Platonic Solids

Animation control:

Visualization	Frame Value
Surface geometry	constant
Surface position	fixed to the coordinate axis
Surface color	constant
Shading and highlighting	illumination direction per frame
Axis coordinate	azim per frame using view_init

When changing the axis coordinate, the cmap shading results in ‘stationary viewer’ perception. The view is rotated about multiple surface objects.

import copy
import numpy as np
from matplotlib import pyplot as plt
from matplotlib.animation import FuncAnimation
import s3dlib.surface as s3d
import s3dlib.cmap_utilities as cmu

#.. Relative to the Viewer Animation

# 0. Define animation control parameters ............................

totalTime, f_domain, numFrames = 9, (0.0,1.0), 90   # time in seconds
frames=np.linspace(*f_domain, numFrames, endpoint=False)
interval = int(1000.0*totalTime/numFrames)          # milliseconds

# 2. Setup surfaces and text ........................................
cmu.rgb_cmap_gradient([0.25,0.15,0],[1,.9,.75],'cardboard')
surfdata = [ ['tetra', [0,-2,0] ], ['octa', [2,1,0] ],
             ['icosa', [-2,1,0] ], ['cube', [0,0,2] ], ['dodeca', [0,0,-2] ] ]
view_elev, illum_dir = 33, [.5,1,.7]
start_f = 0

surface_set,surf_labels = [],[]
for data in surfdata :
    surface = s3d.SphericalSurface.platonic(basetype=data[0])
    surface.transform(translate=data[1])
    surface_set.append(surface)
    surf_labels.append( [ data[1][0], data[1][1], data[1][2] +1.3, data[0] ] )

# 3. Construct figure, add surfaces, and plot ......................

minmax = (-2,2)
fig = plt.figure(figsize=plt.figaspect(1))
ax = fig.add_subplot(111, projection='3d', aspect='equal')
ax.set(xlim=minmax, ylim=minmax, zlim=minmax)
for text in surf_labels : ax.text(*text,ha='center', va='center')
ax.set_axis_off()

azim = 360*start_f
ax.view_init(elev=view_elev, azim=azim)
illum = s3d.rtv(illum_dir, view_elev, azim)

for orig_surface in surface_set :
    surface = copy.copy(orig_surface)
    azim = 360*start_f
    illum = s3d.rtv(illum_dir, view_elev, azim)
    surface.map_cmap_from_normals( cmap='cardboard', direction=illum )
    ax.add_collection3d(surface)

fig.tight_layout(pad=0)
#plt.show()

# 4. Animation ======================================================

def update_fig(frame):
    azim = 360*frame
    ax.view_init( elev=view_elev, azim=azim )
    illum = s3d.rtv(illum_dir, view_elev, azim)

    for orig_surface in surface_set :
        surface = copy.copy(orig_surface)
        surface.map_cmap_from_normals( cmap='cardboard', direction=illum )
        ax.add_collection3d(surface)
    return

anim = FuncAnimation(fig, update_fig, frames, interval=interval, repeat=True)
anim.save('bases.html',writer='html')

msg = "saved {} frames, values: [{:.3f} to {:.3f}] @ {} milliseconds/frane"
print(msg.format(numFrames,np.min(frames),np.max(frames),interval))