from scipy import special def drumhead_height(n, k, distance, angle, t): kth_zero = special.jn_zeros(n, k)[-1] return np.cos(t) * np.cos(n*angle) * special.jn(n, distance*kth_zero) theta = np.r_[0:2*np.pi:50j] radius = np.r_[0:1:50j] x = np.array([r * np.cos(theta) for r in radius]) y = np.array([r * np.sin(theta) for r in radius]) z = np.array([drumhead_height(1, 1, r, theta, 0.5) for r in radius]) import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D from matplotlib import cm fig = plt.figure() ax = Axes3D(fig) ax.plot_surface(x, y, z, rstride=1, cstride=1, cmap=cm.jet) ax.set_xlabel('X') ax.set_ylabel('Y') ax.set_zlabel('Z') plt.show()