def draw_dodecahedron(
ctx: cairo.Context,
rng: Generator,
pos_x: float,
pos_y: float,
radius: float,
rotation: float = 0,
):
# Outer boundary
outer_points = list(
points_along_arc(pos_x, pos_y, radius, rotation, rotation + tau, 10))
for prev_index, (bx, by) in enumerate(outer_points, -1):
ax, ay = outer_points[prev_index]
ctx.move_to(ax, ay)
ctx.line_to(bx, by)
ctx.stroke()
# Frontside inner pentagon
inner_fs_points = list(
points_along_arc(pos_x, pos_y, 0.6 * radius, rotation, rotation + tau,
5))
for prev_index, (bx, by) in enumerate(inner_fs_points, -1):
ax, ay = inner_fs_points[prev_index]
ctx.move_to(ax, ay)
ctx.line_to(bx, by)
ctx.stroke()
# Outer to frontside inner
for (ax, ay), (bx, by) in zip(inner_fs_points, outer_points[::2]):
ctx.move_to(ax, ay)
ctx.line_to(bx, by)
ctx.stroke()
# backside inner pentagon
offset = pi / 5
inner_bs_points = list(
points_along_arc(
pos_x,
pos_y,
0.6 * radius,
rotation + offset,
rotation + offset + tau,
5,
))
for prev_index, (bx, by) in enumerate(inner_bs_points, -1):
ax, ay = inner_bs_points[prev_index]
ctx.move_to(ax, ay)
ctx.line_to(bx, by)
ctx.stroke()
# Outer to backside inner
for (ax, ay), (bx, by) in zip(inner_bs_points, outer_points[1::2]):
ctx.move_to(ax, ay)
ctx.line_to(bx, by)
ctx.stroke()
def draw_circular_roman(
ctx: cairo.Context,
rng: Generator,
pos_x: float,
pos_y: float,
radius_outer: float,
radius_inner: float,
):
chunks = rng.integers(6, 16)
_calendar_base(ctx, pos_x, pos_y, radius_outer, radius_inner, chunks)
ctx.select_font_face("Noto Sans Symbols")
font_size = 0.8 * (radius_outer - radius_inner)
ctx.set_font_size(font_size)
angle_offset = pi / chunks
for i, (x, y) in enumerate(
points_along_arc(
pos_x,
pos_y,
(radius_inner + radius_outer) / 2.0,
angle_offset,
angle_offset + tau,
chunks,
),
1,
):
with translation(ctx, x, y), rotation(ctx, (i * tau / chunks) +
(pi / 2) - angle_offset):
roman = int_to_roman(i)
extents = ctx.text_extents(roman)
ctx.move_to(-1 * extents.width / 2.0, extents.height / 2.0)
ctx.show_text(roman)
ctx.new_path()
def _calendar_base(
ctx: cairo.Context,
pos_x: float,
pos_y: float,
radius_outer: float,
radius_inner: float,
chunks: int,
):
ctx.arc(pos_x, pos_y, radius_outer, 0, tau)
ctx.stroke_preserve()
ctx.arc(pos_x, pos_y, radius_inner, 0, tau)
ctx.stroke()
for (start_x, start_y), (end_x, end_y) in zip(
points_along_arc(pos_x, pos_y, radius_inner, 0, tau, chunks),
points_along_arc(pos_x, pos_y, radius_outer, 0, tau, chunks),
):
ctx.move_to(start_x, start_y)
ctx.line_to(end_x, end_y)
ctx.stroke()
def draw_star(ctx: cairo.Context, rng: Generator, pos_x: float, pos_y: float,
size: float):
spikes = rng.integers(5, 8)
outer_points = list(
jitter_points(points_along_arc(pos_x, pos_y, size, 0, tau, spikes),
rng, 0.1 * size), )
inner_offset = pi / spikes
inner_points = list(
jitter_points(
points_along_arc(pos_x, pos_y, size / 2.0, inner_offset,
inner_offset + tau, spikes),
rng,
0.1 * size,
))
ctx.move_to(*inner_points[-1])
for (ax, ay), (bx, by) in zip(outer_points, inner_points):
ctx.line_to(ax, ay)
ctx.line_to(bx, by)
