Posted: Fri Feb 06, 2009 4:43 am
Below is the OFF file that I started with - it generates a polychoron with 8 congruent corners - (the same corners as the 8 - 2 step prism), I used a drawing of an octagon to find sets of tetrahedra (complete tetragons in the octagon) that would fully connect and close - this is how I developped the face and cell list. The polychoron that the off file generates is a starry one - looks quite cool (so does it's dual). The dual of the convex hull is the 8-2 step tegum.
4OFF
8 32 24 16
0.0 1.0 0.0 1.0
0.70710678118654752 0.70710678118654752 1.0 0.0
1.0 0.0 0.0 -1.0
0.70710678118654752 -0.70710678118654752 -1.0 0.0
0.0 -1.0 0.0 1.0
-0.70710678118654752 -0.70710678118654752 1.0 0.0
-1.0 0.0 0.0 -1.0
-0.70710678118654752 0.70710678118654752 -1.0 0.0
3 7 0 1
3 0 1 2
3 1 2 3
3 2 3 4
3 3 4 5
3 4 5 6
3 5 6 7
3 6 7 0
3 2 7 0
3 3 0 1
3 4 1 2
3 5 2 3
3 6 3 4
3 7 4 5
3 0 5 6
3 1 6 7
3 0 1 6
3 1 2 7
3 2 3 0
3 3 4 1
3 4 5 2
3 5 6 3
3 6 7 4
3 7 0 5
3 5 0 3
3 6 1 4
3 7 2 5
3 0 3 6
3 1 4 7
3 2 5 0
3 3 6 1
3 4 7 2
4 0 1 8 17 255 0 0
4 1 2 9 18 255 0 0
4 2 3 10 19 255 0 0
4 3 4 11 20 255 0 0
4 4 5 12 21 255 0 0
4 5 6 13 22 255 0 0
4 6 7 14 23 255 0 0
4 7 0 15 16 255 0 0
4 10 17 28 31 255 255 0
4 11 18 29 24 255 255 0
4 12 19 30 25 255 255 0
4 13 20 31 26 255 255 0
4 14 21 24 27 255 255 0
4 15 22 25 28 255 255 0
4 8 23 26 29 255 255 0
4 9 16 27 30 255 255 0
4OFF
8 32 24 16
0.0 1.0 0.0 1.0
0.70710678118654752 0.70710678118654752 1.0 0.0
1.0 0.0 0.0 -1.0
0.70710678118654752 -0.70710678118654752 -1.0 0.0
0.0 -1.0 0.0 1.0
-0.70710678118654752 -0.70710678118654752 1.0 0.0
-1.0 0.0 0.0 -1.0
-0.70710678118654752 0.70710678118654752 -1.0 0.0
3 7 0 1
3 0 1 2
3 1 2 3
3 2 3 4
3 3 4 5
3 4 5 6
3 5 6 7
3 6 7 0
3 2 7 0
3 3 0 1
3 4 1 2
3 5 2 3
3 6 3 4
3 7 4 5
3 0 5 6
3 1 6 7
3 0 1 6
3 1 2 7
3 2 3 0
3 3 4 1
3 4 5 2
3 5 6 3
3 6 7 4
3 7 0 5
3 5 0 3
3 6 1 4
3 7 2 5
3 0 3 6
3 1 4 7
3 2 5 0
3 3 6 1
3 4 7 2
4 0 1 8 17 255 0 0
4 1 2 9 18 255 0 0
4 2 3 10 19 255 0 0
4 3 4 11 20 255 0 0
4 4 5 12 21 255 0 0
4 5 6 13 22 255 0 0
4 6 7 14 23 255 0 0
4 7 0 15 16 255 0 0
4 10 17 28 31 255 255 0
4 11 18 29 24 255 255 0
4 12 19 30 25 255 255 0
4 13 20 31 26 255 255 0
4 14 21 24 27 255 255 0
4 15 22 25 28 255 255 0
4 8 23 26 29 255 255 0
4 9 16 27 30 255 255 0