def example():
draw = Draw(scale=80)
offsets = list(
map(
float,
"0.04885131 0.38705046 0.15540683 0.37524718 0.09360688 0.04554864 0.0424169"
.split(" ")))
grid = Multigrid(7, offsets)
index_range = (-4, 4)
plot_grid(grid, draw, *index_range)
plot_intersections(grid, draw, *index_range)
draw.show()
def plot_intersections(grid: Multigrid, draw: Draw, i1: int, i2: int):
points = grid.calculate_intersections((i1, i2))
for g1, g2 in triangle_iterator(grid.N):
if 0 in (g1, g2) or 1 in (g1, g2):
if 0 in (g1, g2) and 1 in (g1, g2):
# continue
color = "white"
else:
# continue
color = "blue"
else:
# continue
color = "red"
for index in np.ndindex(points.shape[2:-1]):
x, y, z = points[(g1, g2, *index)]
draw.point(x, y, color=color)
def main():
palette = ["#fa26a0", "#fff591", "#3b2e5a"]
draw = Draw(scale=160,
width=3 * 1280,
height=3 * 1280,
bg_color=palette[-1])
draw.line_color = None
index_range = (-8, 8)
grid = multigrid.Pentagrid()
L.info("Grid base: {}".format(list(grid.base_offset.flatten())))
tiling_builder = TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
for rhomb in tiling_builder._rhombs.values():
c = int(rhomb.type() in (2, 3))
draw.polygon(rhomb.xy(form="xy1"), color=palette[c])
for a, b in rhomb.get_edges():
draw.edge(a.get_xy(), b.get_xy(), color=palette[-1], width=8)
draw.show()
def plot_grid(grid: Multigrid, draw: Draw, i1: int, i2: int):
for g in range(grid.N):
lines = grid.get_line_group(g, (i1, i2))
for line in lines:
draw.norm_line(line)
import multigrid
from ntiling import TilingBuilder
from drawing.pil_draw_simple import Draw
palette = [
"#ffee7d",
"#b767ff",
"#44fadd",
"#ffe0f7",
"#fe91ca",
]
draw = Draw(scale=110, width=3 * 1280, height=3 * 1280, bg_color=palette[-2])
draw.line_color = None
index_range = (-3, 3)
grid = multigrid.Multigrid(17)
tiling_builder = TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
for rhomb in tiling_builder._rhombs.values():
new = []
for a, b in rhomb.get_edges():
new.append((a.get_xy() + b.get_xy()) / 2)
p1 = new[-1]
for p2 in new:
draw.edge(p2[:2], p1[:2], color=palette[-1], width=8)
p1 = p2
draw.show()
import multigrid
from ntiling import TilingBuilder
from drawing.pil_draw_simple import Draw
palette = [
"#7fb414",
"#fac70b",
"#127681",
"#df0e62",
"#21174a",
]
draw = Draw(scale=150, width=3 * 1280, height=3 * 1280, bg_color=palette[-1])
draw.line_color = None
index_range = (-2, 2)
grid = multigrid.Multigrid(9)
tiling_builder = TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
for rhomb in tiling_builder._rhombs.values():
col = (rhomb.type() in (4, 5, 3, 6, 2, 7)) + (rhomb.type() in (
3, 6, 2, 7)) + (rhomb.type() in (2, 7))
if col != 0:
new = []
for a, b in rhomb.get_edges():
new.append((a.get_xy(form="xy1") + b.get_xy(form="xy1")) / 2)
# coords = rhomb.center(form="xy")
draw.polygon(new, color=palette[col])
else:
draw.polygon(rhomb.xy(form="xy1"), color=palette[col])
import multigrid
import ntiling
from drawing.pil_draw_simple import Draw
draw = Draw(scale=140, width=3*1280, height=3*1280, bg_color="#fff591")
draw.line_color = None
index_range = (-7, 7)
grid = multigrid.Pentagrid()
tiling_builder = ntiling.TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
