mirror of
https://github.com/gumyr/build123d.git
synced 2025-12-06 02:30:55 -08:00
89 lines
2.8 KiB
Python
89 lines
2.8 KiB
Python
from math import sin, cos, pi
|
|
from build123d import *
|
|
|
|
# Canadian Flags have a 2:1 aspect ratio
|
|
height = 50
|
|
width = 2 * height
|
|
wave_amplitude = 3
|
|
|
|
|
|
def surface(amplitude, u, v):
|
|
"""Calculate the surface displacement of the flag at a given position"""
|
|
return v * amplitude / 20 * cos(3.5 * pi * u) + amplitude / 10 * v * sin(
|
|
1.1 * pi * v
|
|
)
|
|
|
|
|
|
# Note that the surface to project on must be a little larger than the faces
|
|
# being projected onto it to create valid projected faces
|
|
the_wind = Face.make_surface_from_array_of_points(
|
|
[
|
|
[
|
|
Vector(
|
|
width * (v * 1.1 / 40 - 0.05),
|
|
height * (u * 1.2 / 40 - 0.1),
|
|
height * surface(wave_amplitude, u / 40, v / 40) / 2,
|
|
)
|
|
for u in range(41)
|
|
]
|
|
for v in range(41)
|
|
]
|
|
)
|
|
|
|
field_planar = Plane.XY.offset(10) * Rectangle(
|
|
width / 4, height, align=(Align.MIN, Align.MIN)
|
|
)
|
|
west_field_planar = field_planar.faces()[0]
|
|
east_field_planar = mirror(west_field_planar, about=Plane.YZ.offset(width / 2))
|
|
|
|
l1 = Polyline((0.0000, 0.0771), (0.0187, 0.0771), (0.0094, 0.2569))
|
|
l2 = Polyline((0.0325, 0.2773), (0.2115, 0.2458), (0.1873, 0.3125))
|
|
r1 = RadiusArc(l1 @ 1, l2 @ 0, 0.0271)
|
|
l3 = Polyline((0.1915, 0.3277), (0.3875, 0.4865), (0.3433, 0.5071))
|
|
r2 = TangentArc(l2 @ 1, l3 @ 0, tangent=l2 % 1)
|
|
l4 = Polyline((0.3362, 0.5235), (0.375, 0.6427), (0.2621, 0.6188))
|
|
r3 = SagittaArc(l3 @ 1, l4 @ 0, 0.003)
|
|
l5 = Polyline((0.2469, 0.6267), (0.225, 0.6781), (0.1369, 0.5835))
|
|
r4 = ThreePointArc(l4 @ 1, (l4 @ 1 + l5 @ 0) * 0.5 + Vector(-0.002, -0.002), l5 @ 0)
|
|
l6 = Polyline((0.1138, 0.5954), (0.1562, 0.8146), (0.0881, 0.7752))
|
|
s = Spline(
|
|
l5 @ 1,
|
|
l6 @ 0,
|
|
tangents=(l5 % 1, l6 % 0),
|
|
tangent_scalars=(2, 2),
|
|
)
|
|
l7 = Line((0.0692, 0.7808), (0.0000, 0.9167))
|
|
r5 = TangentArc(l6 @ 1, l7 @ 0, tangent=l6 % 1)
|
|
|
|
outline = l1 + [l2, r1, l3, r2, l4, r3, l5, r4, l6, s, l7, r5]
|
|
outline += mirror(outline, about=Plane.YZ)
|
|
|
|
maple_leaf_planar = make_face(outline)
|
|
|
|
center_field_planar = (
|
|
Rectangle(1, 1, align=(Align.CENTER, Align.MIN)) - maple_leaf_planar
|
|
)
|
|
|
|
|
|
def scale_move(obj):
|
|
return Plane((width / 2, 0, 10)) * scale(obj, by=height)
|
|
|
|
|
|
def project(obj):
|
|
return obj.faces()[0].project_to_shape(the_wind, (0, 0, -1))[0]
|
|
|
|
|
|
maple_leaf_planar = scale_move(maple_leaf_planar)
|
|
center_field_planar = scale_move(center_field_planar)
|
|
|
|
west_field = project(west_field_planar)
|
|
east_field = project(east_field_planar)
|
|
center_field = project(center_field_planar)
|
|
maple_leaf = project(maple_leaf_planar)
|
|
|
|
|
|
if "show_object" in locals():
|
|
show_object(west_field, name="west", options={"color": (255, 0, 0)})
|
|
show_object(east_field, name="east", options={"color": (255, 0, 0)})
|
|
show_object(center_field, name="center", options={"color": (255, 255, 255)})
|
|
show_object(maple_leaf, name="maple", options={"color": (255, 0, 0)})
|