Dodecahedron Star

One of the platonic solids with the surface depressions accentuated using a monotonically increasing Lab colormap.

The overall geometric shape was further intensified by shading and highlighting the surface.

import numpy as np
import matplotlib.pyplot as plt
import s3dlib.surface as s3d
from s3dlib.cmap_xtra import Lab_cmap_gradient

#.. Dodecahedron star burst

# 1. Define functions to examine ....................................

def burst(rtp) :
    r,t,p = rtp
    return np.power(r,10)+0.25, t,p

# 2. Setup and map surfaces .........................................
rez,illum = 7, [1,-0.25,0.25]
cmap = Lab_cmap_gradient('magenta','crimson',name='mag_crim')

surface = s3d.SphericalSurface.platonic(rez,'dodeca',cmap=cmap)
surface.map_cmap_from_op(lambda rtp : rtp[0])
surface.map_geom_from_op(burst)

# 3. Construct figure, add surfaces, and plot ......................
minmax=(-.8,0.8)
fig = plt.figure(figsize=plt.figaspect(1))
fig.text(0.975,0.975, str(surface), ha='right', va='top', fontsize='small')
ax = plt.axes(projection='3d', aspect='equal')
ax.set(xlim=minmax, ylim=minmax, zlim=minmax)
ax.view_init(elev=-5, azim=-50)
ax.set_axis_off()

ax.add_collection3d(surface.shade(0.3,direction=illum).hilite(.5,direction=illum))

fig.tight_layout()
plt.show()