在Python中实现点与四维球的接近度的可视化

import matplotlib.pyplot as plt
import numpy as np

# 四维球的中心点坐标
center = np.array([0, 0, 0, 0])

# 待测点的坐标
point = np.array([1, 2, 3, 4])

# 计算点与四维球的接近度
distance = np.linalg.norm(point - center)

# 绘制四维球
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
u = np.linspace(0, 2 * np.pi, 100)
v = np.linspace(0, np.pi, 100)
x = np.outer(np.cos(u), np.sin(v))
y = np.outer(np.sin(u), np.sin(v))
z = np.outer(np.ones(np.size(u)), np.cos(v))
ax.plot_surface(x, y, z, color='b', alpha=0.2)

# 绘制待测点
ax.scatter(point[0], point[1], point[2], c='r', marker='o')

# 设置坐标轴范围
ax.set_xlim([-1, 1])
ax.set_ylim([-1, 1])
ax.set_zlim([-1, 1])

# 设置坐标轴标签
ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Z')

# 设置图像标题
plt.title('Point and Four-Dimensional Sphere')

# 显示图像
plt.show()

# 打印点与四维球的接近度
print('Distance:', distance)