我有6个点,它们都位于球体的表面上,是八面体的顶点。如何在三维轴上将球体内的这个八面体的表面切割成?
我有以下代码,但它没有做我所希望的:
from mpl_toolkits.mplot3d import Axes3D
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
import matplotlib.pyplot as plt
Points=[[ 0.17770898, 0.72315927, 0.66742804],
[-0.65327074, -0.4196453 , 0.63018661],
[ 0.65382635, 0.42081934, -0.62882604],
[-0.17907021, -0.72084723, -0.66956189],
[-0.73452809, 0.5495376 , -0.39809158],
[ 0.73451554, -0.55094017, 0.39617148]]
fig=plt.figure()
ax =fig.add_subplot(1, 1, 1, projection='3d', aspect=1)
ax.add_collection3d(Poly3DCollection([Points]))
u = np.linspace(0, np.pi, 30)
v = np.linspace(0, 2 * np.pi, 30)
x = np.outer(np.sin(u), np.sin(v))
y = np.outer(np.sin(u), np.cos(v))
z = np.outer(np.cos(u), np.ones_like(v))
ax.plot_wireframe(x, y, z, alpha=0.3)
plt.show()
感谢您的帮助。
答案 0 :(得分:2)
Poly3DCollection
是多边形列表,而Polygon是点列表,点是包含三个值的列表。因此,您应该将值列表列表传递给Poly3DCollection
。更改以下代码:
ax.add_collection3d(Poly3DCollection([Points]))
答案 1 :(得分:2)
加上HYRY的回答;从多个多边形面的列表构建体积,并且每个面依次由点列表构建。 (因此,如果面是相邻的,则每个点在列表列表中存在若干次)。请考虑以下代码段,其中的点标记为:
from mpl_toolkits.mplot3d import Axes3D
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
import matplotlib.pyplot as plt
fig = plt.figure ()
ax = fig.add_subplot (1, 1, 1, projection = '3d', aspect = 1)
# octahedron
A = [ 0.17770898, 0.72315927, 0.66742804]
B = [-0.65327074, -0.4196453 , 0.63018661]
C = [ 0.65382635, 0.42081934, -0.62882604]
D = [-0.17907021, -0.72084723, -0.66956189]
E = [-0.73452809, 0.5495376 , -0.39809158]
F = [ 0.73451554, -0.55094017, 0.39617148]
OCTO = [[E, A, B],
[E, B, D],
[E, D, C],
[E, C, A],
[F, A, B],
[F, B, D],
[F, D, C],
[F, C, A],
]
ax.add_collection3d (Poly3DCollection (OCTO))
# sphere
u = np.linspace (0, np.pi, 30)
v = np.linspace (0, 2 * np.pi, 30)
x = np.outer (np.sin (u), np.sin (v))
y = np.outer (np.sin (u), np.cos (v))
z = np.outer (np.cos (u), np.ones_like (v))
ax.plot_wireframe (x, y, z, alpha = 0.3)
plt.show ()