Added Origami extensions

extensions/OrigamiPatterns/Hypar.py

@@ -0,0 +1,112 @@
+#! /usr/bin/env python3
+
+import numpy as np
+from math import pi, tan, sqrt, sin, cos
+import inkex
+from Path import Path
+from Pattern import Pattern
+
+class Hypar(Pattern):
+    def __init__(self):
+        Pattern.__init__(self)  # Must be called in order to parse common options
+        self.add_argument("-p", "--pattern",  default="template1", help="Origami pattern")
+        self.add_argument("--radius", type=float, default=10.0, help="Radius of tower (mm)")
+        self.add_argument("--sides", type=int, default=4, help="Number of polygon sides")
+        self.add_argument("--rings", type=int, default=7, help="Number of rings")
+        self.add_argument("--simplify_center", type=inkex.Boolean, default=0, help="Simplify center")
+
+    def generate_path_tree(self):
+        """ Specialized path generation for your origami pattern
+        """
+        # retrieve saved parameters
+        unit_factor = self.calc_unit_factor()
+        vertex_radius = self.options.vertex_radius * unit_factor
+        pattern = self.options.pattern
+        radius = self.options.radius * unit_factor
+        sides = self.options.sides
+        rings = self.options.rings
+        simplify_center = self.options.simplify_center
+        sin_ = sin(pi / float(sides))
+        a = radius*sin_  # half of length of polygon side
+        H = radius*sqrt(1 - sin_**2)
+
+        polygon = Path.generate_polygon(sides, radius, 'e')
+
+        # # OLD diagonals generation with universal creases
+        # diagonals = []
+        # for i in range(sides):
+        #     diagonals.append(Path([(0, 0), polygon.points[i]], 'u'))
+        # points = [(x, y) for x, y in polygon.points]
+        # diagonals = diagonals + [Path.generate_separated_paths(points, 'm')]
+
+        # # modify center if needed
+        # if simplify_center:
+        #     for i in range(sides):
+        #         if i % 2 == 0:
+        #             p2 = diagonals[i].points[1]
+        #             diagonals[i].points[0] = (1. / (rings + 1) * p2[0], 1. / (rings + 1) * p2[1])
+
+        # separate generic closed ring to create edges
+        self.edge_points = polygon.points
+
+        # vertex and diagonal lines creation
+        vertex_line = []
+        diagonal_line = []
+        for i in range(1, rings + 2):
+            y1 = a * (float(i - 1) / (rings + 1.))
+            x1 = H * float(i - 1) / (rings + 1.)
+            y2 = a * (float(i) / (rings + 1.))
+            x2 = H * float(i) / (rings + 1.)
+            vertex_line.append((Path((x2, y2), style='p', radius=vertex_radius)))
+            diagonal_line.append((Path([(x1, y1), (x2, y2)], style='m' if i % 2 else 'v')))
+
+        # rotation of vertices and diagonals for completing the drawing
+        diagonals = []
+        vertices = [Path((0, 0), style='p', radius=vertex_radius)]
+        for i in range(sides):
+            vertices = vertices+Path.list_rotate(vertex_line, i * 2 * pi / float(sides))
+            diagonals = diagonals+[Path.list_rotate(diagonal_line, i * 2 * pi / float(sides))]
+
+        # modify center if needed
+        if simplify_center:
+            for i in range(sides):
+                if i % 2 == 0:
+                    del diagonals[i][0]
+
+        # inkex.debug(len(diagonals))
+        # inkex.debug(len(diagonals[0]))
+        # diagonals = diagonals + diagonal
+
+        # scale generic closed ring to create inner rings
+        inner_rings = []
+        for i in range(rings + 1):
+            inner_rings.append(polygon * (float(i)/(rings+1)))
+            inner_rings[i].style = 'v' if i % 2 else 'm'
+
+        # create points for zig zag pattern
+        zig_zags = []
+        if pattern != "classic":
+            zig_zag = []
+            for i in range(1, rings + 1):
+                y_out = a * ((i + 1.) / (rings + 1.))
+                y_in = a * (float(i) / (rings + 1.))
+                x_out = H * (i + 1.) / (rings + 1.)
+                x_in = H * float(i) / (rings + 1.)
+
+                if pattern == "alternate_asymmetric" and i % 2:
+                    zig_zag.append(Path([(x_in, -y_in), (x_out, +y_out)], style='u'))
+                else:
+                    zig_zag.append(Path([(x_in, +y_in), (x_out, -y_out)], style='u'))
+
+            # reflect zig zag pattern to create all sides
+            zig_zags.append(zig_zag)
+            for i in range(sides - 1):
+                points = diagonals[i][0].points
+                zig_zags.append(Path.list_reflect(zig_zags[i], points[0], points[1]))
+
+        self.translate = (radius, radius)
+        self.path_tree = [diagonals, zig_zags, inner_rings, vertices]
+
+# Main function, creates an instance of the Class and calls inkex.affect() to draw the origami on inkscape
+if __name__ == '__main__':
+    Hypar().run()

extensions/OrigamiPatterns/Kresling.py

@@ -0,0 +1,154 @@
+#! /usr/bin/env python3
+
+from math import pi, sin, cos, tan, acos, sqrt
+import inkex
+from Path import Path
+from Pattern import Pattern
+
+class Kresling(Pattern):
+    def __init__(self):
+        Pattern.__init__(self)  # Must be called in order to parse common options
+        self.add_argument("-p", "--pattern",  default="kresling", help="Origami pattern")
+        self.add_argument("--lines", type=int, default=1, help="Number of lines")
+        self.add_argument("--sides", type=int, default=3, help="Number of polygon sides")
+        self.add_argument("--add_attachment",  type=inkex.Boolean, default=False, help="Add attachment?")
+        self.add_argument("--attachment_percentage", type=float, default=100., help="Length percentage of extra facet")
+        self.add_argument("--mirror_cells", type=inkex.Boolean, default=False,  help="Mirror odd cells?")
+
+    @staticmethod
+    def generate_kresling_zigzag(sides, radius, angle_ratio, add_attachment):
+
+        theta = (pi / 2.) * (1 - 2. / sides)
+        l = 2. * radius * cos(theta * (1. - angle_ratio))
+        a = 2. * radius * sin(pi / sides)
+        # b = sqrt(a * a + l * l - 2 * a * l * cos(angle_ratio * theta))
+        # phi = abs(acos((l * l + b * b - a * a) / (2 * l * b)))
+        # gamma = pi / 2 - angle_ratio * theta - phi
+        dy = l * sin(theta * angle_ratio)
+        dx = l * cos(theta * angle_ratio) - a
+
+        points = []
+        styles = []
+
+        for i in range(sides):
+            points.append((i * a, 0))
+            points.append(((i + 1) * a + dx, -dy))
+            styles.append('v')
+            if i != sides - 1:
+                styles.append('m')
+            elif add_attachment:
+                points.append((sides * a, 0))
+                styles.append('m')
+
+        path = Path.generate_separated_paths(points, styles)
+        return path
+
+    def generate_path_tree(self):
+        """ Specialized path generation for Waterbomb tesselation pattern
+        """
+        unit_factor = self.calc_unit_factor()
+        vertex_radius = self.options.vertex_radius * unit_factor
+        lines = self.options.lines
+        sides = self.options.sides
+        radius = self.options.radius * unit_factor
+        angle_ratio = self.options.angle_ratio
+        mirror_cells = self.options.mirror_cells
+
+        theta = (pi/2.)*(1 - 2./sides)
+        l = 2.*radius*cos(theta*(1.-angle_ratio))
+        a = 2.*radius*sin(pi/sides)
+        # b = sqrt(a*a + l*l - 2*a*l*cos(angle_ratio*theta))
+        # phi = abs(acos((l*l + b*b - a*a)/(2*l*b)))
+        # gamma = pi/2 - angle_ratio*theta - phi
+        # dy = b*cos(gamma)
+        # dx = b*sin(gamma)
+        dy = l * sin(theta * angle_ratio)
+        dx = l * cos(theta * angle_ratio) - a
+
+        add_attachment = self.options.add_attachment
+        attachment_percentage = self.options.attachment_percentage/100.
+        attachment_height = a*(attachment_percentage-1)*tan(angle_ratio*theta)
+
+        vertices = []
+        for i in range(sides + 1):
+            for j in range(lines + 1):
+                if mirror_cells:
+                    vertices.append(Path((dx*((lines - j)%2) + a*i, dy*j), style='p', radius=vertex_radius))
+                else:
+                    vertices.append(Path((dx*(lines - j) + a*i, dy*j), style='p', radius=vertex_radius))
+
+        # create a horizontal grid, then offset each line according to angle
+        grid_h = Path.generate_hgrid([0, a * sides], [0, dy * lines], lines, 'm')
+
+
+        if not mirror_cells:
+            # shift every mountain line of the grid to the right by increasing amounts
+            grid_h = Path.list_add(grid_h, [(i * dx, 0) for i in range(lines - 1, 0, -1)])
+        else:
+            # shift every OTHER mountain line of the grid a bit to the right
+            grid_h = Path.list_add(grid_h, [((i%2)*dx, 0) for i in range(lines-1, 0, -1)])
+            if add_attachment:
+                for i in range(lines%2, lines-1, 2):
+                    # hacky solution, changes length of every other mountain line
+                    grid_h[i].points[1-i%2] = (grid_h[i].points[1-i%2][0] + a*attachment_percentage, grid_h[i].points[1-i%2][1])
+
+
+        # create MV zigzag for Kresling pattern
+        zigzag = Kresling.generate_kresling_zigzag(sides, radius, angle_ratio, add_attachment)
+        zigzags = []
+
+        # duplicate zigzag pattern for desired number of cells
+        if not mirror_cells:
+            for i in range(lines):
+                zigzags.append(Path.list_add(zigzag, (i * dx, (lines - i) * dy)))
+        else:
+            zigzag_mirror = Path.list_reflect(zigzag, (0, lines * dy / 2), (dx, lines * dy / 2))
+            for i in range(lines):
+                if i % 2 == 1:
+                    zigzags.append(Path.list_add(zigzag_mirror, (0, -(lines - i + (lines-1)%2) * dy)))
+                else:
+                    zigzags.append(Path.list_add(zigzag, (0, (lines - i) * dy)))
+
+        # create edge strokes
+        if not mirror_cells:
+            self.edge_points = [
+                (a * sides             , dy * lines),  # bottom right
+                (0                     , dy * lines),  # bottom left
+                (dx * lines            , 0),  # top left
+                (dx * lines + a * sides, 0)]  # top right
+
+            if add_attachment:
+                for i in range(lines):
+                    x = dx * (lines - i) + a * (sides + attachment_percentage)
+                    self.edge_points.append((x, dy * i))
+                    self.edge_points.append((x, dy * i - attachment_height))
+                    if i != lines - 1:
+                        self.edge_points.append((x-dx-a*attachment_percentage, dy * (i + 1)))
+                        pass
+
+        else:
+            self.edge_points = [(a * sides + (lines % 2)*dx, 0)]
+
+            for i in range(lines+1):
+                self.edge_points.append([((lines+i) % 2)*dx, dy*i])
+
+            self.edge_points.append([a * sides + ((lines+i) %2)*dx, lines*dy])
+
+            if add_attachment:
+                for i in range(lines + 1):
+
+                    if not i%2 == 0:
+                        self.edge_points.append([a*sides + (i%2)*(dx+a*attachment_percentage), dy*(lines - i) - (i%2)*attachment_height])
+                        self.edge_points.append([a*sides + (i%2)*(dx+a*attachment_percentage), dy*(lines - i)])
+                        if (i != lines):
+                            self.edge_points.append([a * sides + (i % 2) * (dx + a * attachment_percentage), dy * (lines - i) + (i % 2) * attachment_height])
+                    else:
+                        self.edge_points.append([a * sides + (i % 2) * (dx + a * attachment_percentage), dy * (lines - i)])
+            else:
+                for i in range(lines + 1):
+                    self.edge_points.append([a*sides + (i%2)*dx, dy*(lines - i)])
+
+        self.path_tree = [grid_h, zigzags, vertices]
+
+if __name__ == '__main__':
+    Kresling().run()

