def diagram(**opt):
"""Draw the underlying structure of a design"""
width, height = opt['size']
tilew = int(width / opt['tiles'])
dwg = Drawing(width, height, name="diagram")
design_class = get_design(opt['design'])
draw = design_class(tilew)
# The full pattern.
tiler = PathTiler(dwg)
draw.draw(tiler)
with dwg.style(rgb=(.5, .5, .5)):
draw_paths(tiler.paths, dwg)
dwg.stroke()
# The symmetry.
tiler = PathTiler(dwg)
tiler.tile_p6m(draw.draw_tiler_unit, tilew)
with dwg.style(rgb=(1, .75, .75), width=1, dash=[5, 5]):
draw_paths(tiler.paths, dwg)
dwg.stroke()
def single_tiler():
"""Make a PathTiler right for drawing just one unit."""
tiler = PathTiler(dwg)
# TODO: make this work for other symmetries
tiler.pc.translate(2 * tilew * math.sqrt(3) / 2, tilew)
tiler.pc.reflect_xy(0, 0)
return tiler
# The tiler unit.
tiler = single_tiler()
draw.draw_tiler_unit(tiler.pc)
with dwg.style(rgb=(1, 0, 0), width=3):
draw_paths(tiler.paths, dwg)
dwg.stroke()
# The design.
tiler = single_tiler()
draw.draw_tile(tiler.pc)
with dwg.style(rgb=(0, 0, 0), width=6):
draw_paths(tiler.paths, dwg)
dwg.stroke()
dwg.finish()
def debug_output(dwgw=None, paths=None, segments=None, isects=None):
dwg = Drawing(paths=paths, name="debug.png")
dwg.draw_segments(segments, rgb=(0, 0, 0), width=1)
dup_segments = []
segments.sort()
for s1, s2 in zip(segments, segments[1:]):
if s1 == s2:
dup_segments.append(s1)
dwg.draw_segments(dup_segments, rgb=(1, 0, 0), width=7)
if dwgw is not None:
with dwg.style(rgb=(0, 0, 1), width=2, dash=[5, 5]):
dwg.rectangle(0, 0, dwgw, dwgw)
dwg.stroke()
if isects is not None:
dwg.circle_points(isects, radius=9, rgb=(0, .5, 0), width=3)
dwg.finish()
def debug_world(paths, width, height):
dwg = Drawing(paths=paths, name="debug_world", bg=None)
# Gray rectangle: the desired visible canvas.
with dwg.style(rgb=(.95, .95, .95)):
dwg.rectangle(0, 0, width, height)
dwg.fill()
# Reference grid.
llx, lly = dwg.llx, dwg.lly
urx = llx + dwg.width
ury = lly + dwg.height
with dwg.style(rgb=(.5, 1, 1), width=1, dash=[5, 5], dash_offset=7.5):
for xmin in tick_range(llx, urx, 20):
dwg.move_to(xmin, lly)
dwg.line_to(xmin, ury)
dwg.stroke()
for ymin in tick_range(lly, ury, 20):
dwg.move_to(llx, ymin)
dwg.line_to(urx, ymin)
dwg.stroke()
with dwg.style(rgb=(.5, 1, 1), width=1):
dwg.circle_points([Point(0, 0)], radius=10)
for xmaj in tick_range(llx, urx, 100):
dwg.move_to(xmaj, lly)
dwg.line_to(xmaj, ury)
dwg.stroke()
for ymaj in tick_range(lly, ury, 100):
dwg.move_to(llx, ymaj)
dwg.line_to(urx, ymaj)
dwg.stroke()
