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Add Dodecahedron

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This commit is contained in:
Grant Sanderson 2021-12-13 16:03:46 -08:00
parent b81f244c3c
commit 83841ae415
1 changed files with 49 additions and 0 deletions
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49
manimlib/mobject/three_dimensions.py
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@ -6,6 +6,8 @@ from manimlib.mobject.types.surface import SGroup
from manimlib.mobject.types.vectorized_mobject import VGroup
from manimlib.mobject.types.vectorized_mobject import VMobject
from manimlib.mobject.geometry import Square
from manimlib.mobject.geometry import Polygon
from manimlib.mobject.geometry import Line
from manimlib.utils.bezier import interpolate
from manimlib.utils.config_ops import digest_config
from manimlib.utils.space_ops import get_norm
@ -221,6 +223,53 @@ class VCube(VGroup):
self.refresh_unit_normal()
class Dodecahedron(VGroup):
CONFIG = {
"fill_color": BLUE_E,
"fill_opacity": 1,
"stroke_width": 1,
"reflectiveness": 0.2,
"gloss": 0.3,
"shadow": 0.2,
"depth_test": True,
}
def init_points(self):
# Star by creating two of the pentagons, meeting
# back to back on the positive x-axis
phi = (1 + math.sqrt(5)) / 2
x, y, z = np.identity(3)
pentagon1 = Polygon(
[phi, 1 / phi, 0],
[1, 1, 1],
[1 / phi, 0, phi],
[1, -1, 1],
[phi, -1 / phi, 0],
)
pentagon2 = pentagon1.copy().stretch(-1, 2, about_point=ORIGIN)
pentagon2.reverse_points()
x_pair = VGroup(pentagon1, pentagon2)
z_pair = x_pair.copy().apply_matrix(np.array([z, -x, -y]).T)
y_pair = x_pair.copy().apply_matrix(np.array([y, z, x]).T)
self.add(*x_pair, *y_pair, *z_pair)
for pentagon in list(self):
pc = pentagon.copy()
pc.apply_function(lambda p: -p)
pc.reverse_points()
self.add(pc)
# # Rotate those two pentagons by all the axis permuations to fill
# # out the dodecahedron
# Id = np.identity(3)
# for i in range(3):
# perm = [j % 3 for j in range(i, i + 3)]
# for b in [1, -1]:
# matrix = b * np.array([Id[0][perm], Id[1][perm], Id[2][perm]])
# self.add(pentagon1.copy().apply_matrix(matrix, about_point=ORIGIN))
# self.add(pentagon2.copy().apply_matrix(matrix, about_point=ORIGIN))
class Prism(Cube):
CONFIG = {
"dimensions": [3, 2, 1]