extensions/OrigamiPatterns/Kresling_full.py

@@ -0,0 +1,89 @@
+#! /usr/bin/env python3
+
+from math import sin, cos, sqrt, asin, pi, ceil
+import inkex
+from Path import Path
+from Pattern import Pattern
+from Kresling import Kresling
+
+
+class Kresling_Full(Kresling):
+    
+    def __init__(self):
+        """ Constructor
+        """
+        Kresling.__init__(self)  # Must be called in order to parse common options
+
+        self.add_argument('--measure_value', type=float, default=10.0, help="Length")
+        self.add_argument('--measure_type', default=60, help="Type of length")
+        self.add_argument('--parameter_type', default=60, help="Type of parameter")
+        self.add_argument('--radial_ratio', type=float, default=0.5, help="Radial ratio")
+        self.add_argument('--angle_ratio', type=float, default=0.5, help="Anle ratio")
+        self.add_argument('--lambdatheta', type=float, default=45, help="lambdatheta")
+        
+    def generate_path_tree(self):
+        """ Convert radial to angular ratio, then call regular Kresling constructor
+        """
+        n = self.options.sides
+        theta = pi*(n-2)/(2*n)   
+        # define ratio parameter
+        parameter = self.options.parameter_type
+        if parameter == 'radial_ratio':
+            radial_ratio = self.options.radial_ratio
+            max_radial_ratio = sin((pi/4)*(1. - 2./n))
+            if radial_ratio > max_radial_ratio:
+                inkex.errormsg(_("For polygon of {} sides, the maximal radial ratio is = {}".format(n, max_radial_ratio)))
+                radial_ratio = max_radial_ratio
+            self.options.angle_ratio = 1 - 2*n*asin(radial_ratio)/((n-2)*pi)
+
+        elif parameter == 'lambdatheta':
+            lambdatheta = self.options.lambdatheta
+            angle_min = 45. * (1 - 2. / n)
+            angle_max = 2 * angle_min
+            if lambdatheta < angle_min:
+                inkex.errormsg(_(
+                    "For polygon of {} sides, phi must be between {} and {} degrees, \nsetting lambda*theta = {}\n".format(
+                        n, angle_min, angle_max, angle_min)))
+                lambdatheta = angle_min
+            elif lambdatheta > angle_max:
+                inkex.errormsg(_(
+                    "For polygon of {} sides, phi must be between {} and {} degrees, \nsetting lambda*theta = {}\n".format(
+                        n, angle_min, angle_max, angle_max)))
+                lambdatheta = angle_max
+            self.options.angle_ratio = lambdatheta * n / (90. * (n - 2.))
+
+
+        # define some length
+        mtype = self.options.measure_type
+        mvalue = self.options.measure_value
+        angle_ratio = self.options.angle_ratio
+        if mtype == 'a':
+            radius = 0.5*mvalue / (sin(pi/n))
+        if mtype == 'b':
+            A = cos(theta*(1-angle_ratio))
+            B = sin(pi/n)
+            C = cos(theta*angle_ratio)
+            radius = 0.5*mvalue / sqrt(A**2 + B**2 - 2*A*B*C)
+        elif mtype == 'l':
+            radius = 0.5*mvalue/cos(theta*(1-angle_ratio))
+        elif mtype == 'radius_external':
+            radius = mvalue
+        elif mtype == 'radius_internal':
+            radius = mvalue/(sin(theta*(1-angle_ratio)))
+        elif mtype == 'diameter_external':
+            radius = 0.5*mvalue
+        elif mtype == 'diameter_internal':
+            radius = 0.5*mvalue/sin(theta*(1-angle_ratio))
+
+        # inkex.errormsg(_("Value = {}, Mode = {}, Radius = {}".format(mvalue, mtype, radius)))
+
+        if self.options.pattern == 'mirrowed':
+            self.options.mirror_cells = True
+        else:
+            self.options.mirror_cells = False
+        self.options.radius = radius
+
+        Kresling.generate_path_tree(self)
+
+if __name__ == '__main__':
+    Kresling_Full().run()

