Python实现将n个点均匀地分布在球面上的方法

https://www.jb51.net/article/62067.htm

将10000左右个点均匀地分布在一个球面上。所谓的均匀，即相邻的两个点之间的距离尽量一致。

算法是用基于正多面体剖分球面，选的是正八面体。

#!/usr/bin/python
# -*- coding: utf-8 -*-
import math
class Spherical(object):
  '''球坐标系'''
  def __init__(self, radial = 1.0, polar = 0.0, azimuthal = 0.0):
    self.radial = radial
    self.polar = polar
    self.azimuthal = azimuthal
  def toCartesian(self):
    '''转直角坐标系'''
    r = math.sin(self.azimuthal) * self.radial
    x = math.cos(self.polar) * r
    y = math.sin(self.polar) * r
    z = math.cos(self.azimuthal) * self.radial
    return x, y, z
def splot(limit):
  s = Spherical()
  n = int(math.ceil(math.sqrt((limit - 2) / 4)))
  azimuthal = 0.5 * math.pi / n
  for a in range(-n, n + 1):
    s.polar = 0
    size = (n - abs(a)) * 4 or 1
    polar = 2 * math.pi / size
    for i in range(size):
      yield s.toCartesian()
      s.polar += polar
    s.azimuthal += azimuthal
for point in splot(input('')):
  print("%f %f %f" % point)