# The paths themselves.
dwg.draw_paths(paths, width=1, rgb=(1, 0, 0))
dwg.finish()
print("Wrote debug_world.png")
def candystripe(**opt):
width, height = opt['size']
TILEW = int(width / opt['tiles'])
dwg = Drawing(width, height, name="candy")
pt = PathTiler()
design_class = get_design(opt['design'])
draw = design_class(TILEW)
draw.draw(pt, dwg.get_size())
paths = combine_paths(pt.paths)
LINE_WIDTH = TILEW / 4
dwg.multi_stroke(
paths,
[
#(LINE_WIDTH, (0, 0, 0)),
(LINE_WIDTH - 2, random_color),
#(7, (0, 0, 0)),
(5, (1, 1, 1)),
])
dwg.finish()
def straps(**opt):
width, height = opt['size']
TILEW = int(width / opt['tiles'])
if opt['strap_width'] > 0:
strap_kwargs = dict(width=TILEW * opt['strap_width'] / 100,
random_factor=0)
else:
strap_kwargs = dict(width=TILEW / 60, random_factor=4.9)
dwg = Drawing(width, height, name="straps", bg=(.8, .8, .8))
pt = PathTiler()
design_class = get_design(opt['design'])
draw = design_class(TILEW)
draw.draw(pt, dwg.get_size())
paths = combine_paths(pt.paths)
if should_debug('world'):
debug_world(paths, width, height)
straps = strapify(paths, **strap_kwargs)
with dwg.style(rgb=(1, 1, 1)):
for strap in straps:
replay_path(strap.sides[0], dwg)
replay_path(strap.sides[1][::-1], dwg, append=True)
dwg.close_path()
dwg.fill()
with dwg.style(rgb=(0, 0, 0), width=2):
for strap in straps:
for side in strap.sides:
replay_path(side, dwg)
dwg.stroke()
dwg.finish()
def talk_pictures():
size = (883, 683)
tilew = int(DWGW / 3)
dwgnum = iter(itertools.count())
def dwg_name(slug):
return f'three_stars_{next(dwgnum):03d}_{slug}'
dwg = Drawing(*size, name=dwg_name('start'), bg=(.85, .85, .85))
draw_it(tilew, dwg)
dwg.finish()
dwg = Drawing(*size, name=dwg_name('thin'))
draw_it(tilew, dwg, fat=False)
dwg.finish()
dwg = Drawing(*size, name=dwg_name('symmetry'))
tiler = PathTiler(dwg)
draw = ThreeStarsDesign(tilew)
tiler.tile_p6m(draw.draw_tiler_unit, tilew)
with dwg.style(rgb=(1, .15, .15), width=1, dash=[5, 5]):
draw_paths(tiler.paths, dwg)
dwg.stroke()
dwg.finish()
def single_tiler():
tiler = PathTiler(dwg)
tiler.pc.translate(2 * tilew * SQRT3 / 2, tilew)
tiler.pc.reflect_xy(0, 0)
return tiler
dwg = Drawing(*size, name=dwg_name('triangle'))
tiler = PathTiler(dwg)
draw = ThreeStarsDesign(tilew)
tiler.tile_p6m(draw.draw_tiler_unit, tilew)
with dwg.style(rgb=(1, .5, .5), width=1, dash=[5, 5]):
draw_paths(tiler.paths, dwg)
dwg.stroke()
tiler = single_tiler()
draw.draw_tiler_unit(tiler.pc)
with dwg.style(rgb=(1, 0, 0), width=3):
draw_paths(tiler.paths, dwg)
dwg.stroke()
dwg.finish()
dwg = Drawing(*size, name=dwg_name('design'))
tiler = PathTiler(dwg)
draw = ThreeStarsDesign(tilew)
tiler.tile_p6m(draw.draw_tiler_unit, tilew)
with dwg.style(rgb=(1, .5, .5), width=1, dash=[5, 5]):
draw_paths(tiler.paths, dwg)
dwg.stroke()
tiler = single_tiler()
draw.draw_tiler_unit(tiler.pc)
with dwg.style(rgb=(1, 0, 0), width=3):
draw_paths(tiler.paths, dwg)
dwg.stroke()
tiler = single_tiler()
draw.draw_tile(tiler.pc)
with dwg.style(rgb=(0, 0, 0), width=6):
draw_paths(tiler.paths, dwg)
dwg.stroke()
dwg.finish()
dwg = Drawing(*size, name=dwg_name('lined'))
draw_it(tilew, dwg, fat=False, color=(.5, .5, .5))
tiler = PathTiler(dwg)
draw = ThreeStarsDesign(tilew)
tiler.tile_p6m(draw.draw_tiler_unit, tilew)
with dwg.style(rgb=(1, .75, .75), width=1, dash=[5, 5]):
draw_paths(tiler.paths, dwg)
dwg.stroke()
tiler = single_tiler()
draw.draw_tile(tiler.pc)
with dwg.style(rgb=(0, 0, 0), width=6):
draw_paths(tiler.paths, dwg)
dwg.stroke()
dwg.finish()
dwg = Drawing(*size, name=dwg_name('chaos'))
draw_it(tilew,
dwg,
fat=False,
color=random_color,
combined=False,
line_width=8)
dwg.finish()
dwg = Drawing(*size, name=dwg_name('joined'))
draw_it(tilew,
dwg,
fat=False,
color=random_color,
combined=True,
line_width=8)
dwg.finish()
def final():
tilew = int(DWGW / 5)
dwg = Drawing(DWGW, DWGW, bg=(.85, .85, .85), name='three_stars_final')
draw_it(tilew, dwg)
dwg.finish()