extensions/OrigamiPatterns/Path.py

@@ -0,0 +1,466 @@
+#! /usr/bin/env python3
+
+import inkex
+from lxml import etree
+from math import sin, cos, pi
+
+class Path:
+    """ Class that defines an svg stroke to be drawn in Inkscape
+
+    Attributes
+    ---------
+    points: tuple or list of tuples
+        Points defining stroke lines.
+    style: str
+        Single character defining style of stroke. Default values are:
+        'm' for mountain creases
+        'v' for valley creases
+        'e' for edge borders
+        Extra possible values:
+        'u' for universal creases
+        's' for semicreases
+        'c' for kirigami cuts
+    closed: bool
+        Tells if desired path should contain a last stroke from the last point to the first point, closing the path
+    radius: float
+        If only one point is given, it's assumed to be a circle and radius sets the radius
+
+
+    Methods
+    ---------
+    invert(self)
+        Inverts path
+
+    Overloaded Operators
+    ---------
+    __add__(self, offsets)
+        Adding a tuple to a Path returns a new path with all points having an offset defined by the tuple
+
+    __mul__(self, transform)
+        Define multiplication of a Path to a vector in complex exponential representation
+
+
+    Static Methods
+    ---------
+    draw_paths_recursively(path_tree, group, styles_dict)
+        Draws strokes defined on "path_tree" to "group". Styles dict maps style of path_tree element to the definition
+        of the style. Ex.:
+        if path_tree[i].style = 'm', styles_dict must have an element 'm'.
+
+    generate_hgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False)
+        Generate list of Path instances, in which each Path is a stroke defining a horizontal grid dividing the space
+        xlims * ylims nb_of_divisions times.
+
+    generate_vgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False)
+        Generate list of Path instances, in which each Path is a stroke defining a vertical grid dividing the space
+        xlims * ylims nb_of_divisions times.
+
+    generate_separated_paths(cls, points, styles, closed=False)
+        Generate list of Path instances, in which each Path is the stroke between each two point tuples, in case each
+        stroke must be handled separately
+
+    reflect(cls, path, p1, p2)
+        Reflects each point of path on line defined by two points and return new Path instance with new reflected points
+
+    list_reflect(cls, paths, p1, p2)
+        Generate list of new Path instances, rotation each path by transform
+
+    list_rotate(cls, paths, theta, translation=(0, 0))
+        Generate list of new Path instances, rotation each path by transform
+
+    list_add(cls, paths, offsets)
+        Generate list of new Path instances, adding a different tuple for each list
+
+
+    """
+
+    def __init__(self, points, style, closed=False, invert=False, radius=0.1, separated=False):
+        """ Constructor
+
+        Parameters
+        ---------
+        points: list of 2D tuples
+            stroke will connect all points
+        style: str
+            Single character defining style of stroke. For use with the OrigamiPatterns class (probably the only
+            project that will ever use this file) the default values are:
+            'm' for mountain creases
+            'v' for valley creases
+            'e' for edge borders
+        closed: bool 
+            if true, last point will be connected to first point at the end
+        invert: bool
+            if true, stroke will start at the last point and go all the way to the first one
+        """
+        if type(points) == list and len(points) != 1:
+            self.type = 'linear'
+            if invert:
+                self.points = points[::-1]
+            else:
+                self.points = points
+
+        elif (type(points) == list and len(points) == 1):
+            self.type = 'circular'
+            self.points = points
+            self.radius = radius
+
+        elif (type(points) == tuple and len(points) == 2):
+            self.type = 'circular'
+            self.points = [points]
+            self.radius = radius
+
+        else:
+            raise TypeError("Points must be tuple of length 2 (for a circle) or a list of tuples of length 2 each")
+
+        self.style = style
+        self.closed = closed
+
+    def invert(self):
+        """ Inverts path
+        """
+        self.points = self.points[::-1]
+
+    """ 
+        Draw path recursively
+        - Static method
+        - Draws strokes defined on "path_tree" to "group"
+        - Inputs:
+        -- path_tree [nested list] of Path instances
+        -- group [etree.SubElement]
+        -- styles_dict [dict] containing all styles for path_tree
+        """
+    @staticmethod
+    def draw_paths_recursively(path_tree, group, styles_dict):
+        """ Static method, draw list of Path instances recursively
+        """
+        for subpath in path_tree:
+            if type(subpath) == list:
+                if len(subpath) == 1:
+                    subgroup = group
+                else:
+                    subgroup = etree.SubElement(group, 'g')
+                Path.draw_paths_recursively(subpath, subgroup, styles_dict)
+            else:
+                if styles_dict[subpath.style]['draw']:
+                    if subpath.type == 'linear':
+
+                        points = subpath.points
+                        path = 'M{},{} '.format(*points[0])
+                        for i in range(1, len(points)):
+                            path = path + 'L{},{} '.format(*points[i])
+                        if subpath.closed:
+                            path = path + 'L{},{} Z'.format(*points[0])
+
+                        attribs = {'style': str(inkex.Style(styles_dict[subpath.style])), 'd': path}
+                        etree.SubElement(group, inkex.addNS('path', 'svg'), attribs)
+                    else:
+                        attribs = {'style': str(inkex.Style(styles_dict[subpath.style])),
+                                   'cx': str(subpath.points[0][0]), 'cy': str(subpath.points[0][1]),
+                                   'r': str(subpath.radius)}
+                        etree.SubElement(group, inkex.addNS('circle', 'svg'), attribs)
+
+    @classmethod
+    def generate_hgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False):
+        """ Generate list of Path instances, in which each Path is a stroke defining
+        a horizontal grid dividing the space xlims * ylims nb_of_divisions times.
+
+        All lines are alternated, to minimize Laser Cutter unnecessary movements
+
+        Parameters
+        ---------
+        xlims: tuple
+            Defines x_min and x_max for space that must be divided.
+        ylims: tuple
+            Defines y_min and y_max for space that must be divided.
+        nb_of_divisions: int
+            Defines how many times it should be divided.
+        style: str
+            Single character defining style of stroke.
+        include_edge: bool 
+            Defines if edge should be drawn or not.
+
+        Returns
+        ---------
+        paths: list of Path instances
+        """
+        rect_len = (ylims[1] - ylims[0])/nb_of_divisions
+        hgrid = []
+        for i in range(1 - include_edge, nb_of_divisions + include_edge):
+            hgrid.append(cls([(xlims[0], ylims[0]+i*rect_len),
+                              (xlims[1], ylims[0]+i*rect_len)],
+                             style=style, invert=i % 2 == 0))
+        return hgrid
+
+    @classmethod
+    def generate_vgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False):
+        """ Generate list of Path instances, in which each Path is a stroke defining
+        a vertical grid dividing the space xlims * ylims nb_of_divisions times.
+
+        All lines are alternated, to minimize Laser Cutter unnecessary movements
+
+        Parameters
+        ---------
+        -> refer to generate_hgrid
+
+        Returns
+        ---------
+        paths: list of Path instances
+        """
+        rect_len = (xlims[1] - xlims[0])/nb_of_divisions
+        vgrid = []
+        for i in range(1 - include_edge, nb_of_divisions + include_edge):
+            vgrid.append(cls([(xlims[0]+i*rect_len, ylims[0]),
+                              (xlims[0]+i*rect_len, ylims[1])],
+                             style=style, invert=i % 2 == 0))
+        return vgrid
+
+    @classmethod
+    def generate_polygon(cls, sides, radius, style, center=(0, 0)):
+        points = []
+        for i in range(sides):
+            points.append((radius * cos((1 + i * 2) * pi / sides),
+                           radius * sin((1 + i * 2) * pi / sides)))
+        return Path(points, style, closed=True)
+
+    @classmethod
+    def generate_separated_paths(cls, points, styles, closed=False):
+        """ Generate list of Path instances, in which each Path is the stroke
+        between each two point tuples, in case each stroke must be handled separately.
+
+        Returns
+        ---------
+        paths: list
+            list of Path instances
+        """
+        paths = []
+        if type(styles) == str:
+            styles = [styles] * (len(points) - 1 + int(closed))
+        elif len(styles) != len(points) - 1 + int(closed):
+            raise TypeError("Number of paths and styles don't match")
+        for i in range(len(points) - 1 + int(closed)):
+            j = (i+1)%len(points)
+            paths.append(cls([points[i], points[j]],
+                             styles[i]))
+        return paths
+
+    def __add__(self, offsets):
+        """ " + " operator overload.
+        Adding a tuple to a Path returns a new path with all points having an offset
+        defined by the tuple
+        """
+        if type(offsets) == list:
+            if len(offsets) != 1 or len(offsets) != len(self.points):
+                raise TypeError("Paths can only be added by a tuple of a list of N tuples, "
+                                "where N is the same number of points")
+
+        elif type(offsets) != tuple:
+            raise TypeError("Paths can only be added by tuples")
+        else:
+            offsets = [offsets] * len(self.points)
+
+        # if type(self.points) == list:
+        points_new = []
+        for point, offset in zip(self.points, offsets):
+            points_new.append((point[0]+offset[0],
+                               point[1]+offset[1]))
+
+        if self.type == 'circular':
+            radius = self.radius
+        else:
+            radius = 0.2
+
+         # if self.type == 'circular' else 0.1
+
+        return Path(points_new, self.style, self.closed, radius=radius)
+
+    @classmethod
+    def list_add(cls, paths, offsets):
+        """ Generate list of new Path instances, adding a different tuple for each list
+
+        Parameters
+        ---------
+        paths: Path or list
+            list of N Path instances
+        offsets: tuple or list
+            list of N tuples
+
+        Returns
+        ---------
+        paths_new: list
+            list of N Path instances
+        """
+        if type(paths) == Path and type(offsets) == tuple:
+            paths = [paths]
+            offsets = [offsets]
+        elif type(paths) == list and type(offsets) == tuple:
+            offsets = [offsets] * len(paths)
+        elif type(paths) == Path and type(offsets) == list:
+            paths = [paths] * len(offsets)
+        elif type(paths) == list and type(offsets) == list:
+            if len(paths) == 1:
+                paths = [paths[0]] * len(offsets)
+            elif len(offsets) == 1:
+                offsets = [offsets[0]] * len(paths)
+            elif len(offsets) != len(paths):
+                raise TypeError("List of paths and list of tuples must have same length. {} paths and {} offsets "
+                                " where given".format(len(paths), len(offsets)))
+            else:
+                pass
+
+        paths_new = []
+        for path, offset in zip(paths, offsets):
+            paths_new.append(path+offset)
+
+        return paths_new
+
+    def __mul__(self, transform):
+        """ " * " operator overload.
+        Define multiplication of a Path to a vector in complex exponential representation
+
+        Parameters
+        ---------
+        transform: float of tuple of length 2 or 4
+            if float, transform represents magnitude
+                Example: path * 3
+            if tuple length 2, transform[0] represents magnitude and transform[1] represents angle of rotation
+                Example: path * (3, pi)
+            if tuple length 4, transform[2],transform[3] define a different axis of rotation
+                Example: path * (3, pi, 1, 1)
+        """
+        points_new = []
+
+        # "temporary" (probably permanent) compatibility hack
+        try:
+            long_ = long
+        except:
+            long_ = int
+            
+        if isinstance(transform, (int, long_, float)):
+            for p in self.points:
+                points_new.append((transform * p[0],
+                                   transform * p[1]))
+
+        elif isinstance(transform, (list, tuple)):
+            if len(transform) == 2:
+                u = transform[0]*cos(transform[1])
+                v = transform[0]*sin(transform[1])
+                x_, y_ = 0, 0
+            elif len(transform) == 4:
+                u = transform[0]*cos(transform[1])
+                v = transform[0]*sin(transform[1])
+                x_, y_ = transform[2:]
+            else:
+                raise IndexError('Paths can only be multiplied by a number or a tuple/list of length 2 or 4')
+
+            for p in self.points:
+                x, y = p[0]-x_, p[1]-y_
+                points_new.append((x_ + x * u - y * v,
+                                   y_ + x * v + y * u))
+        else:
+            raise TypeError('Paths can only be multiplied by a number or a tuple/list of length 2 or 4')
+
+        if self.type == 'circular':
+            radius = self.radius
+        else:
+            radius = 0.2
+
+        return Path(points_new, self.style, self.closed, radius=radius)
+
+    @classmethod
+    def list_rotate(cls, paths, theta, translation=(0, 0)):
+        """ Generate list of new Path instances, rotation each path by transform
+
+        Parameters
+        ---------
+        paths: Path or list
+            list of N Path instances
+        theta: float (radians)
+            angle of rotation
+        translation: tuple or list 2
+            axis of rotation
+
+        Returns
+        ---------
+        paths_new: list
+            list of N Path instances
+        """
+        if len(translation) != 2:
+            TypeError("Translation must have length 2")
+
+        if type(paths) != list:
+            paths = [paths]
+
+        paths_new = []
+        for path in paths:
+            paths_new.append(path*(1, theta, translation[0], translation[1]))
+
+        if len(paths_new) == 1:
+            paths_new = paths_new[0]
+        return paths_new
+
+    # TODO:
+    # Apparently it's not working properly, must be debugged and tested
+    @classmethod
+    def reflect(cls, path, p1, p2):
+        """ Reflects each point of path on line defined by two points and return new Path instance with new reflected points
+
+        Parameters
+        ---------
+        path: Path
+        p1: tuple or list of size 2
+        p2: tuple or list of size 2
+
+        Returns
+        ---------
+        path_reflected: Path
+        """
+
+        (x1, y1) = p1
+        (x2, y2) = p2
+
+        if x1 == x2 and y1 == y2:
+            ValueError("Duplicate points don't define a line")
+        elif x1 == x2:
+            t_x = [-1, 0, 2*x1, 1]
+            t_y = [0, 1, 0, 1]
+        else:
+            m = (y2 - y1)/(x2 - x1)
+            t = y1 - m*x1
+            t_x = [1 - m**2, 2*m, -2*m*t, m**2 + 1]
+            t_y = [2*m, m**2 - 1, +2*t, m**2 + 1]
+
+        points_new = []
+        for p in path.points:
+            x_ = (t_x[0]*p[0] + t_x[1]*p[1] + t_x[2]) / t_x[3]
+            y_ = (t_y[0]*p[0] + t_y[1]*p[1] + t_y[2]) / t_y[3]
+            points_new.append((x_, y_))
+
+        return Path(points_new, path.style, path.closed)
+
+    # TODO:
+    # Apparently it's not working properly, must be debugged and tested
+    @classmethod
+    def list_reflect(cls, paths, p1, p2):
+        """ Generate list of new Path instances, rotation each path by transform
+
+        Parameters
+        ---------
+        paths: Path or list
+            list of N Path instances
+        p1: tuple or list of size 2
+        p2: tuple or list of size 2
+
+        Returns
+        ---------
+        paths_new: list
+            list of N Path instances
+        """
+
+        if type(paths) == Path:
+            paths = [paths]
+
+        paths_new = []
+        for path in paths:
+            paths_new.append(Path.reflect(path, p1, p2))
+
+        return paths_new

