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#!/usr/bin/env python3
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'''
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Copyright (C) 2010 Jonathan Manton (jmanton @ illinois.edu)
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Copyright (C) 2007 Aaron Spike (aaron @ ekips.org)
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Copyright (C) 2007 Tavmjong Bah (tavmjong @ free.fr)
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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'''
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# this program is loosely based on the gear extension for inkscape
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import inkex
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from polyhedrondata import angleOverride, polyhedronData
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from math import *
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from lxml import etree
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def points_to_svgd(p):
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f = p[0]
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p = p[1:]
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svgd = 'M%.3f,%.3f' % f
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for x in p:
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svgd += 'L%.3f,%.3f' % x
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return svgd
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class Polyhedra(inkex.EffectExtension):
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def add_arguments(self, pars):
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pars.add_argument("-p", "--poly", default="Cube", help="Polygon net to render")
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pars.add_argument("-s", "--size", type=float, default=100.0, help="Size of first edge")
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pars.add_argument("-u", "--unit", default="mm", help="Units")
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pars.add_argument("-m", "--material_thickness", type=float, default=1.0, help="Material thickness")
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pars.add_argument("-t", "--tabs", type=int, default=0, help="Tab style")
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def get_tab(self, limitAngle):
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return(self.get_connector('tab', limitAngle))
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def get_slot(self, limitAngle):
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return(self.get_connector('slot', limitAngle))
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def get_slot_tab_style(self):
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# these are designed to be 100px wide - they have to be scaled
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no_tab = { 'cut' : ['m 0,0 100,0'], 'perf' : []}
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notab = {0 : no_tab}
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simpletab = {0: {'cut': ['m 0,0 20,19 60,0 l 20,-19'], 'perf' : ['m 0,0 100,0']}}
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# tab array - 0 = slot/tab, 1 = two tabs, 2 = single tab (alternate tab and nothing), 3 = none
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mt = self.options.material_thickness
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tabStyle = [{ \
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50 : {'cut': ['m 0,0 35,0 0,{} -6,0 c 0,0 1,8 6,12 8,6 22,6 30,0 5,-4 6,-12 6,-12 l -6,0 0,{} 35,0'.format(mt,-mt)], 'perf' : ['M 42,0 58,0']}, \
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24 : {'cut': ['m 0,0 55,0 0,{} -6,0 c 0,0 1,3 6,6 8,3 19,6 27,8 5,-4 9,-14 9,-14 l -6,0 0,{} 15,0'.format(mt,-mt)], 'perf' : ['M 62,0 78,0']}, \
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18 : {'cut': ['m 0,0 65,0 0,{} -6,0 c 0,0 1,3 6,6 8,2 11,2 19,3 5,-4 9,-10 7,-9 l -6,0 0,{} 15,0'.format(mt,-mt)], 'perf' : ['m 72,0 6,0']}, \
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6 : {'cut': ['m 0,0 70,0 {},7 10,1 5,-6 -2,0 0,{} 15,0'.format(mt,-mt)], 'perf' : ['m 74,0 7,0']},
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0 : {'cut': ['m 0,0 100,0'], 'perf' : []}}, simpletab, simpletab, notab]
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slotStyle = [{\
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50 : {'cut': ['m 0,0 20,19 60,0 l 20,-19', 'm 28,{} 4,{} 36,0 4,{}'.format(-mt, mt, -(mt))], 'perf' : ['M 0,0 28,0','M 100,0 72,0']}, \
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24 : {'cut': ['M 100,0 90,18 30,11 20,0 0,0', 'm 92,{} -4,{} -36,0 -4,{}'.format(-mt, mt, -(mt))], 'perf' : ['M 100,0 92,0', 'M 20,0 48,0']}, \
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18 : {'cut': ['M 100,0 90,16 40,9 35,0 0,0', 'm 92,{} -4,{} -26,0 -4,{}'.format(-mt, mt, -(mt))], 'perf' : ['M 100,0 92,0', 'M 35,0 58,0']}, \
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6 : {'cut': ['M 100,0 98,10 88,9 84,2 86,2 86,0 0,0'], 'perf' : ['m 96,0 -6,0']},
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0 : {'cut': ['m 0,0 100,0'], 'perf' : [] }}, simpletab, notab, notab]
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return [tabStyle, slotStyle]
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def get_connector(self, type, limitAngle):
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if(self.options.tabs == 1): # two tabs
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return(self.gen_tab(limitAngle/2))
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if(self.options.tabs == 2): # one tab
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if(type == 'tab'):
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return(self.gen_tab(limitAngle))
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else:
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return(no_tab)
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if(self.options.tabs == 3): # no tabs or slots
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return(no_tab)
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# otherwise, get stuff from the array of specially modified tab/slots
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if(type == 'tab'):
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source = self.get_slot_tab_style()[0]
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else:
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source = self.get_slot_tab_style()[1]
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cuttable = source[self.options.tabs].keys()
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sorted(cuttable) # sorts in-place. Ugh.
