Animated Hypercube

Animation control:

Visualization	Frame Value
Surface geometry	displacement parameter per frame
Surface position	fixed to the coordinate axis
Surface color	constant
Shading and highlighting	fixed to the coordinate axis
Axis coordinate	constant

Based on the static plot from the Hypercube example with animation script added to the end.

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation
import s3dlib.surface as s3d
import matplotlib.colors as mc

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

totalTime, f_domain, numFrames = 6, (0.0,1.0), 60   # time in seconds
frames=np.linspace(*f_domain, numFrames, endpoint=False)
interval = int(1000.0*totalTime/numFrames)          # milliseconds

# 1. Define function to examine ....................................

# setup vertices ......
innerSize=0.5
backext = np.array( [ [-1,-1, 1], [-1, 1, 1], [-1, 1,-1], [-1,-1,-1] ] )
frntext = np.multiply(backext,[-1,1,1])
backinn = np.multiply(backext,innerSize)
frntinn = np.multiply(backinn,[-1,1,1])
temp = np.array([ backext, frntext, backinn, frntinn ])
v = np.reshape( temp,[-1,3])

# setup faces ......
extf = np.array([ [0,1,2,3], [1,2,6,5], [0,3,7,4], [4,7,6,5], [0,4,5,1], [3,2,6,7] ])
intf = np.add(extf,8)
edgf = [ [ 0, 8, 9, 1], [ 1, 9,13, 5], [ 5,13,12, 4], [ 4,12, 8, 0], 
         [ 3,11,10, 2], [ 2,10,14, 6], [ 6,14,15, 7], [ 7,15,11, 3], 
         [ 0, 3,11, 8], [ 1, 9,10, 2], [ 5, 6,14,13], [ 4,12,15, 7] ] 
f = np.concatenate((extf, intf, edgf), axis=0)

ti = np.array( [1,3,0,2] ) 
v_translate = np.reshape( temp[ti]-temp, [-1,3] ).T
trans_vertex  = lambda xyz,delta : xyz + delta*v_translate
frame_2_delta = lambda f: 0.5*(1-np.cos(f*np.pi))

# 2. Setup and map surface .........................................
color = mc.to_rgba('C0',0.2)

surface = s3d.Surface3DCollection(v,f,color=color)
surface.shade(0.5,direction= [1,1,1], isAbs=True)

# 3. Construct figure, add surface plot ............................

fig = plt.figure(figsize=plt.figaspect(1))
ax = plt.axes(projection='3d', aspect='equal')
minmax = (-1.2,1.2)
ax.set(xlim=minmax, ylim=minmax, zlim=minmax)
ax.set_title('4D-Hypercube\n'+str(surface))
ax.set_axis_off()
ax.view_init(20,-60)

ax.add_collection3d(surface)

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

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

def update_fig(frame):
    global surface
    surface.remove()
    surface = s3d.Surface3DCollection(v,f,color=color)
    delta = frame_2_delta(frame)
    surface.map_geom_from_op(lambda xyz : trans_vertex(xyz,delta) )
    surface.shade(0.5,direction= [1,1,1], isAbs=True)

    ax.add_collection3d(surface)
    return

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

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