extensions/OrigamiPatterns/Pattern.py

@@ -0,0 +1,249 @@
+#! /usr/bin/env python3
+
+import os
+from abc import abstractmethod
+from lxml import etree
+from Path import Path, inkex
+
+class Pattern(inkex.Effect):
+    @abstractmethod
+    def generate_path_tree(self):
+        """ Generate nested list of Path instances 
+        Abstract method, must be defined in all child classes
+        """
+        pass
+
+    def __init__(self):
+        inkex.Effect.__init__(self)  # initialize the super class
+        self.add_argument = self.arg_parser.add_argument
+        self.add_argument("-u", "--units", default='mm', help="Units this dialog is using")
+                  
+        # self.add_argument("-a", "--add_attachment", type=inkex.Boolean, default=False, help="command line help")
+        # self.add_argument("", "--accuracy", type=int, default=0, help="command line help")
+
+        # --------------------------------------------------------------------------------------------------------------
+        # mountain options
+        self.add_argument('-m', '--mountain_stroke_color', default=4278190335, help='The mountain creases color.')
+        self.add_argument('--mountain_stroke_width', type=float, default=0.1, help='Width of mountain strokes.')
+        self.add_argument('--mountain_dashes_len', type=float, default=1.0, help='Mountain dash + gap length.')
+        self.add_argument('--mountain_dashes_duty', type=float, default=0.5, help='Mountain dash duty cycle.')
+        self.add_argument('--mountain_dashes_bool', type=inkex.Boolean, default=True, help='Dashed strokes?')
+        self.add_argument('--mountain_bool', type=inkex.Boolean, default=True, help='Draw mountains?')
+
+        # --------------------------------------------------------------------------------------------------------------
+        # valley options
+        self.add_argument('-v', '--valley_stroke_color', default=65535, help='The valley creases color.')
+        self.add_argument('--valley_stroke_width', type=float,  default=0.1, help='Width of valley strokes.')
+        self.add_argument('--valley_dashes_len', type=float, default=1.0, help='Valley dash + gap length.')
+        self.add_argument('--valley_dashes_duty', type=float, default=0.25, help='Valley dash duty cycle.')
+        self.add_argument('--valley_dashes_bool', type=inkex.Boolean, default=True, help='Dashed strokes?')
+        self.add_argument('--valley_bool', type=inkex.Boolean, default=True, help='Draw valleys?')
+
+        # --------------------------------------------------------------------------------------------------------------
+        # edge options
+        self.add_argument('-e', '--edge_stroke_color', default=255, help='The mountain creases color.')
+        self.add_argument('--edge_stroke_width', type=float, default=0.1, help='Width of edge strokes.')
+        self.add_argument('--edge_dashes_len', type=float, default=1.0, help='Edge dash + gap length.')
+        self.add_argument('--edge_dashes_duty', type=float, default=0.25, help='Edge dash duty cycle.')
+        self.add_argument('--edge_dashes_bool', type=inkex.Boolean, default=False, help='Dashed strokes?')
+        self.add_argument('--edge_bool', type=inkex.Boolean, default=True, help='Draw edges?')
+        self.add_argument('--edge_single_path', type=inkex.Boolean, default=True, help='Edges as single path?')
+
+        # --------------------------------------------------------------------------------------------------------------
+        # universal crease options
+        self.add_argument('--universal_stroke_color', default=4278255615, help='The universal creases color.')
+        self.add_argument('--universal_stroke_width', type=float, default=0.1, help='Width of universal strokes.')
+        self.add_argument('--universal_dashes_len', type=float, default=1.0, help='Universal dash + gap length.')
+        self.add_argument('--universal_dashes_duty', type=float, default=0.25, help='Universal dash duty cycle.')
+        self.add_argument('--universal_dashes_bool', type=inkex.Boolean, default=False, help='Dashed strokes?')
+        self.add_argument('--universal_bool', type=inkex.Boolean, default=True, help='Draw universal creases?')
+
+        # --------------------------------------------------------------------------------------------------------------
+        # semicrease options
+        self.add_argument('--semicrease_stroke_color',  default=4294902015, help='The semicrease creases color.')
+        self.add_argument('--semicrease_stroke_width', type=float, default=0.1, help='Width of semicrease strokes.')
+        self.add_argument('--semicrease_dashes_len',  type=float, default=1.0, help='Semicrease dash + gap length.')
+        self.add_argument('--semicrease_dashes_duty', type=float,default=0.25, help='Semicrease dash duty cycle.')
+        self.add_argument('--semicrease_dashes_bool', type=inkex.Boolean, default=False, help='Dashed strokes?')
+        self.add_argument('--semicrease_bool', type=inkex.Boolean,  default=True, help='Draw semicreases?')
+
+        # --------------------------------------------------------------------------------------------------------------
+        # cut options
+        self.add_argument('--cut_stroke_color', default=16711935,  help='The cut creases color.')
+        self.add_argument('--cut_stroke_width', type=float, default=0.1, help='Width of cut strokes.')
+        self.add_argument('--cut_dashes_len', type=float, default=1.0, help='Cut dash + gap length.')
+        self.add_argument('--cut_dashes_duty', type=float, default=0.25, help='Cut dash duty cycle.')
+        self.add_argument('--cut_dashes_bool', type=inkex.Boolean, default=False, help='Dashed strokes?')
+        self.add_argument('--cut_bool', type=inkex.Boolean, default=True, help='Draw cuts?')
+
+        # --------------------------------------------------------------------------------------------------------------
+        # vertex options
+        self.add_argument('--vertex_stroke_color', default=255,  help='Vertices\' color.')
+        self.add_argument('--vertex_stroke_width', type=float, default=0.1,  help='Width of vertex strokes.')
+        self.add_argument('--vertex_radius', type=float, default=0.1, help='Radius of vertices.')
+        self.add_argument('--vertex_bool', type=inkex.Boolean, default=True, help='Draw vertices?')
+        # here so we can have tabs - but we do not use it directly - else error
+        self.add_argument('--active-tab', default='title', help="Active tab.")
+
+        self.path_tree = []
+        self.edge_points = []
+        self.translate = (0, 0)
+
+    def effect(self):
+        """ Main function, called when the extension is run.
+        """
+        # construct dictionary containing styles
+        self.create_styles_dict()
+
+        # get paths for selected origami pattern
+        self.generate_path_tree()
+
+        # ~ accuracy = self.options.accuracy
+        # ~ unit_factor = self.calc_unit_factor()
+        # what page are we on
+        # page_id = self.options.active_tab # sometimes wrong the very first time
+
+        # Translate according to translate attribute
+        g_attribs = {inkex.addNS('label', 'inkscape'): '{} Origami pattern'.format(self.options.pattern),
+                       # inkex.addNS('transform-center-x','inkscape'): str(-bbox_center[0]),
+                       # inkex.addNS('transform-center-y','inkscape'): str(-bbox_center[1]),
+                     inkex.addNS('transform-center-x', 'inkscape'): str(0),
+                     inkex.addNS('transform-center-y', 'inkscape'): str(0),
+                     'transform': 'translate(%s,%s)' % self.translate}
+
+        # add the group to the document's current layer
+        if type(self.path_tree) == list and len(self.path_tree) != 1:
+            self.topgroup = etree.SubElement(self.get_layer(), 'g', g_attribs)
+        else:
+            self.topgroup = self.get_layer()
+
+        if len(self.edge_points) == 0:
+            Path.draw_paths_recursively(self.path_tree, self.topgroup, self.styles_dict)
+        elif self.options.edge_single_path:
+            edges = Path(self.edge_points, 'e', closed=True)
+            Path.draw_paths_recursively(self.path_tree + [edges], self.topgroup, self.styles_dict)
+        else:
+            edges = Path.generate_separated_paths(self.edge_points, 'e', closed=True)
+            Path.draw_paths_recursively(self.path_tree + edges, self.topgroup, self.styles_dict)
+
+        # self.draw_paths_recursively(self.path_tree, self.topgroup, self.styles_dict)
+
+    # compatibility hack
+    def get_layer(self):
+        try:
+            return self.svg.get_current_layer() # new
+        except:
+            return self.current_layer # old
+
+    def create_styles_dict(self):
+        """ Get stroke style parameters and use them to create the styles dictionary, used for the Path generation
+        """
+        unit_factor = self.calc_unit_factor()
+        
+        # define colour and stroke width
+        mountain_style = {'draw': self.options.mountain_bool,
+                          'stroke': self.get_color_string(self.options.mountain_stroke_color),
+                          'fill': 'none',
+                          'stroke-width': self.options.mountain_stroke_width*unit_factor}
+
+        valley_style = {'draw': self.options.valley_bool,
+                        'stroke': self.get_color_string(self.options.valley_stroke_color),
+                        'fill': 'none',
+                        'stroke-width': self.options.valley_stroke_width*unit_factor}
+
+        universal_style = {'draw': self.options.universal_bool,
+                           'stroke': self.get_color_string(self.options.universal_stroke_color),
+                           'fill': 'none',
+                           'stroke-width': self.options.universal_stroke_width*unit_factor}
+
+        semicrease_style = {'draw': self.options.semicrease_bool,
+                            'stroke': self.get_color_string(self.options.semicrease_stroke_color),
+                            'fill': 'none',
+                            'stroke-width': self.options.semicrease_stroke_width*unit_factor}
+
+        cut_style = {'draw': self.options.cut_bool,
+                     'stroke': self.get_color_string(self.options.cut_stroke_color),
+                     'fill': 'none',
+                     'stroke-width': self.options.cut_stroke_width*unit_factor}
+
+        edge_style = {'draw': self.options.edge_bool,
+                      'stroke': self.get_color_string(self.options.edge_stroke_color),
+                      'fill': 'none',
+                      'stroke-width': self.options.edge_stroke_width*unit_factor}
+
+        vertex_style = {'draw': self.options.vertex_bool,
+                        'stroke': self.get_color_string(self.options.vertex_stroke_color),
+                        'fill': 'none',
+                        'stroke-width': self.options.vertex_stroke_width*unit_factor}
+
+        # check if dashed option selected
+        if self.options.mountain_dashes_bool:
+            dash = self.options.mountain_dashes_len*self.options.mountain_dashes_duty*unit_factor
+            gap = abs(dash - self.options.mountain_dashes_len*unit_factor)
+            mountain_style['stroke-dasharray'] = "{},{}".format(dash, gap)
+        if self.options.valley_dashes_bool:
+            dash = self.options.valley_dashes_len * self.options.valley_dashes_duty*unit_factor
+            gap = abs(dash - self.options.valley_dashes_len*unit_factor)
+            valley_style['stroke-dasharray'] = "{},{}".format(dash, gap)
+        if self.options.edge_dashes_bool:
+            dash = self.options.edge_dashes_len * self.options.edge_dashes_duty*unit_factor
+            gap = abs(dash - self.options.edge_dashes_len*unit_factor)
+            edge_style['stroke-dasharray'] = "{},{}".format(dash, gap)
+        if self.options.universal_dashes_bool:
+            dash = self.options.universal_dashes_len * self.options.universal_dashes_duty*unit_factor
+            gap = abs(dash - self.options.universal_dashes_len*unit_factor)
+            universal_style['stroke-dasharray'] = "{},{}".format(dash, gap)
+        if self.options.semicrease_dashes_bool:
+            dash = self.options.semicrease_dashes_len * self.options.semicrease_dashes_duty*unit_factor
+            gap = abs(dash - self.options.semicrease_dashes_len*unit_factor)
+            semicrease_style['stroke-dasharray'] = "{},{}".format(dash, gap)
+        if self.options.cut_dashes_bool:
+            dash = self.options.cut_dashes_len * self.options.cut_dashes_duty*unit_factor
+            gap = abs(dash - self.options.cut_dashes_len*unit_factor)
+            cut_style['stroke-dasharray'] = "{},{}".format(dash, gap)
+
+        self.styles_dict = {'m': mountain_style,
+                            'v': valley_style,
+                            'u': universal_style,
+                            's': semicrease_style,
+                            'c': cut_style,
+                            'e': edge_style,
+                            'p': vertex_style}
+
+    def get_color_string(self, longColor, verbose=False):
+        """ Convert the long into a #RRGGBB color value
+            - verbose=true pops up value for us in defaults
+            conversion back is A + B*256^1 + G*256^2 + R*256^3
+        """
+        # compatibility hack, no "long" in Python 3
+        try:
+            longColor = long(longColor)
+            if longColor < 0: longColor = long(longColor) & 0xFFFFFFFF
+            hexColor = hex(longColor)[2:-3]
+        except:
+            longColor = int(longColor)
+            hexColor = hex(longColor)[2:-2]
+            inkex.debug = inkex.utils.debug
+
+        hexColor = '#' + hexColor.rjust(6, '0').upper()
+        if verbose: inkex.debug("longColor = {}, hex = {}".format(longColor,hexColor))
+
+        return hexColor
+    
+    def add_text(self, node, text, position, text_height=12):
+        """ Create and insert a single line of text into the svg under node.
+        """
+        line_style = {'font-size': '%dpx' % text_height, 'font-style':'normal', 'font-weight': 'normal',
+                     'fill': '#F6921E', 'font-family': 'Bitstream Vera Sans,sans-serif',
+                     'text-anchor': 'middle', 'text-align': 'center'}
+        line_attribs = {inkex.addNS('label','inkscape'): 'Annotation',
+                       'style': str(Inkex.style(line_style)),
+                       'x': str(position[0]),
+                       'y': str((position[1] + text_height) * 1.2)
+                       }
+        line = etree.SubElement(node, inkex.addNS('text','svg'), line_attribs)
+        line.text = text
+
+           
+    def calc_unit_factor(self):
+        return self.svg.unittouu(str(1.0) + self.options.units)

