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106 lines
3.7 KiB
Python
106 lines
3.7 KiB
Python
"""
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name: "canadian_flag.py"
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title: "Canadian Flag blowing in the wind"
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authors: "Gumyr"
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license: "http://www.apache.org/licenses/LICENSE-2.0"
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created: "2023-02-23"
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modified: "2023-07-31"
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description: |
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A Canadian Flag blowing in the wind created by projecting planar faces onto a non-planar face (the_wind).
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This example also demonstrates building complex lines that snap to existing features.
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has_builder_mode: true
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has_algebra_mode: true
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image_files:
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- "example_canadian_flag_01.png"
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- "example_canadian_flag_02.png"
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- "example_canadian_flag_03.png"
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"""
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# [Imports]
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from math import sin, cos, pi
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from build123d import *
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from ocp_vscode import show_object, show
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# [Parameters]
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# Canadian Flags have a 2:1 aspect ratio
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height = 50
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width = 2 * height
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wave_amplitude = 3
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# [Code]
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def surface(amplitude, u, v):
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"""Calculate the surface displacement of the flag at a given position"""
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return v * amplitude / 20 * cos(3.5 * pi * u) + amplitude / 10 * v * sin(
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1.1 * pi * v
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)
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# Note that the surface to project on must be a little larger than the faces
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# being projected onto it to create valid projected faces
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the_wind = Face.make_surface_from_array_of_points(
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[
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[
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Vector(
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width * (v * 1.1 / 40 - 0.05),
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height * (u * 1.2 / 40 - 0.1),
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height * surface(wave_amplitude, u / 40, v / 40) / 2,
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)
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for u in range(41)
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]
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for v in range(41)
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]
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)
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with BuildSketch(Plane.XY.offset(10)) as west_field_builder:
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Rectangle(width / 4, height, align=(Align.MIN, Align.MIN))
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west_field_planar = west_field_builder.sketch.faces()[0]
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east_field_planar = west_field_planar.mirror(Plane.YZ.offset(width / 2))
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with BuildSketch(Plane((width / 2, 0, 10))) as center_field_builder:
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Rectangle(width / 2, height, align=(Align.CENTER, Align.MIN))
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with BuildSketch(
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Plane((width / 2, 0, 10)), mode=Mode.SUBTRACT
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) as maple_leaf_builder:
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with BuildLine() as outline:
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l1 = Polyline((0.0000, 0.0771), (0.0187, 0.0771), (0.0094, 0.2569))
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l2 = Polyline((0.0325, 0.2773), (0.2115, 0.2458), (0.1873, 0.3125))
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RadiusArc(l1 @ 1, l2 @ 0, 0.0271)
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l3 = Polyline((0.1915, 0.3277), (0.3875, 0.4865), (0.3433, 0.5071))
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TangentArc(l2 @ 1, l3 @ 0, tangent=l2 % 1)
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l4 = Polyline((0.3362, 0.5235), (0.375, 0.6427), (0.2621, 0.6188))
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SagittaArc(l3 @ 1, l4 @ 0, 0.003)
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l5 = Polyline((0.2469, 0.6267), (0.225, 0.6781), (0.1369, 0.5835))
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ThreePointArc(
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l4 @ 1, (l4 @ 1 + l5 @ 0) * 0.5 + Vector(-0.002, -0.002), l5 @ 0
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)
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l6 = Polyline((0.1138, 0.5954), (0.1562, 0.8146), (0.0881, 0.7752))
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Spline(
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l5 @ 1,
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l6 @ 0,
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tangents=(l5 % 1, l6 % 0),
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tangent_scalars=(2, 2),
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)
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l7 = Line((0.0692, 0.7808), (0.0000, 0.9167))
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TangentArc(l6 @ 1, l7 @ 0, tangent=l6 % 1)
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mirror(outline.edges(), Plane.YZ)
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make_face()
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scale(by=height)
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maple_leaf_planar = maple_leaf_builder.sketch.faces()[0]
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center_field_planar = center_field_builder.sketch.faces()[0]
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west_field = west_field_planar.project_to_shape(the_wind, (0, 0, -1))[0]
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west_field.color = Color("red")
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east_field = east_field_planar.project_to_shape(the_wind, (0, 0, -1))[0]
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east_field.color = Color("red")
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center_field = center_field_planar.project_to_shape(the_wind, (0, 0, -1))[0]
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center_field.color = Color("white")
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maple_leaf = maple_leaf_planar.project_to_shape(the_wind, (0, 0, -1))[0]
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maple_leaf.color = Color("red")
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canadian_flag = Compound(children=[west_field, east_field, center_field, maple_leaf])
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show(Rot(90, 0, 0) * canadian_flag)
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# [End]
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