palette = [
"#fa26a0",
"#fff591",
"#3b2e5a"
]
for rhomb in tiling_builder._rhombs.values():
c = rhomb.type() in (2, 3)
draw.polygon(rhomb.xy(form="xy1"), color=palette[c])
for a, b in rhomb.get_edges():
draw.edge(a.get_xy(form="xy"), b.get_xy(form="xy"), color=palette[-1], width=8)
draw.show()
import multigrid
from ntiling import TilingBuilder
from drawing.pil_draw_simple import Draw
palette = [
"#293462",
"#216583",
"#00818a",
"#f7be16",
]
draw = Draw(scale=90, width=3 * 1280, height=3 * 1280, bg_color=palette[-2])
draw.line_color = None
index_range = (-1, 1)
grid = multigrid.Multigrid(23)
tiling_builder = TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
for rhomb in tiling_builder._rhombs.values():
for a, b in rhomb.get_edges():
draw.edge(a.get_xy(homogenous=False),
b.get_xy(homogenous=False),
color=palette[-1],
width=4)
draw.show()
import numpy as np
import multigrid
import ntiling
from drawing.pil_draw_simple import Draw
palette = [
"#222831",
"#393e46",
"#ffd369",
"#eeeeee",
# "#000000"
]
draw = Draw(scale=200, width=3 * 1280, height=3 * 1280, bg_color=palette[-2])
draw.line_color = None
index_range = (-6, 6)
grid = multigrid.Pentagrid()
tiling_builder = ntiling.TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
radius = (1 * np.sin(np.pi / 5) / 2.3, 1 * np.sin(np.pi / 5 * 2) / 2.3)
for rhomb in tiling_builder._rhombs.values():
c = rhomb.type() in (2, 3)
if not c:
draw.polygon(rhomb.xy(form="xy1"), color=palette[-1])
else:
draw.polygon(rhomb.xy(form="xy1"), color=palette[c])
for a, b in rhomb.get_edges():
import colorsys
import numpy as np
import multigrid
import ntiling
from drawing.pil_draw_simple import Draw
draw = Draw(scale=30,
width=3 * 1280,
height=3 * 1280,
bg_color="#ffffff",
color_mode="RGB")
draw.line_color = None
index_range = (-18, 18)
grid = multigrid.Pentagrid()
tiling_builder = ntiling.TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
# assign a color to each ribbon
base_colors = [colorsys.hsv_to_rgb(1 / 12 * i, 1, 1) for i in range(8, 13)]
# compute colors for each ribbon intersection type
palette = {}
for i, j in multigrid.triangle_iterator(5):
c = [("0" + hex(int(a))[2:])[-2:] for a in ((
(np.sqrt(base_colors[i]) + np.sqrt(base_colors[j])) / 2)**2) * 256]
palette[(i, j)] = "#" + "".join(c)
for rhomb in tiling_builder._rhombs.values():
c = tuple(rhomb.node[:2])
palette = [
"#ffee7d",
"#b767ff",
"#44fadd",
"#fe91ca",
"#ffe0f7",
]
# palette = [
# "#7fb414",
# "#df0e62",
# "#127681",
# "#fac70b",
# "#092a35",
# ]
draw = Draw(scale=90, width=4 * 1280, height=4 * 1280, bg_color=palette[-1])
draw.line_color = None
index_range = (-4, 4)
offsets = list(
map(
float,
"0.04885131 0.38705046 0.15540683 0.37524718 0.09360688 0.04554864 0.0424169"
.split(" ")))
grid = multigrid.Multigrid(7, offsets)
# grid = multigrid.Multigrid(7, [0.11071195, 0.40178219, 0.38167641, 0.05840904, 0.26593674, 0.30876262, 0.40169052])
tiling_builder = TilingBuilder(grid)
tiling_builder.prepare_grid(index_range)
tiling_builder.generate_rhomb_list()
for rhomb in tiling_builder._rhombs.values():
c = (rhomb.type() in (1, 6, 2, 5)) + (rhomb.type() in (1, 6))