extensions/OrigamiPatterns/Pleat_Circular.py

@@ -0,0 +1,91 @@
+#! /usr/bin/env python3
+
+import inkex
+import numpy as np
+from math import pi, sin, cos
+from Path import Path
+from Pattern import Pattern
+
+
+# Select name of class, inherits from Pattern
+# TODO:
+# 1) Implement __init__ method to get all custom options and then call Pattern's __init__
+# 2) Implement generate_path_tree to define all of the desired strokes
+
+class PleatCircular(Pattern):
+    def __init__(self):
+        Pattern.__init__(self)
+        self.add_argument("-p", "--pattern", default="pleat_circular", help="Origami pattern")
+        self.add_argument("--radius",  type=float, default=55.0, help="Radius of circle")
+        self.add_argument("--ratio", type=float, default=0.4, help="Opening ratio")
+        self.add_argument("--rings", type=int, default=15, help="Number of rings")
+        self.add_argument("--simulation_mode", type=inkex.Boolean, default=True, help="Approximate circle and draw semicreases for simulation?")
+        self.add_argument("--sides", type=int, default=20, help="Number of sides for polygon approximating half circle")
+
+    def generate_path_tree(self):
+        """ Specialized path generation for your origami pattern
+        """
+        # retrieve saved parameters
+        unit_factor = self.calc_unit_factor()
+        R = self.options.radius * unit_factor
+        ratio = self.options.ratio
+        r = R * ratio
+        rings = self.options.rings
+        dr = (1.-ratio)*R/rings
+        self.translate = (R, R)
+
+        if not self.options.simulation_mode:
+            inner_circles = []
+            for i in range(1, rings):
+                inner_circles.append(Path((0, 0), radius=r + i*dr, style='m' if i % 2 else 'v'))
+
+            edges = [Path((0, 0), radius=R, style='e'),
+                     Path((0, 0), radius=r, style='e')]
+
+            self.path_tree = [inner_circles, edges]
+
+        # append semicreases for simulation
+        else:
+            sides = self.options.sides
+            dtheta = pi / sides
+            # create diagonals
+            diagonals = []
+            for i in range(sides):
+                p1 = (0, 0)
+                p2 = (R * cos((1 + i * 2) * dtheta), R * sin((1 + i * 2) * dtheta))
+                diagonals.append(Path([p1, p2], 'u'))
+
+            s = sin(dtheta)
+            c = cos(dtheta)
+
+            # Edge
+            paths = [Path([(c * R, -s * R), (R, 0), (c * R, s * R)], style='e'),
+                     Path([(c * r, -s * r), (r, 0), (c * r, s * r)], style='e')]
+
+            # MV circles
+            for i in range(1, rings):
+                r_i = r + i * dr
+                paths.append(Path([(c * r_i, -s * r_i), (r_i, 0), (c * r_i, s * r_i)],
+                                          style='m' if i % 2 else 'v'))
+
+            # Semicreases
+            top = []
+            bottom = []
+            for i in range(rings + 1):
+                r_i = r + i*dr
+                top.append((r_i*(1 + (i % 2)*(c-1)), -(i % 2)*s*r_i))
+                bottom.append((r_i*(1 + (i % 2)*(c-1)), (i % 2)*s*r_i))
+            paths = paths + [Path([(r, 0), (R, 0)], 's'),                       # straight line 1
+                             Path([(r*c, r*s), (R*c, R*s)], 's', invert=True),  # straight line 2
+                             Path(top, 's'),                                    # top half of semicrease pattern
+                             Path(bottom, 's')]                                # bottom half of semicrease pattern
+
+            all_paths = [paths]
+            for i in range(1, sides):
+                all_paths.append(Path.list_rotate(all_paths[0], i*2*dtheta))
+
+            self.path_tree = all_paths
+
+# Main function, creates an instance of the Class and calls inkex.affect() to draw the origami on inkscape
+if __name__ == '__main__':
+    PleatCircular().run()

extensions/OrigamiPatterns/Template.py

@@ -0,0 +1,97 @@
+#! /usr/bin/env python3
+
+import numpy as np
+from math import pi
+import inkex
+from Path import Path
+from Pattern import Pattern
+
+# Select name of class, inherits from Pattern
+# TODO:
+# 1) Implement __init__ method to get all custom options and then call Pattern's __init__
+# 2) Implement generate_path_tree to define all of the desired strokes
+
+class Template(Pattern):
+    def __init__(self):
+        Pattern.__init__(self)
+        self.add_argument('-p', '--pattern', default="template1", help="Origami pattern")
+        self.add_argument('--length', type=float, default=10.0, help="Length of grid square")
+        self.add_argument('--theta', type=int, default=0, help="Rotation angle (degree)")
+
+    def generate_path_tree(self):
+        """ Specialized path generation for your origami pattern
+        """
+        # retrieve conversion factor for selected unit
+        unit_factor = self.calc_unit_factor()
+
+        # retrieve saved parameters, and apply unit factor where needed
+        length = self.options.length * unit_factor
+        vertex_radius = self.options.vertex_radius * unit_factor
+        pattern = self.options.pattern
+        theta = self.options.theta * pi / 180
+
+        # create all Path instances defining strokes
+        # first define its points as a list of tuples...
+        mountain_h_stroke_points = [(length / 2, 0),
+                                    (length / 2, length)]
+        mountain_v_stroke_points = [(0, length / 2),
+                                    (length, length / 2)]
+
+        # ... and then create the Path instances, defining its type ('m' for mountain, etc...)
+        mountains = [Path(mountain_h_stroke_points, 'm' if pattern == 'template1' else 'v'),
+                     Path(mountain_v_stroke_points, 'm' if pattern == 'template1' else 'v')]
+
+        # doing the same for valleys
+        valley_1st_stroke_points = [(0, 0),
+                                    (length, length)]
+        valley_2nd_stroke_points = [(0, length),
+                                    (length, 0)]
+        valleys = [Path(valley_1st_stroke_points, 'v' if pattern == 'template1' else 'm'),
+                   Path(valley_2nd_stroke_points, 'v' if pattern == 'template1' else 'm')]
+
+
+
+        vertices = []
+        for i in range(3):
+            for j in range(3):
+                vertices.append(Path(((i/2.) * length, (j/2.) * length), style='p', radius=vertex_radius))
+
+        # multiplication is implemented as a rotation, and list_rotate implements rotation for list of Path instances
+        vertices = Path.list_rotate(vertices, theta, (1 * length, 1 * length))
+        mountains = Path.list_rotate(mountains, theta, (1 * length, 1 * length))
+        valleys = Path.list_rotate(valleys, theta, (1 * length, 1 * length))
+
+        # if Path constructor is called with more than two points, a single stroke connecting all of then will be
+        # created. Using method generate_separated_paths, you can instead return a list of separated strokes
+        # linking each two points
+        # create a list for edge strokes
+        edge_points = [(0 * length, 0 * length),  # top left
+                       (1 * length, 0 * length),  # top right
+                       (1 * length, 1 * length),  # bottom right
+                       (0 * length, 1 * length)]  # bottom left
+
+        # create path from points to be able to use the already built rotate method
+        edges = Path(edge_points, 'e', closed=True)
+        edges = Path.list_rotate(edges, theta, (1 * length, 1 * length))
+
+        # division is implemented as a reflection, and list_reflect implements it for a list of Path instances
+        # here's a commented example:
+        # line_reflect = (0 * length, 2 * length, 1 * length, 1 * length)
+        # mountains = Path.list_reflect(mountains, line_reflect)
+        # valleys = Path.list_reflect(valleys, line_reflect)
+        # edges = Path.list_reflect(edges, line_reflect)
+
+        # IMPORTANT: at the end, save edge points as "self.edge_points", to simplify selection of single or multiple
+        # strokes for the edge
+        self.edge_points = edges.points
+
+        # IMPORTANT: the attribute "path_tree" must be created at the end, saving all strokes
+        self.path_tree = [mountains, valleys, vertices]
+        # if you decide not to declare "self.edge_points", then the edge must be explicitly created in the path_tree:
+        # self.path_tree = [mountains, valleys, vertices, edges]
+
+
+# Main function, creates an instance of the Class and calls self.draw() to draw the origami on inkscape
+# self.draw() is either a call to inkex.affect() or to svg.run(), depending on python version
+if __name__ == '__main__':
+    Template().run()