ctx.stroke_preserve()
with source(ctx, Color(1.0, 1.0, 1.0).to_pattern()):
ctx.fill()
def draw_moon_cycles(
ctx: cairo.Context,
rng: Generator,
pos_x: float,
pos_y: float,
radius_outer: float,
radius_inner: float,
):
ctx.arc(pos_x, pos_y, radius_outer, 0, tau)
ctx.arc(pos_x, pos_y, radius_inner, 0, tau)
ctx.stroke()
n_moons = rng.integers(6, 12)
for i, (x, y) in enumerate(
points_along_arc(
pos_x, pos_y, (radius_outer + radius_inner) / 2.0, 0, tau, n_moons
)
):
pct_done = i / n_moons
eclipse_pct = (pct_done * 2.0) - 1.0
draw_moon(ctx, x, y, (radius_outer - radius_inner) / 2.3, eclipse_pct)
def _calendar_mapped(
ctx: cairo.Context,
rng: Generator,
pos_x: float,
pos_y: float,
radius_outer: float,
radius_inner: float,
mapping: Sequence[str],
font_family: str = "Noto Sans Symbols",
):
chunks = rng.integers(6, min(len(mapping), 24))
_calendar_base(ctx, pos_x, pos_y, radius_outer, radius_inner, chunks)
ctx.select_font_face(font_family)
font_size = 0.8 * (radius_outer - radius_inner)
ctx.set_font_size(font_size)
symbols = rng.choice(mapping, size=chunks, replace=False)
angle_offset = pi / chunks
for i, (x, y) in enumerate(
points_along_arc(
pos_x,
pos_y,
(radius_inner + radius_outer) / 2.0,
angle_offset,
angle_offset + tau,
chunks,
),
1,
):
with translation(ctx, x, y), rotation(ctx, (i * tau / chunks) +
(pi / 2) - angle_offset):
symbol = symbols[i - 1]
extents = ctx.text_extents(symbol)
ctx.move_to(-1 * extents.width / 2.0, extents.height / 2.0)
ctx.show_text(symbol)
ctx.new_path()
def draw_star_band(
ctx: cairo.Context,
rng: Generator,
pos_x: float,
pos_y: float,
radius_outer: float,
radius_inner: float,
):
band_center = (radius_outer + radius_inner) / 2
star_size = 0.2 * (radius_outer - radius_inner)
n_stars = rng.integers(20, 50)
ctx.arc(pos_x, pos_y, radius_outer, 0, tau)
ctx.arc_negative(pos_x, pos_y, radius_inner, 0, -tau)
ctx.stroke_preserve()
ctx.clip_preserve()
grad_offset_x = rng.uniform(radius_inner / 3.0, radius_inner)
grad_offset_y = rng.uniform(radius_inner / 3.0, radius_inner)
grad = PointLinearGradient(
[Color(0, 0, 0), Color(1, 1, 1, 0.0)], Pattern.PACKED)
grad.fill(
ctx,
rng,
pos_x - grad_offset_x,
pos_y - grad_offset_y,
pos_x + grad_offset_x,
pos_y + grad_offset_y,
)
for x, y in jitter_points(
points_along_arc(pos_x, pos_y, band_center, 0, tau, n_stars), rng,
star_size):
draw_star(ctx, rng, x, y, star_size)
ctx.reset_clip()
def draw_tangents(
ctx: cairo.Context,
rng: Generator,
pos_x: float,
pos_y: float,
radius_outer: float,
radius_inner: float,
):
origin_points = rng.choice([12, 24, 36, 48, 60])
for start_x, start_y in points_along_arc(
pos_x, pos_y, radius_outer, 0, tau, origin_points
):
angle_c_to_tangent = acos(radius_inner / radius_outer)
angle_c_to_point = atan2(start_y - pos_y, start_x - pos_x)
# 2 tangents:
for op in (add, sub):
angle_tangent = op(angle_c_to_point, angle_c_to_tangent)
tangent_x = pos_x + radius_inner * cos(angle_tangent)
tangent_y = pos_y + radius_inner * sin(angle_tangent)
ctx.move_to(start_x, start_y)
ctx.line_to(tangent_x, tangent_y)
ctx.stroke()