Volumes of spheres of radius 1 in higher dimensions

sphere-vol.py

from math import tau
import matplotlib.pyplot as plt

n_max = 20
sphere_vols = [2, tau]
for n in range(3, n_max + 1):
    sphere_vols.append(sphere_vols[n-2] * tau / (n-2))


plt.plot(range(1, n_max + 1), sphere_vols, "o")
plt.title("Volumes of spheres of radius 1 in higher dimensions")
plt.xlabel("n")
plt.show()