extensions/OrigamiPatterns/Waterbomb.py

@@ -0,0 +1,103 @@
+#! /usr/bin/env python3
+
+import math
+import numpy as np
+import inkex
+from Path import Path
+from Pattern import Pattern
+
+# TODO:
+# Add fractional column number option
+
+class Waterbomb(Pattern): 
+    def __init__(self):
+        Pattern.__init__(self)
+        self.add_argument("-p", "--pattern", default="waterbomb", help="Origami pattern")
+        self.add_argument("--pattern_first_line", default="waterbomb", help="Origami pattern")
+        self.add_argument("--pattern_last_line", default="waterbomb", help="Origami pattern")
+        self.add_argument("--lines", type=int, default=8, help="Number of lines")
+        self.add_argument("--columns", type=int, default=16, help="Number of columns")
+        self.add_argument("--length", type=float, default=10.0, help="Length of grid square")
+        self.add_argument('--phase_shift', type=inkex.Boolean, default=True, help='Shift phase of tesselation.')
+    
+    def generate_path_tree(self):
+        """ Specialized path generation for Waterbomb tesselation pattern
+        """
+        unit_factor = self.calc_unit_factor()
+        length = self.options.length * unit_factor
+        vertex_radius = self.options.vertex_radius * unit_factor
+        cols = self.options.columns
+        lines = self.options.lines
+        phase_shift = self.options.phase_shift
+        pattern_first_line = self.options.pattern_first_line
+        pattern_last_line = self.options.pattern_last_line
+
+        # create vertices
+        vertex_line_types = [[Path(((i / 2.) * length, 0), style='p', radius=vertex_radius) for i in range(2*cols + 1)],
+                             [Path((i * length, 0), style='p', radius=vertex_radius) for i in range(cols + 1)],
+                             [Path(((i + 0.5) * length, 0), style='p', radius=vertex_radius) for i in range(cols)]]
+
+        vertices = []
+        for i in range(2*lines + 1):
+            if i % 2 == 0 or (pattern_first_line == 'magic_ball' and i == 1) or (pattern_last_line == 'magic_ball' and i == 2*lines - 1):
+                type = 0
+            elif(i/2 + phase_shift) % 2 == 0:
+                type = 1
+            else:
+                type = 2
+            vertices = vertices + Path.list_add(vertex_line_types[type], (0, 0.5*i*length))
+
+        # create a list for the horizontal creases and another for the vertical creases
+        # alternate strokes to minimize laser cutter path
+        corr_fist_line = length/2 if pattern_first_line == 'magic_ball' else 0
+        corr_last_line = length/2 if pattern_last_line == 'magic_ball' else 0
+        grid = [Path.generate_hgrid([0, length*cols],    [0,      length*lines],  lines, 'm'),
+                Path.generate_vgrid([0, length*cols], [corr_fist_line, length*lines-corr_last_line], 2*cols, 'm')]
+
+        vgrid_a = Path.generate_vgrid([0, length * cols], [0, length / 2], 2 * cols, 'v')
+        vgrid_b = Path.list_add(vgrid_a, (0, (lines - 0.5) * length))
+        if pattern_first_line == 'magic_ball' and pattern_last_line == 'magic_ball':
+            grid[1] = [[vgrid_a[i], grid[1][i], vgrid_b[i]] if i % 2 == 0 else
+                       [vgrid_b[i], grid[1][i], vgrid_a[i]] for i in range(len(grid[1]))]
+        elif pattern_first_line == 'magic_ball':
+            grid[1] = [[vgrid_a[i], grid[1][i]] if i % 2 == 0 else
+                       [grid[1][i], vgrid_a[i]] for i in range(len(grid[1]))]
+        elif pattern_last_line == 'magic_ball':
+            grid[1] = [[grid[1][i], vgrid_b[i]] if i % 2 == 0 else
+                       [vgrid_b[i], grid[1][i]] for i in range(len(grid[1]))]
+
+        # create generic valley Path lines, one pointing up and other pointing down
+        valley_types = [Path([(i * length / 2, (1 - i % 2) * length / 2) for i in range(2 * cols + 1)], 'v'),
+                        Path([(    i*length/2,         (i % 2)*length/2) for i in range(2 * cols + 1)], 'v')]
+
+        # define which lines must be of which type, according to parity and options
+        senses = np.array([bool((i % 2+i)/2 % 2) for i in range(2*lines)])
+        senses = 1*senses # converts bool array to 0's and 1's
+        if phase_shift:
+            senses = np.invert(senses)
+        if pattern_first_line == "magic_ball":
+            senses[0] = ~senses[0]
+        if pattern_last_line == "magic_ball":
+            senses[-1] = ~senses[-1]
+        valleys = [valley_types[senses[i]] + (0, i * length / 2) for i in range(2*lines)]
+
+        # convert first and last lines to mountains if magic_ball
+        if pattern_first_line == "magic_ball":
+            valleys[0].style = 'm'
+        if pattern_last_line == "magic_ball":
+            valleys[-1].style = 'm'
+
+        # invert every two lines to minimize laser cutter movements
+        for i in range(1, 2*lines, 2):
+            valleys[i].invert()
+
+        self.edge_points = [(0*length*cols, 0*length*lines),   # top left
+                       (1*length*cols, 0*length*lines),   # top right
+                       (1*length*cols, 1*length*lines),   # bottom right
+                       (0*length*cols, 1*length*lines)]  # bottom left
+        
+        self.path_tree = [grid, valleys, vertices]
+
+
+if __name__ == '__main__':
+    Waterbomb().run()

extensions/fablabchemnitz_origami_patterns_kresling.inx

@@ -0,0 +1,92 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
+	<_name>Origami Pattern - Kresling tower</_name>
+	<id>fablabchemnitz.de.origami_patterns.kresling_full</id>
+	<param name='active-tab' type="notebook">
+		<page name="title" _gui-text="Options">
+			<param name="pattern" type="optiongroup" _gui-text="Type of Kresling tower" >
+				<_option value="regular">Regular</_option>
+				<_option value="mirrowed">Mirror odd cells</_option>
+			</param>
+			<_param name="help"   type="description" xml:space="preserve">------------------------------------------------------------</_param>
+			<param name="lines" type="int"  min="1" max="100" _gui-text="Number of cells">3</param>
+			<param name="sides" type="int" min="3" max="100" _gui-text="Number of polygon sides">6</param>
+            <_param name="help"   type="description" xml:space="preserve">------------------------------------------------------------</_param>
+            <param name="measure_value" type="float" max="10000"  precision="3" _gui-text="Measure value:">10.0</param>
+            <param name="measure_type" type="optiongroup" appearance="minimal" _gui-text="Measure type:">
+				<option value="a">Polygon side (a)</option>
+                <option value="b">Vertical mountain crease (b)</option>
+                <option value="l">Diagonal valley crease (l)</option>
+				<option value="radius_external">External radius</option>
+				<option value="radius_internal">Internal radius (totally closed)</option>
+				<option value="diameter_external">External diameter</option>
+				<option value="diameter_internal">Internal diameter (totally closed)</option>
+<!--
+				<option value="a_l_angle">Angle between valley crease and horizontal polygon side</option>
+-->
+                </param>
+			<param name="units" type="optiongroup" appearance="minimal" _gui-text="">
+				<option value="mm">mm</option>
+				<option value="cm">cm</option>
+				<option value="in">in</option>
+				<option value="pt">pt</option>
+				<option value="px">px</option></param>
+			<_param name="help"   type="description" xml:space="preserve">------------------------------------------------------------</_param>
+            <param name="parameter_type" type="optiongroup" appearance="full" _gui-text="Parameter type:">
+				<option value="angle_ratio">Angle ratio (lambda)</option>
+				<option value="radial_ratio">Radial ratio</option>
+				<option value="lambdatheta">Angle between a and l (lambda * theta)</option></param>
+			<param name="radial_ratio" type="float" min="0" max="0.7"  precision="3" _gui-text="Radial ratio:">0.5</param>
+			<param name="angle_ratio" type="float" min="0.5" max="1"  precision="3" _gui-text="Angle ratio:">0.5</param>
+			<param name="lambdatheta" type="float" min="15" max="90"  precision="2" _gui-text="Angle between a and l">60.0</param>
+<!--				<option value="angle">Angle between l and a</option>-->
+		</page>
+		<page name="extra_options" _gui-text="Extra Options">
+			<param name="add_attachment" type="boolean" _gui-text="Add one more facet to close tower?">false</param>
+			<param name="attachment_percentage" type="float" min="0" max="100" precision="1" appearance="full" _gui-text="Length percentage of extra facet">100</param>
+			<_param name="help"   type="description" xml:space="preserve">------------------------------------------------------------</_param>
+		</page>
+		<page name="mountains" _gui-text="Mountain creases">
+			<param name="mountain_bool" type="boolean" _gui-text="Draw mountains?">true</param>
+			<param name="mountain_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="mountain_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Mountain dash + gap length">1</param>
+			<param name="mountain_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Mountain dash duty cycle">0.5</param>
+			<param name="mountain_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of mountain strokes">0.1</param>
+			<param name="mountain_stroke_color" type="color" gui-text="Mountain creases color: ">4278190335</param>
+		</page>
+		<page name="valleys" _gui-text="Valley creases">
+			<param name="valley_bool" type="boolean" _gui-text="Draw valley?">true</param>
+			<param name="valley_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="valley_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Valley dash + gap length">1</param>
+			<param name="valley_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Valley dash duty cycle">0.25</param>
+			<param name="valley_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of valley strokes">0.1</param>
+			<param name="valley_stroke_color" type="color" gui-text="Valley creases color: ">65535</param>
+		</page>
+		<page name="edge" _gui-text="Edge">
+			<param name="edge_bool" type="boolean" _gui-text="Draw edges?">true</param>
+			<param name="edge_single_path" type="boolean" _gui-text="Edges as single path?">true</param>
+			<param name="edge_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>
+			<param name="edge_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Edge dash + gap length">1</param>
+			<param name="edge_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Edge dash duty cycle">0.25</param>
+			<param name="edge_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of edge strokes">0.1</param>
+			<param name="edge_stroke_color" type="color" gui-text="Edge color: ">255</param>
+		</page>
+		<page name="vertices" _gui-text="Vertices">
+			<param name="vertex_bool" type="boolean" _gui-text="Draw vertices?">false</param>
+			<param name="vertex_radius" type="float" min="0.01" max="50" appearance="full"  _gui-text="Radius of vertices">0.1</param>
+			<param name="vertex_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of vertex strokes">0.1</param>
+			<param name="vertex_stroke_color" type="color" gui-text="Vertices\' color: ">255</param>
+		</page>
+	</param>
+	<effect>
+	<object-type>all</object-type>
+		<effects-menu>
+			<submenu _name="FabLab Chemnitz">
+				<submenu _name="Paper/Cardboard Boxes"/>
+			</submenu>
+		</effects-menu>
+	</effect>
+	<script>
+		<command reldir="extensions" interpreter="python">OrigamiPatterns/Kresling_full.py</command>
+	</script>
+</inkscape-extension>