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reversed(cuttable) # in-place. Ugh.
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for angle in cuttable:
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if(limitAngle >= angle):
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return(source[self.options.tabs][angle])
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def gen_tab(self, theta_degrees):
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theta = radians(min(theta_degrees,90))
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minOffset = 8
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tabAngle = radians(40)
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minTabLength = 40
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tabHeight = 19 # must be >= minOffset
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tabWidth = 100
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# determine if we need to sqash down side of tab by limit angle
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bX = minOffset * cos(theta) / sin(theta)
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aX = bX - (minOffset * cos(tabAngle) / sin(tabAngle))
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if(theta >= tabAngle):
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tab_cut = [(0,0), (tabHeight/sin(tabAngle) * cos(tabAngle), tabHeight)]
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tab_perf = [(0,0), (tabWidth,0)]
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else:
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if (aX > (tabWidth - minTabLength)): # too stubby, don't put a tab
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return(no_tab)
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tab_cut = [(0,0), (aX,0), (bX, minOffset)]
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tab_perf = [(aX,0), (tabWidth,0)]
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# now see if we also have to squash the other side of the tab - this happens
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# for very small angles where the tab height on the far side would still be
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# too high and would intersect with the other tab
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# first, find where the tab would intersect the limit angle if we just put
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# out a line of infinite length at the tab angle.
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bmult = tabWidth / (cos(theta) * sin(tabAngle) / sin(theta) + cos(tabAngle))
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tiY = bmult * sin(tabAngle)
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# now see if that intersection is too low. If so, limit the tab's height
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tiY = min(tiY, tabHeight)
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tab_cut.append((tabWidth - tiY / sin(tabAngle) * cos(tabAngle), tiY))
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tab_cut.append((tabWidth, 0))
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return({'cut' : [points_to_svgd(tab_cut)], 'perf' : [points_to_svgd(tab_perf)]})
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def effect(self):
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poly = self.options.poly
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size = self.svg.unittouu(str(self.options.size) + self.options.unit)
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eC = polyhedronData[poly]['edgeCoordinates']
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iEI = polyhedronData[poly]['insideEdgeIndices']
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oEI = polyhedronData[poly]['outsideEdgeIndices']
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oED = polyhedronData[poly]['outsideEdgeDegrees']
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sidelen = sqrt((eC[oEI[0][0]-1][0] - eC[oEI[0][1]-1][0])**2 + (eC[oEI[0][0]-1][1] - eC[oEI[0][1]-1][1])**2)
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scale = size / sidelen
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# Translate group, Rotate path.
