Added "IFS Fractals"
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<?xml version="1.0" encoding="UTF-8"?>
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<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
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<name>IFS Fractals</name>
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<id>fablabchemnitz.de.ifs_fractals</id>
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<param name="tab" type="notebook">
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<page name="Options" gui-text="Options">
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<param name="iter" type="int" min="0" max="100" gui-text="Number of iterations:">3</param>
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<label appearance="header">Transform Matrices</label>
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<param name="tab" type="notebook">
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<page name="0" gui-text="1">
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<param name="xform0" type="bool" gui-text="Enabled:">true</param>
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<param name="A0" type="float" min="-10000" max="10000" precision="3" gui-text="A:">0.5</param>
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<param name="B0" type="float" min="-10000" max="10000" precision="3" gui-text="B:">0</param>
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<param name="C0" type="float" min="-10000" max="10000" precision="3" gui-text="C:">0</param>
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<param name="D0" type="float" min="-10000" max="10000" precision="3" gui-text="D:">0.5</param>
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<param name="E0" type="float" min="-10000" max="10000" precision="3" gui-text="E:">0</param>
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<param name="F0" type="float" min="-10000" max="10000" precision="3" gui-text="F:">0</param>
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</page>
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<page name="1" gui-text="2">
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<param name="xform1" type="bool" gui-text="Enabled:">false</param>
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<param name="A1" type="float" min="-10000" max="10000" precision="3" gui-text="A:">0.5</param>
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<param name="B1" type="float" min="-10000" max="10000" precision="3" gui-text="B:">0</param>
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<param name="C1" type="float" min="-10000" max="10000" precision="3" gui-text="C:">0</param>
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<param name="D1" type="float" min="-10000" max="10000" precision="3" gui-text="D:">0.5</param>
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<param name="E1" type="float" min="-10000" max="10000" precision="3" gui-text="E:">1</param>
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<param name="F1" type="float" min="-10000" max="10000" precision="3" gui-text="F:">0</param>
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</page>
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<page name="2" gui-text="3">
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<param name="xform2" type="bool" gui-text="Enabled:">false</param>
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<param name="A2" type="float" min="-10000" max="10000" precision="3" gui-text="A:">0.5</param>
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<param name="B2" type="float" min="-10000" max="10000" precision="3" gui-text="B:">0</param>
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<param name="C2" type="float" min="-10000" max="10000" precision="3" gui-text="C:">0</param>
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<param name="D2" type="float" min="-10000" max="10000" precision="3" gui-text="D:">0.5</param>
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<param name="E2" type="float" min="-10000" max="10000" precision="3" gui-text="E:">0.5</param>
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<param name="F2" type="float" min="-10000" max="10000" precision="3" gui-text="F:">1</param>
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</page>
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<page name="3" gui-text="4">
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<param name="xform3" type="bool" gui-text="Enabled:">false</param>
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<param name="A3" type="float" min="-10000" max="10000" precision="3" gui-text="A:">0.5</param>
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<param name="B3" type="float" min="-10000" max="10000" precision="3" gui-text="B:">0</param>
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<param name="C3" type="float" min="-10000" max="10000" precision="3" gui-text="C:">0</param>
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<param name="D3" type="float" min="-10000" max="10000" precision="3" gui-text="D:">0.5</param>
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<param name="E3" type="float" min="-10000" max="10000" precision="3" gui-text="E:">0</param>
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<param name="F3" type="float" min="-10000" max="10000" precision="3" gui-text="F:">0</param>
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</page>
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<page name="4" gui-text="5">
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<param name="xform4" type="bool" gui-text="Enabled:">false</param>
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<param name="A4" type="float" min="-10000" max="10000" precision="3" gui-text="A:">0.5</param>
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<param name="B4" type="float" min="-10000" max="10000" precision="3" gui-text="B:">0</param>
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<param name="C4" type="float" min="-10000" max="10000" precision="3" gui-text="C:">0</param>
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<param name="D4" type="float" min="-10000" max="10000" precision="3" gui-text="D:">0.5</param>
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<param name="E4" type="float" min="-10000" max="10000" precision="3" gui-text="E:">0</param>
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<param name="F4" type="float" min="-10000" max="10000" precision="3" gui-text="F:">0</param>
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</page>
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</param>
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</page>
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<page name="Help" gui-text="Help">
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<label>
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This performs an Iterated Function System by repeating one or more duplicate-and-transform operations on the selected objects.
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</label>
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<label>
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The transformations are specified using matrices, in the same form as the transformation dialog, each of which should be contractive (i.e., shrinking).
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</label>
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<label>
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For example, if you set N transforms, it will make N duplicates and transform each in the first iteration, and then N^2 duplicates of those, and so on, for a total of (N^(I+1)-1)/(N-1) duplicates.
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</label>
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</page>
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</param>
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<effect>
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<object-type>all</object-type>
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<effects-menu>
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<submenu name="FabLab Chemnitz">
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<submenu name="Shape/Pattern from Generator"/>
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</submenu>
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</effects-menu>
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</effect>
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<script>
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<command location="inx" interpreter="python">ifs_fractals.py</command>
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</script>
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</inkscape-extension>
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#!/usr/bin/env python3
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# coding=utf-8
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#
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# Copyright (C) 2020 Dylan Simon, dylan@dylex.net
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#
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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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#
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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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#
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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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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#
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"""
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Perform fixed-depth IFS repeated duplicate-and-transform.
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"""
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import inkex
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class IFS(inkex.EffectExtension):
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NXFORM = 5
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XFORM_PARAMS = list("ABCDEF")
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def add_arguments(self, pars):
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pars.add_argument("--tab")
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pars.add_argument("--iter", type=int, default=3, help="number of iterations")
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for i in range(self.NXFORM):
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pars.add_argument("--xform%d"%i, type=inkex.Boolean, default=False, help="enable transformation %d"%i)
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for p in self.XFORM_PARAMS:
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pars.add_argument("--%s%d"%(p,i), type=float, help="transformation matrix %d %s"%(i,p))
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def effect(self):
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xforms = []
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for i in range(self.NXFORM):
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if getattr(self.options,'xform%d'%i):
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t = [getattr(self.options,"%s%d"%(p,i)) for p in self.XFORM_PARAMS]
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xforms.append(inkex.Transform(t))
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if not xforms:
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inkex.errormsg(_('There are no transforms to apply'))
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return False
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if not self.svg.selected:
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inkex.errormsg(_('There is no selection to duplicate'))
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return False
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nodes = self.svg.selected.values()
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grp = inkex.Group('IFS')
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layer = self.svg.get_current_layer().add(grp)
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for i in range(self.options.iter):
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n = []
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for node in nodes:
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for x in xforms:
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d = node.copy()
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d.transform = x * d.transform
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n.append(d)
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g = inkex.Group('IFS iter %d'%i)
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g.add(*n)
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grp.add(g)
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nodes = n
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return True
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if __name__ == '__main__':
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IFS().run()
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