extensions/fablabchemnitz_origami_patterns_pleat_circular.inx

@@ -0,0 +1,67 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
+	<_name>Origami Pattern - Circular</_name>
+	<id>fablabchemnitz.de.origami_patterns.pleat_circular</id>
+	<param name='active-tab' type="notebook">
+		<page name="title" _gui-text="Options">
+			<param name="radius" type="float" max="10000" precision="3" _gui-text="Radius of circle">55.0</param>
+			<param name="units" type="optiongroup" appearance="minimal" _gui-text="">
+				<option value="mm">mm</option>
+				<option value="cm">cm</option>
+				<option value="in">in</option>
+				<option value="pt">pt</option>
+				<option value="px">px</option></param>
+			<param name="ratio" type="float" min="0" max="1" precision="3" _gui-text="Opening ratio">0.4</param>
+			<param name="rings" type="int" min="3" max="100" _gui-text="Number of rings">15</param>
+			<_param name="help"   type="description" xml:space="preserve">------------------------------</_param>
+			<param name="simulation_mode" type="boolean" _gui-text="Simulation mode">true</param>
+			<_param name="help"   type="description" xml:space="preserve">To simulate with OrigamiSimulator, semicreases (or facet creases) must be added to properly simulate paper, and the circles must be approximated as polygons.</_param>
+			<param name="sides" type="int" min="10" max="100" _gui-text="Number of sides for polygon approximating half circle">20</param>
+		</page>
+				<page name="mountains" _gui-text="Mountain creases">
+			<param name="mountain_bool" type="boolean" _gui-text="Draw mountains?">true</param>
+			<param name="mountain_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="mountain_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Mountain dash + gap length">1</param>
+			<param name="mountain_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Mountain dash duty cycle">0.5</param>
+			<param name="mountain_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of mountain strokes">0.1</param>
+			<param name="mountain_stroke_color" type="color" gui-text="Mountain creases color: ">4278190335</param>
+		</page>
+		<page name="valleys" _gui-text="Valley creases">
+			<param name="valley_bool" type="boolean" _gui-text="Draw valley?">true</param>
+			<param name="valley_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="valley_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Valley dash + gap length">1</param>
+			<param name="valley_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Valley dash duty cycle">0.25</param>
+			<param name="valley_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of valley strokes">0.1</param>
+			<param name="valley_stroke_color" type="color" gui-text="Valley creases color: ">65535</param>
+		</page>
+		<page name="edge" _gui-text="Edge">
+			<param name="edge_bool" type="boolean" _gui-text="Draw edges?">true</param>
+			<param name="edge_single_path" type="boolean" _gui-text="Edges as single path?">true</param>
+			<param name="edge_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>
+			<param name="edge_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Edge dash + gap length">1</param>
+			<param name="edge_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Edge dash duty cycle">0.25</param>
+			<param name="edge_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of edge strokes">0.1</param>
+			<param name="edge_stroke_color" type="color" gui-text="Edge color: ">255</param>
+		</page>
+		<page name="semicrease" _gui-text="Semicreases">
+			<param name="semicrease_bool" type="boolean" _gui-text="Draw semicreases?">true</param>
+			<param name="semicrease_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>
+			<param name="semicrease_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Semicrease dash + gap length">1</param>
+			<param name="semicrease_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Semicrease dash duty cycle">0.25</param>
+			<param name="semicrease_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of semicrease strokes">0.1</param>
+			<param name="semicrease_stroke_color" type="color" gui-text="Semicreases color: ">4294902015</param>
+		</page>
+
+	</param>
+	<effect>
+	<object-type>all</object-type>
+		<effects-menu>
+			<submenu _name="FabLab Chemnitz">
+				<submenu _name="Paper/Cardboard Boxes"/>
+			</submenu>
+		</effects-menu>
+	</effect>
+	<script>
+		<command reldir="extensions" interpreter="python">OrigamiPatterns/Pleat_Circular.py</command>
+	</script>
+</inkscape-extension>

extensions/fablabchemnitz_origami_patterns_pleat_hypar.inx

@@ -0,0 +1,78 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
+	<_name>Origami Pattern - N-sided Hypar</_name>
+	<id>fablabchemnitz.de.origami_patterns.pleat_hypar</id>
+	<param name='active-tab' type="notebook">
+		<page name="title" _gui-text="Options">
+			<param name="pattern" type="optiongroup" _gui-text="Type of Hypar" >
+				<_option value="classic">Classic Hypar</_option>
+				<_option value="asymmetric">Asymmetric triangulation</_option>
+				<_option value="alternate_asymmetric">Alternating asymmetric triangulation</_option>
+			</param>
+			<param name="radius" type="float" max="10000" precision="3" _gui-text="Radius of polygon">100.0</param>
+			<param name="units" type="optiongroup" appearance="minimal" _gui-text="">
+				<option value="mm">mm</option>
+				<option value="cm">cm</option>
+				<option value="in">in</option>
+				<option value="pt">pt</option>
+				<option value="px">px</option></param>
+			<param name="sides" type="int" min="3" max="100" _gui-text="Number of polygon sides">4</param>
+			<param name="rings" type="int" min="1" max="100" _gui-text="Number of rings">7</param>
+			<param name="simplify_center" type="boolean" _gui-text="Simplify center (probably not suited for odd number of sides)">false</param>
+			<_param name="help"   type="description" xml:space="preserve">Implements Hypar (classical hyperbolic paraboloid approximate).&#xA;&#xA;Classic Hypar is the easiest one to fold. However, it's not rigid foldable. More information in:&#xA;Demaine, E. D., Demaine, M. L., Hart, V., Price, G. N., & Tachi, T. (2011). (Non)Existence of Pleated Folds: How Paper Folds Between Creases. Graphs and Combinatorics, 27(3), 377–397. https://doi.org/10.1007/s00373-011-1025-2</_param>
+
+		</page>
+				<page name="mountains" _gui-text="Mountain creases">
+			<param name="mountain_bool" type="boolean" _gui-text="Draw mountains?">true</param>
+			<param name="mountain_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="mountain_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Mountain dash + gap length">1</param>
+			<param name="mountain_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Mountain dash duty cycle">0.5</param>
+			<param name="mountain_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of mountain strokes">0.1</param>
+			<param name="mountain_stroke_color" type="color" gui-text="Mountain creases color: ">4278190335</param>
+		</page>
+		<page name="valleys" _gui-text="Valley creases">
+			<param name="valley_bool" type="boolean" _gui-text="Draw valley?">true</param>
+			<param name="valley_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="valley_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Valley dash + gap length">1</param>
+			<param name="valley_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Valley dash duty cycle">0.25</param>
+			<param name="valley_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of valley strokes">0.1</param>
+			<param name="valley_stroke_color" type="color" gui-text="Valley creases color: ">65535</param>
+		</page>
+		<page name="universal" _gui-text="Universal creases">
+			<param name="universal_bool" type="boolean" _gui-text="Draw universal creases?">true</param>
+			<param name="universal_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>
+			<param name="universal_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Universal dash + gap length">1</param>
+			<param name="universal_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Universal dash duty cycle">0.25</param>
+ 			<param name="universal_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of universal strokes">0.1</param>
+			<param name="universal_stroke_color" type="color" gui-text="Universal creases color: ">4278255615</param>
+		</page>
+		<page name="edge" _gui-text="Edge">
+			<param name="edge_bool" type="boolean" _gui-text="Draw edges?">true</param>
+			<param name="edge_single_path" type="boolean" _gui-text="Edges as single path?">true</param>
+			<param name="edge_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>
+			<param name="edge_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Edge dash + gap length">1</param>
+			<param name="edge_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Edge dash duty cycle">0.25</param>
+			<param name="edge_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of edge strokes">0.1</param>
+			<param name="edge_stroke_color" type="color" gui-text="Edge color: ">255</param>
+		</page>
+		<page name="vertices" _gui-text="Vertices">
+			<param name="vertex_bool" type="boolean" _gui-text="Draw vertices?">false</param>
+			<param name="vertex_radius" type="float" min="0.01" max="50" appearance="full"  _gui-text="Radius of vertices">0.1</param>
+			<param name="vertex_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of vertex strokes">0.1</param>
+			<param name="vertex_stroke_color" type="color" gui-text="Vertices\' color: ">255</param>
+		</page>
+
+	</param>
+	<effect>
+	<object-type>all</object-type>
+		<effects-menu>
+			<submenu _name="FabLab Chemnitz">
+				<submenu _name="Paper/Cardboard Boxes"/>
+			</submenu>
+		</effects-menu>
+	</effect>
+	<script>
+		<command reldir="extensions" interpreter="python">OrigamiPatterns/Hypar.py</command>
+	</script>
+
+</inkscape-extension>

