| Acronym | ragip |
| Name | rectified-hexacontitetrapeton prism |
| Circumradius | sqrt(5)/2 = 1.118034 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 0; 1/2) & all permutations in the first 6 coords, all changes of sign |
| Volume | 29/45 = 0.644444 |
|
Dihedral angles
(at margins) | |
| Face vector | 120, 1020, 2720, 3520, 2352, 728, 78 |
| Confer |
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Incidence matrix according to Dynkin symbol
x o3x3o3o3o4o . . . . . . . | 120 | 1 16 | 16 8 48 | 8 48 24 64 | 24 64 32 32 | 32 32 16 2 | 16 2 1 --------------+-----+--------+--------------+------------------+-----------------+----------------+-------- x . . . . . . | 2 | 60 * ♦ 16 0 0 | 8 48 0 0 | 24 64 0 0 | 32 32 0 0 | 16 2 0 . . x . . . . | 2 | * 960 | 1 1 6 | 1 6 6 12 | 6 12 12 8 | 12 8 8 1 | 8 1 1 --------------+-----+--------+--------------+------------------+-----------------+----------------+-------- x . x . . . . | 4 | 2 2 | 480 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 0 | 8 1 0 . o3x . . . . | 3 | 0 3 | * 320 * | 1 0 6 0 | 6 0 12 0 | 12 0 8 0 | 8 0 1 . . x3o . . . | 3 | 0 3 | * * 1920 | 0 1 1 4 | 1 4 4 4 | 4 4 4 1 | 4 1 1 --------------+-----+--------+--------------+------------------+-----------------+----------------+-------- x o3x . . . . ♦ 6 | 3 6 | 3 2 0 | 160 * * * ♦ 6 0 0 0 | 12 0 0 0 | 8 0 0 x . x3o . . . ♦ 6 | 3 6 | 3 0 2 | * 960 * * | 1 4 0 0 | 4 4 0 0 | 4 1 0 . o3x3o . . . ♦ 6 | 0 12 | 0 4 4 | * * 480 * | 1 0 4 0 | 4 0 4 0 | 4 0 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 1920 | 0 1 1 2 | 1 2 2 1 | 2 1 1 --------------+-----+--------+--------------+------------------+-----------------+----------------+-------- x o3x3o . . . ♦ 12 | 6 24 | 12 8 8 | 4 4 2 0 | 240 * * * | 4 0 0 0 | 4 0 0 x . x3o3o . . ♦ 8 | 4 12 | 6 0 8 | 0 4 0 2 | * 960 * * | 1 2 0 0 | 2 1 0 . o3x3o3o . . ♦ 10 | 0 30 | 0 10 20 | 0 0 5 5 | * * 384 * | 1 0 2 0 | 2 0 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * 768 | 0 1 1 1 | 1 1 1 --------------+-----+--------+--------------+------------------+-----------------+----------------+-------- x o3x3o3o . . ♦ 20 | 10 60 | 30 20 40 | 10 20 10 10 | 5 5 2 0 | 192 * * * | 2 0 0 x . x3o3o3o . ♦ 10 | 5 20 | 10 0 20 | 0 10 0 10 | 0 5 0 2 | * 384 * * | 1 1 0 . o3x3o3o3o . ♦ 15 | 0 60 | 0 20 60 | 0 0 15 30 | 0 0 6 6 | * * 128 * | 1 0 1 . . x3o3o3o4o ♦ 10 | 0 40 | 0 0 80 | 0 0 0 80 | 0 0 0 32 | * * * 24 | 0 1 1 --------------+-----+--------+--------------+------------------+-----------------+----------------+-------- x o3x3o3o3o . ♦ 30 | 15 120 | 60 40 120 | 20 60 30 60 | 15 30 12 12 | 6 6 2 0 | 64 * * x . x3o3o3o4o ♦ 20 | 10 80 | 40 0 160 | 0 80 0 160 | 0 80 0 64 | 0 32 0 2 | * 12 * . o3x3o3o3o4o ♦ 60 | 0 480 | 0 160 960 | 0 0 240 960 | 0 0 192 384 | 0 0 64 12 | * * 2
