#
# Four-dimensional polytope Hilbert calls the 24-cell.
#
# 24 points forming 24 tetrahedra.
#
# As you can see below, this is just the 8-cell and 16-cell together.
#
# Self-dual.
#
# group order: 1152
# 

24 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

1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1

-1 0 0 0
0 -1 0 0
0 0 -1 0
0 0 0 -1

# topeviewer:  (1, 0, 0, 0) (1, 0, 0, 0) 1 0 0.99399999999999999 1.0032000000000001 0.014999999999999999 0 100 0.035000000000000003 0 100 5 1 45 
# topeviewer:  (0.00066847598645836115, -0.92464363574981689, 0.38083291053771973, 0.00017167627811431885) (0.6534159779548645, -0.65418541431427002, 0.26955214142799377, -0.2691294252872467) 1 0 0.99399999999999999 1.0032000000000001 0.014999999999999999 0 100 0.035000000000000003 0 100 5 1 45