extensions/fablabchemnitz_origami_patterns_template.inx

@@ -0,0 +1,90 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
+	<_name>Origami Pattern - Template effect</_name>
+	<id>fablabchemnitz.de.origami_patterns.template</id>
+	<param name='active-tab' type="notebook">
+		<page name="title" _gui-text="Options">
+			<param name="pattern" type="optiongroup" _gui-text="Type of template" >
+				<_option value="template1">Template pattern 1</_option>
+				<_option value="template2">Template pattern 2</_option>
+			</param>
+			<param name="length" type="float" max="10000" precision="3" _gui-text="Length of grid square">10.0</param>
+			<param name="units" type="optiongroup" appearance="minimal" _gui-text="">
+				<option value="mm">mm</option>
+				<option value="cm">cm</option>
+				<option value="in">in</option>
+				<option value="pt">pt</option>
+				<option value="px">px</option></param>
+			<param name="theta" type="int" min="0" max="360" _gui-text="Rotation angle (degree)">0</param>
+			<_param name="help"   type="description" xml:space="preserve">The .inx file defines the bridge between Inkscape's interface and the python script.</_param>
+
+		</page>
+		<page name="mountains" _gui-text="Mountain creases">
+			<param name="mountain_bool" type="boolean" _gui-text="Draw mountains?">true</param>
+			<param name="mountain_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="mountain_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Mountain dash + gap length">1</param>
+			<param name="mountain_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Mountain dash duty cycle">0.5</param>
+			<param name="mountain_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of mountain strokes">0.1</param>
+			<param name="mountain_stroke_color" type="color" gui-text="Mountain creases color: ">4278190335</param>
+		</page>
+		<page name="valleys" _gui-text="Valley creases">
+			<param name="valley_bool" type="boolean" _gui-text="Draw valley?">true</param>
+			<param name="valley_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="valley_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Valley dash + gap length">1</param>
+			<param name="valley_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Valley dash duty cycle">0.25</param>
+			<param name="valley_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of valley strokes">0.1</param>
+			<param name="valley_stroke_color" type="color" gui-text="Valley creases color: ">65535</param>
+		</page>
+		<page name="edge" _gui-text="Edge">
+			<param name="edge_bool" type="boolean" _gui-text="Draw edges?">true</param>
+			<param name="edge_single_path" type="boolean" _gui-text="Edges as single path?">true</param>
+			<param name="edge_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>
+			<param name="edge_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Edge dash + gap length">1</param>
+			<param name="edge_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Edge dash duty cycle">0.25</param>
+			<param name="edge_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of edge strokes">0.1</param>
+			<param name="edge_stroke_color" type="color" gui-text="Edge color: ">255</param>
+		</page>
+		<page name="vertices" _gui-text="Vertices">
+			<param name="vertex_bool" type="boolean" _gui-text="Draw vertices?">true</param>
+			<param name="vertex_radius" type="float" min="0.01" max="50" appearance="full"  _gui-text="Radius of vertices">0.1</param>
+			<param name="vertex_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of vertex strokes">0.1</param>
+			<param name="vertex_stroke_color" type="color" gui-text="Vertices\' color: ">255</param>
+		</page>
+<!--		UNCOMMENT UNIVERSAL CREASES, CUTS AND/OR SEMICREASES IF NEEDED-->
+<!--		<page name="universal" _gui-text="Universal creases">-->
+<!--			<param name="universal_bool" type="boolean" _gui-text="Draw universal creases?">true</param>-->
+<!--			<param name="universal_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>-->
+<!--			<param name="universal_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Universal dash + gap length">1</param>-->
+<!--			<param name="universal_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Universal dash duty cycle">0.25</param>-->
+<!-- 			<param name="universal_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of universal strokes">0.1</param> -->
+<!--			<param name="universal_stroke_color" type="color" gui-text="Universal creases color: ">4278255615</param>-->
+<!--		</page>-->
+<!--		<page name="semicrease" _gui-text="Semicreases">-->
+<!--			<param name="semicrease_bool" type="boolean" _gui-text="Draw semicreases?">true</param>-->
+<!--			<param name="semicrease_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>-->
+<!--			<param name="semicrease_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Semicrease dash + gap length">1</param>-->
+<!--			<param name="semicrease_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Semicrease dash duty cycle">0.25</param>-->
+<!--			<param name="semicrease_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of semicrease strokes">0.1</param>-->
+<!--			<param name="semicrease_stroke_color" type="color" gui-text="Semicreases color: ">4294902015</param>-->
+<!--		</page>-->
+<!--		<page name="cuts" _gui-text="Cuts">-->
+<!--			<param name="cut_bool" type="boolean" _gui-text="Draw cuts?">true</param>-->
+<!--			<param name="cut_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>-->
+<!--			<param name="cut_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Cut dash + gap length">1</param>-->
+<!--			<param name="cut_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Cut dash duty cycle">0.25</param>-->
+<!--			<param name="cut_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of cut strokes">0.1</param>-->
+<!--			<param name="cut_stroke_color" type="color" gui-text="Cut creases color: ">16711935</param>-->
+<!--		</page>-->
+	</param>
+	<effect>
+	<object-type>all</object-type>
+		<effects-menu>
+			<submenu _name="FabLab Chemnitz">
+				<submenu _name="Paper/Cardboard Boxes"/>
+			</submenu>
+		</effects-menu>
+	</effect>
+	<script>
+		<command reldir="extensions" interpreter="python">OrigamiPatterns/Template.py</command>
+	</script>
+</inkscape-extension>

extensions/fablabchemnitz_origami_patterns_waterbomb.inx

@@ -0,0 +1,73 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
+	<_name>Origami Pattern - Waterbomb</_name>
+	<id>fablabchemnitz.de.origami_patterns.magic_ball</id>
+	<param name='active-tab' type="notebook">
+		<page name="title" _gui-text="Options">
+			<param name="pattern_first_line" type="optiongroup" _gui-text="First line:" >
+				<_option value="waterbomb">Regular waterbomb</_option>
+				<_option value="magic_ball">Magic ball</_option>
+			</param>
+			<param name="pattern_last_line" type="optiongroup" _gui-text="Last line:" >
+				<_option value="waterbomb">Regular waterbomb</_option>
+				<_option value="magic_ball">Magic ball</_option>
+			</param>
+			<param name="phase_shift" type="boolean" _gui-text="Shift phase?">false</param>
+			<_param name="help"   type="description" xml:space="preserve">------------------------------</_param>
+			<param name="lines" type="int"  min="1" max="100" _gui-text="Number of lines">8</param>
+			<param name="columns" type="int" min="1" max="100" _gui-text="Number of columns">16</param>
+			<_param name="help"   type="description" xml:space="preserve">------------------------------</_param>
+			<param name="length" type="float" max="10000" precision="3" _gui-text="Length of grid square">10.0</param>
+			<param name="units" type="optiongroup" appearance="minimal" _gui-text="">
+				<option value="mm">mm</option>
+				<option value="cm">cm</option>
+				<option value="in">in</option>
+				<option value="pt">pt</option>
+				<option value="px">px</option></param>
+			<_param name="help"   type="description" xml:space="preserve">"Waterbomb tessellation" creates a simple tessellation pattern repeating the Waterbomb base, with a half-step phase shift between each line.&#xA;The Magic ball is a different design that inverts both the upper half of the first line and the bottom half of the last line.</_param>
+
+		</page>
+		<page name="mountains" _gui-text="Mountain creases">
+			<param name="mountain_bool" type="boolean" _gui-text="Draw mountains?">true</param>
+			<param name="mountain_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="mountain_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Mountain dash + gap length">1</param>
+			<param name="mountain_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Mountain dash duty cycle">0.5</param>
+			<param name="mountain_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of mountain strokes">0.1</param>
+			<param name="mountain_stroke_color" type="color" gui-text="Mountain creases color: ">4278190335</param>
+		</page>
+		<page name="valleys" _gui-text="Valley creases">
+			<param name="valley_bool" type="boolean" _gui-text="Draw valley?">true</param>
+			<param name="valley_dashes_bool" type="boolean" _gui-text="Dashed strokes?">true</param>
+			<param name="valley_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Valley dash + gap length">1</param>
+			<param name="valley_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Valley dash duty cycle">0.25</param>
+			<param name="valley_stroke_width" type="float" min="0.01" max="3" appearance="full" _gui-text="Width of valley strokes">0.1</param>
+			<param name="valley_stroke_color" type="color" gui-text="Valley creases color: ">65535</param>
+		</page>
+		<page name="edge" _gui-text="Edge">
+			<param name="edge_bool" type="boolean" _gui-text="Draw edges?">true</param>
+			<param name="edge_single_path" type="boolean" _gui-text="Edges as single path?">true</param>
+			<param name="edge_dashes_bool" type="boolean" _gui-text="Dashed strokes?">false</param>
+			<param name="edge_dashes_len" type="float"  min="0.1" max="10" appearance="full" precision="2" _gui-text="Edge dash + gap length">1</param>
+			<param name="edge_dashes_duty" type="float"  min="0.1" max="1" appearance="full" precision="2" _gui-text="Edge dash duty cycle">0.25</param>
+			<param name="edge_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of edge strokes">0.1</param>
+			<param name="edge_stroke_color" type="color" gui-text="Edge color: ">255</param>
+		</page>
+		<page name="vertices" _gui-text="Vertices">
+			<param name="vertex_bool" type="boolean" _gui-text="Draw vertices?">false</param>
+			<param name="vertex_radius" type="float" min="0.01" max="50" appearance="full"  _gui-text="Radius of vertices">0.1</param>
+			<param name="vertex_stroke_width" type="float" min="0.01" max="3" appearance="full"  _gui-text="Width of vertex strokes">0.1</param>
+			<param name="vertex_stroke_color" type="color" gui-text="Vertices\' color: ">255</param>
+		</page>
+	</param>
+	<effect>
+	<object-type>all</object-type>
+		<effects-menu>
+			<submenu _name="FabLab Chemnitz">
+				<submenu _name="Paper/Cardboard Boxes"/>
+			</submenu>
+		</effects-menu>
+	</effect>
+	<script>
+		<command reldir="extensions" interpreter="python">OrigamiPatterns/Waterbomb.py</command>
+	</script>
+</inkscape-extension>