x o3o3o *c3o3x3o . . . . . . . | 120 | 1 16 | 16 48 8 | 48 8 64 24 | 64 24 16 16 32 | 16 16 32 2 8 8 | 2 8 8 1 -----------------+-----+--------+--------------+------------------+---------------------+----------------------+----------- x . . . . . . | 2 | 60 * ♦ 16 0 0 | 48 8 0 0 | 64 24 0 0 0 | 16 16 32 0 0 0 | 2 8 8 0 . . . . . x . | 2 | * 960 | 1 6 1 | 6 1 12 6 | 12 6 4 4 12 | 4 4 12 1 4 4 | 1 4 4 1 -----------------+-----+--------+--------------+------------------+---------------------+----------------------+----------- x . . . . x . | 4 | 2 2 | 480 * * | 6 1 0 0 | 12 6 0 0 0 | 4 4 12 0 0 0 | 1 4 4 0 . . . . o3x . | 3 | 0 3 | * 1920 * | 1 0 4 1 | 4 1 2 2 4 | 2 2 4 1 2 2 | 1 2 2 1 . . . . . x3o | 3 | 0 3 | * * 320 | 0 1 0 6 | 0 6 0 0 12 | 0 0 12 0 4 4 | 0 4 4 1 -----------------+-----+--------+--------------+------------------+---------------------+----------------------+----------- x . . . o3x . ♦ 6 | 3 6 | 3 2 0 | 960 * * * | 4 1 0 0 0 | 2 2 4 0 0 0 | 1 2 2 0 x . . . . x3o ♦ 6 | 3 6 | 3 0 2 | * 160 * * ♦ 0 6 0 0 0 | 0 0 12 0 0 0 | 0 4 4 0 . . o . *c3o3x . ♦ 4 | 0 6 | 0 4 0 | * * 1920 * | 1 0 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 . . . . o3x3o ♦ 6 | 0 12 | 0 4 4 | * * * 480 | 0 1 0 0 4 | 0 0 4 0 2 2 | 0 2 2 1 -----------------+-----+--------+--------------+------------------+---------------------+----------------------+----------- x . o . *c3o3x . ♦ 8 | 4 12 | 6 8 0 | 4 0 2 0 | 960 * * * * | 1 1 1 0 0 0 | 1 1 1 0 x . . . o3x3o ♦ 12 | 6 24 | 12 8 8 | 4 4 0 2 | * 240 * * * | 0 0 4 0 0 0 | 0 2 2 0 . o3o . *c3o3x . ♦ 5 | 0 10 | 0 10 0 | 0 0 5 0 | * * 384 * * | 1 0 0 1 1 0 | 1 1 0 1 . . o3o *c3o3x . ♦ 5 | 0 10 | 0 10 0 | 0 0 5 0 | * * * 384 * | 0 1 0 1 0 1 | 1 0 1 1 . . o . *c3o3x3o ♦ 10 | 0 30 | 0 20 10 | 0 0 5 5 | * * * * 384 | 0 0 1 0 1 1 | 0 1 1 1 -----------------+-----+--------+--------------+------------------+---------------------+----------------------+----------- x o3o . *c3o3x . ♦ 10 | 5 20 | 10 20 0 | 10 0 10 0 | 5 0 2 0 0 | 192 * * * * * | 1 1 0 0 x . o3o *c3o3x . ♦ 10 | 5 20 | 10 20 0 | 10 0 10 0 | 5 0 0 2 0 | * 192 * * * * | 1 0 1 0 x . o . *c3o3x3o ♦ 20 | 10 60 | 30 40 20 | 20 10 10 10 | 5 5 0 0 2 | * * 192 * * * | 0 1 1 0 . o3o3o *c3o3x . ♦ 10 | 0 40 | 0 80 0 | 0 0 80 0 | 0 0 16 16 0 | * * * 24 * * | 1 0 0 1 . o3o . *c3o3x3o ♦ 15 | 0 60 | 0 60 20 | 0 0 30 15 | 0 0 6 0 6 | * * * * 64 * | 0 1 0 1 . . o3o *c3o3x3o ♦ 15 | 0 60 | 0 60 20 | 0 0 30 15 | 0 0 0 6 6 | * * * * * 64 | 0 0 1 1 -----------------+-----+--------+--------------+------------------+---------------------+----------------------+----------- x o3o3o *c3o3x . ♦ 20 | 10 80 | 40 160 0 | 80 0 160 0 | 80 0 32 32 0 | 16 16 0 2 0 0 | 12 * * * x o3o . *c3o3x3o ♦ 30 | 15 120 | 60 120 40 | 60 20 60 30 | 30 15 12 0 12 | 6 0 6 0 2 0 | * 32 * * x . o3o *c3o3x3o ♦ 30 | 15 120 | 60 120 40 | 60 20 60 30 | 30 15 0 12 12 | 0 6 6 0 0 2 | * * 32 * . o3o3o *c3o3x3o ♦ 60 | 0 480 | 0 960 160 | 0 0 960 240 | 0 0 192 192 192 | 0 0 0 12 32 32 | * * * 2
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