用三角形绘制四面体

import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
import numpy as np

# 定义四面体的顶点
vertices = np.array([
    [0, 0, 0],
    [1, 0, 0],
    [0.5, np.sqrt(3)/2, 0],
    [0.5, np.sqrt(3)/6, np.sqrt(6)/3]
])

# 定义四面体的面
faces = [
    [vertices[0], vertices[1], vertices[2]],  # 面ABC
    [vertices[0], vertices[1], vertices[3]],  # 面ABD
    [vertices[0], vertices[2], vertices[3]],  # 面ACD
    [vertices[1], vertices[2], vertices[3]]   # 面BCD
]

# 创建3D图形对象
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')

# 绘制四面体的各个面
ax.add_collection3d(Poly3DCollection(faces, facecolors='cyan', linewidths=1, edgecolors='r', alpha=.25))

# 设置坐标轴范围
ax.set_xlim([0, 1])
ax.set_ylim([0, np.sqrt(3)/2])
ax.set_zlim([0, np.sqrt(6)/3])

# 显示图形
plt.show()