def talk_pictures():
size = (883, 683)
TILEW = int(DWGW/3)
dwgnum = iter(itertools.count())
def dwg_name(slug):
return f'three_stars_{next(dwgnum):03d}_{slug}'
dwg = Drawing(*size, name=dwg_name('start'), bg=(.85, .85, .85))
draw_it(TILEW, dwg)
dwg.finish()
dwg = Drawing(*size, name=dwg_name('thin'))
draw_it(TILEW, dwg, fat=False)
dwg.finish()
dwg = Drawing(*size, name=dwg_name('symmetry'))
pt = PathTiler()
draw = ThreeStarsDesign(TILEW)
pt.tile_p6m(draw.draw_triangle, dwg.get_size(), TILEW)
with dwg.style(rgb=(1, .15, .15), width=1, dash=[5, 5]):
pt.replay_paths(dwg)
dwg.stroke()
dwg.finish()
def single_tiler():
pt = PathTiler()
pt.translate(2 * TILEW * SQRT3 / 2, TILEW)
pt.reflect_xy(0, 0)
return pt
dwg = Drawing(*size, name=dwg_name('triangle'))
pt = PathTiler()
draw = ThreeStarsDesign(TILEW)
pt.tile_p6m(draw.draw_triangle, dwg.get_size(), TILEW)
with dwg.style(rgb=(1, .5, .5), width=1, dash=[5, 5]):
pt.replay_paths(dwg)
dwg.stroke()
pt = single_tiler()
draw.draw_triangle(pt)
with dwg.style(rgb=(1, 0, 0), width=3):
pt.replay_paths(dwg)
dwg.stroke()
dwg.finish()
dwg = Drawing(*size, name=dwg_name('design'))
pt = PathTiler()
draw = ThreeStarsDesign(TILEW)
pt.tile_p6m(draw.draw_triangle, dwg.get_size(), TILEW)
with dwg.style(rgb=(1, .5, .5), width=1, dash=[5, 5]):
pt.replay_paths(dwg)
dwg.stroke()
pt = single_tiler()
draw.draw_triangle(pt)
with dwg.style(rgb=(1, 0, 0), width=3):
pt.replay_paths(dwg)
dwg.stroke()
pt = single_tiler()
draw.draw_tile(pt)
with dwg.style(rgb=(0, 0, 0), width=6):
pt.replay_paths(dwg)
dwg.stroke()
dwg.finish()
dwg = Drawing(*size, name=dwg_name('lined'))
draw_it(TILEW, dwg, fat=False, color=(.5, .5, .5))
pt = PathTiler()
draw = ThreeStarsDesign(TILEW)
pt.tile_p6m(draw.draw_triangle, dwg.get_size(), TILEW)
with dwg.style(rgb=(1, .75, .75), width=1, dash=[5, 5]):
pt.replay_paths(dwg)
dwg.stroke()
pt = single_tiler()
draw.draw_tile(pt)
with dwg.style(rgb=(0, 0, 0), width=6):
pt.replay_paths(dwg)
dwg.stroke()
dwg.finish()
dwg = Drawing(*size, name=dwg_name('chaos'))
draw_it(TILEW, dwg, fat=False, color=random_color, combined=False, line_width=8)
dwg.finish()
dwg = Drawing(*size, name=dwg_name('joined'))
draw_it(TILEW, dwg, fat=False, color=random_color, combined=True, line_width=8)
dwg.finish()
def final():
TILEW = int(DWGW/5)
dwg = Drawing(DWGW, DWGW, bg=(.85, .85, .85), name='three_stars_final')
draw_it(TILEW, dwg)
dwg.finish()
def debug_world(dwg0, paths_styles):
"""Draw a picture of the entire world.
`dwg0` is the Drawing we're really making.
`paths_styles` is a list of tuples: (paths, style) for drawing.
"""
# Get the perimeter of the real drawing.
dwg0_path = dwg0.perimeter()
# Get the bounds of everything we're going to draw.
bounds = EmptyBounds()
for paths, styles in paths_styles:
bounds |= paths_bounds(paths)
bounds |= dwg0_path.bounds()
bounds = bounds.expand(percent=2)
dwg = Drawing(bounds=bounds, name="debug_world", bg=(.95, .95, .95))
# White rectangle: the desired visible canvas.
with dwg.style(rgb=(1, 1, 1)):
dwg0_path.draw(dwg)
dwg.fill()
# Reference grid.
llx, lly, urx, ury = dwg.bounds
with dwg.style(rgb=(.5, 1, 1), width=1, dash=[5, 5], dash_offset=7.5):
for xmin in tick_range(llx, urx, 20):
dwg.move_to(xmin, lly)
dwg.line_to(xmin, ury)
dwg.stroke()
for ymin in tick_range(lly, ury, 20):
dwg.move_to(llx, ymin)
dwg.line_to(urx, ymin)
dwg.stroke()
with dwg.style(rgb=(.5, 1, 1), width=1):
for xmaj in tick_range(llx, urx, 100):
dwg.move_to(xmaj, lly)
dwg.line_to(xmaj, ury)
dwg.stroke()
for ymaj in tick_range(lly, ury, 100):
dwg.move_to(llx, ymaj)
dwg.line_to(urx, ymaj)
dwg.stroke()
# The origin.
with dwg.style(rgb=(0, .75, .75), width=1):
dwg.circle_points([Point(0, 0)], radius=10)
dwg.move_to(-10, 0)
dwg.line_to(10, 0)
dwg.move_to(0, -10)
dwg.line_to(0, 10)
dwg.stroke()
# The paths themselves.
for paths, styles in paths_styles:
dwg.draw_paths(paths, **styles)
dwg.finish()
print("Wrote debug_world.png")