#
# Four-dimensional polytope Hilbert calls the 8-cell.
#
# 16 points forming 8 cubes.
#
# Its dual is the 16-cell, which is 8 points forming 16 octahedra.
#
# group order: 384
#

16 4

0.5 0.5 0.5 0.5
0.5 0.5 0.5 -0.5
0.5 0.5 -0.5 0.5
0.5 0.5 -0.5 -0.5
0.5 -0.5 0.5 0.5
0.5 -0.5 0.5 -0.5
0.5 -0.5 -0.5 0.5
0.5 -0.5 -0.5 -0.5

-0.5 0.5 0.5 0.5
-0.5 0.5 0.5 -0.5
-0.5 0.5 -0.5 0.5
-0.5 0.5 -0.5 -0.5
-0.5 -0.5 0.5 0.5
-0.5 -0.5 0.5 -0.5
-0.5 -0.5 -0.5 0.5
-0.5 -0.5 -0.5 -0.5


# topeviewer:  (1, 0, 0, 0) (1, 0, 0, 0) 1 0.25900000000000001 0.98999994039535522 1.0184 0.014999999999999999 0 100 0.035000000000000003 0 100 5 1 45 
# topeviewer:  (0.45689806342124939, -0.60883623361587524, 0.64837610721588135, -0.013075560331344604) (0.21919892728328705, 0.25641345977783203, 0.84925812482833862, -0.40615838766098022) 1 0.25900000000000001 0.98999994039535522 1.0184 0.014999999999999999 0 100 0.035000000000000003 0 100 5 1 45