#!/usr/bin/env python3 # # Draw an SVG hexaflexagon which can be edited live in Inkscape. # # Copyright (C) 2018 Antonio Ospite # # This program is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 3 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . import svgwrite from diagram.svgwrite_diagram import SvgwriteDiagram from flexagon.hexaflexagon_diagram import HexaflexagonDiagram class SvgwriteHexaflexagonDiagram(HexaflexagonDiagram): def __init__(self, *args, **kwargs): super(SvgwriteHexaflexagonDiagram, self).__init__(*args, **kwargs) svg = self.backend.svg # create some layers and groups layers = { "Hexagons": svg.layer(label="Hexagons"), "Hexaflexagon": svg.layer(label="Hexaflexagon"), "Folding guide": svg.layer(label="Folding guide"), "Template": svg.layer(label="Template") } for layer in layers.values(): svg.add(layer) self.groups = layers for hexagon in self.hexaflexagon.hexagons: name = "hexagon%d-content" % hexagon.index layer = svg.layer(id=name, label="Hexagon %d" % (hexagon.index + 1)) self.groups[name] = layer layers['Hexagons'].add(layer) for triangle in hexagon.triangles: name = "hexagon%d-triangle%d" % (hexagon.index, triangle.index) group = svg.g(id=name) self.groups[name] = group layers['Template'].add(group) def draw(self): for hexagon in self.hexaflexagon.hexagons: cx, cy = self.get_hexagon_center(hexagon) # Draw some default content old_active_group = self.backend.active_group self.backend.active_group = self.groups["hexagon%d-content" % hexagon.index] self.backend.draw_regular_polygon(cx, cy, 6, self.hexagon_radius, fill_color=(0.5, 0.5, 0.5, 0.2), stroke_color=None) self.backend.active_group = old_active_group # Add folding guides old_active_group = self.backend.active_group self.backend.active_group = self.groups["Folding guide"] for triangle in hexagon.triangles: cx, cy = self.get_triangle_center(triangle) theta = triangle.get_angle_in_hexagon() self.backend.draw_regular_polygon(cx, cy, 3, self.triangle_radius, theta, (0, 0, 0, 0.2)) polygon = self.backend.active_group.elements[-1] polygon['id'] = "hexagon%d-triangle%d-folding" % (triangle.hexagon.index, triangle.index) self.backend.active_group = old_active_group # Draw the normal template for hexagons for hexagon in self.hexaflexagon.hexagons: self.draw_hexagon_template(hexagon) # draw plan using references for hexagon in self.hexaflexagon.hexagons: for triangle in hexagon.triangles: m = self.get_triangle_transform(triangle) svg_matrix = "matrix(%f, %f, %f, %f, %f, %f)" % (m[0], m[3], m[1], m[4], m[2], m[5]) # Reuse the hexagons triangle for the hexaflexagon template group = self.groups["Template"] triangle_href = "#hexagon%d-triangle%d" % (hexagon.index, triangle.index) ref = self.backend.svg.use(triangle_href) ref['transform'] = svg_matrix group.add(ref) # Reuse the folding guides group = self.groups["Folding guide"] folding_href = "#hexagon%d-triangle%d-folding" % (hexagon.index, triangle.index) ref = self.backend.svg.use(folding_href) ref['transform'] = svg_matrix group.add(ref) # Reuse the content to draw the final hexaflexagon group = self.groups["Hexaflexagon"] content_href = "#hexagon%d-content" % hexagon.index ref = self.backend.svg.use(content_href) ref['transform'] = svg_matrix ref['clip-path'] = "url(%s)" % (triangle_href + '-clip-path') group.add(ref) def draw_triangle_template(self, triangle, cx, cy, theta): old_active_group = self.backend.active_group group_name = "hexagon%d-triangle%d" % (triangle.hexagon.index, triangle.index) self.backend.active_group = self.groups[group_name] super(SvgwriteHexaflexagonDiagram, self).draw_triangle_template(triangle, cx, cy, theta) # The triangle outline in the active group's element is the only polygon # element, so get it and set its id so that it can be reused as # a clip-path for element in self.backend.active_group.elements: if isinstance(element, svgwrite.shapes.Polygon): element['id'] = group_name + "-outline" break clip_path = self.backend.svg.clipPath(id=group_name + '-clip-path') self.backend.svg.defs.add(clip_path) ref = self.backend.svg.use('#%s-outline' % group_name) clip_path.add(ref) self.backend.active_group = old_active_group def main(): width = 3508 height = 2480 x_border = width / 50 font_size = width / 80 stroke_width = width / 480 svg_backend = SvgwriteDiagram(width, height, font_size=font_size, stroke_width=stroke_width) hexaflexagon = SvgwriteHexaflexagonDiagram(x_border, backend=svg_backend) hexaflexagon.draw() svg_backend.save_svg("inkscape-hexaflexagon-editor.svg") if __name__ == "__main__": main()