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t = 'translate(' + str( self.svg.namedview.center[0] ) + ',' + str( self.svg.namedview.center[1] ) + ')'
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g_attribs = {inkex.addNS('label','inkscape'):'Polygon ' + str( poly ), 'transform':t }
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g = etree.SubElement(self.svg.get_current_layer(), 'g', g_attribs)
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gsub_attribs = {inkex.addNS('label','inkscape'):'Polygon ' + str( poly ) + 'border' }
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gsub = etree.SubElement(g, 'g', gsub_attribs)
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# Create SVG Path
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cutStyle = { 'stroke': '#0000FF', 'stroke-width': self.svg.unittouu("1px"), 'fill': 'none' }
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perfStyle = { 'stroke': '#FF0000', 'stroke-width': self.svg.unittouu("1px"), 'fill': 'none' }
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textStyle = {
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'font-size': str( size/4 ),
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'font-family': 'arial',
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'text-anchor': 'middle',
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'text-align': 'center',
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'fill': '#222'
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}
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numOEI = len(oEI)
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for edgeIndex in range(numOEI):
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eX1 = eC[oEI[edgeIndex][0]-1][0]
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eY1 = eC[oEI[edgeIndex][0]-1][1]
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eX2 = eC[oEI[edgeIndex][1]-1][0]
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eY2 = eC[oEI[edgeIndex][1]-1][1]
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origin = (eX1 * scale, eY1 * scale)
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edgelen = sqrt((eX1 - eX2)**2 + (eY1 - eY2)**2)
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edgesize = size * (edgelen / sidelen)
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prevAngle = (oED[(edgeIndex - 1) % numOEI] + 180 - oED[edgeIndex]) % 360
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nextAngle = (oED[edgeIndex] + 180 - oED[(edgeIndex + 1) % numOEI]) % 360
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if str(angleOverride) in poly:
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if angleOverride[poly].has_key('prev'):
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if angleOverride[poly]['prev'].has_key(edgeIndex):
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prevAngle = angleOverride[poly]['prev'][edgeIndex]
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if angleOverride[poly].has_key('next'):
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if angleOverride[poly]['next'].has_key(edgeIndex):
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nextAngle = angleOverride[poly]['next'][edgeIndex]
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trans = 'translate(' + str(origin[0]) + ',' + str(origin[1]) + ') rotate(' + str(oED[edgeIndex] ) + ') scale(' + str(edgesize/100.0) + ')'
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limitAngle = min(prevAngle, nextAngle)
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tab = self.get_tab(limitAngle)
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slot = self.get_slot(limitAngle)
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# the "special" tabs are all skewed one way or the other, to
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# make room for tight turns. This determines if it is the previous
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# or next angle that is the tight one, and flips the tab or slot if
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# needed.
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if(nextAngle == limitAngle):
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trans += ' translate(100.0, 0) scale(-1,1)'
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tab_group_attribs = {inkex.addNS('label','inkscape'):'tab', 'transform': trans }
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tab_group = etree.SubElement(gsub, 'g', tab_group_attribs)
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midX = (eX2 - eX1)/2 + eX1
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midY = (eY2 - eY1)/2 + eY1
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text_attrib = {'style': str(inkex.Style(textStyle)), 'x' : str(midX * scale), 'y' : str(midY * scale) }
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# etree.SubElement(gsub, 'text', text_attrib).text = str(edgeIndex)
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if ((edgeIndex % 2) == 0):
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edgetype = tab
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else:
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edgetype = slot
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for path in edgetype['cut']:
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gear_attribs = {'style':str(inkex.Style(cutStyle)), 'd':path}
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gear = etree.SubElement(tab_group, inkex.addNS('path','svg'), gear_attribs )
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for path in edgetype['perf']:
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gear_attribs = {'style':str(inkex.Style(perfStyle)), 'd':path}
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gear = etree.SubElement(tab_group, inkex.addNS('path','svg'), gear_attribs )
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gsub_attribs = {inkex.addNS('label','inkscape'):'Polygon ' + str( poly ) + 'inside' }
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gsub = etree.SubElement(g, 'g', gsub_attribs)
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for edge in iEI:
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points = [(eC[edge[0]-1][0] * scale, eC[edge[0]-1][1] * scale), (eC[edge[1]-1][0] * scale, eC[edge[1]-1][1] * scale)]
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path = points_to_svgd( points )
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perf_attribs = {'style':str(inkex.Style(perfStyle)), 'd':path}
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gear = etree.SubElement(gsub, inkex.addNS('path','svg'), perf_attribs )
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if __name__ == '__main__':
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Polyhedra().run()
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