| Acronym | ratip |
| Name | rectified-triacontiditeron prism |
| Circumradius | sqrt(5)/2 = 1.118034 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 0, 0, 0, 1/2) & all permutations in all but last coord., all changes of sign |
| Face vector | 80, 520, 1040, 880, 324, 44 |
| Confer |
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Incidence matrix according to Dynkin symbol
x o3x3o3o4o . . . . . . | 80 | 1 12 | 12 6 24 | 6 24 12 16 | 12 16 8 2 | 8 2 1 ------------+----+--------+-------------+----------------+--------------+-------- x . . . . . | 2 | 40 * ♦ 12 0 0 | 6 24 0 0 | 12 16 0 0 | 8 2 0 . . x . . . | 2 | * 480 | 1 1 4 | 1 4 4 4 | 4 4 4 1 | 4 1 1 ------------+----+--------+-------------+----------------+--------------+-------- x . x . . . | 4 | 2 2 | 240 * * | 1 4 0 0 | 4 4 0 0 | 4 1 0 . o3x . . . | 3 | 0 3 | * 160 * | 1 0 4 0 | 4 0 4 0 | 4 0 1 . . x3o . . | 3 | 0 3 | * * 640 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ------------+----+--------+-------------+----------------+--------------+-------- x o3x . . . ♦ 6 | 3 6 | 3 2 0 | 80 * * * | 4 0 0 0 | 4 0 0 x . x3o . . ♦ 6 | 3 6 | 3 0 2 | * 320 * * | 1 2 0 0 | 2 1 0 . o3x3o . . ♦ 6 | 0 12 | 0 4 4 | * * 160 * | 1 0 2 0 | 2 0 1 . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * * 320 | 0 1 1 1 | 1 1 1 ------------+----+--------+-------------+----------------+--------------+-------- x o3x3o . . ♦ 12 | 6 24 | 12 8 8 | 4 4 2 0 | 80 * * * | 2 0 0 x . x3o3o . ♦ 8 | 4 12 | 6 0 8 | 0 4 0 2 | * 160 * * | 1 1 0 . o3x3o3o . ♦ 10 | 0 30 | 0 10 20 | 0 0 5 5 | * * 64 * | 1 0 1 . . x3o3o4o ♦ 8 | 0 24 | 0 0 32 | 0 0 0 16 | * * * 20 | 0 1 1 ------------+----+--------+-------------+----------------+--------------+-------- x o3x3o3o . ♦ 20 | 10 60 | 30 20 40 | 10 20 10 10 | 5 5 2 0 | 32 * * x . x3o3o4o ♦ 16 | 8 48 | 24 0 64 | 0 32 0 32 | 0 16 0 2 | * 10 * . o3x3o3o4o ♦ 40 | 0 240 | 0 80 320 | 0 0 80 160 | 0 0 32 10 | * * 2
x o3o3o *c3x3o . . . . . . | 80 | 1 12 | 12 24 6 | 24 6 8 8 12 | 8 8 12 2 4 4 | 2 4 4 1 ---------------+----+--------+-------------+--------------------+-------------------+----------- x . . . . . | 2 | 40 * ♦ 12 0 0 | 24 6 0 0 0 | 8 8 12 0 0 0 | 2 4 4 0 . . . . x . | 2 | * 480 | 1 4 1 | 4 1 2 2 4 | 2 2 4 1 2 2 | 1 2 2 1 ---------------+----+--------+-------------+--------------------+-------------------+----------- x . . . x . | 4 | 2 2 | 240 * * | 4 1 0 0 0 | 2 2 4 0 0 0 | 1 2 2 0 . . o . *c3x . | 3 | 0 3 | * 640 * | 1 0 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 . . . . x3o | 3 | 0 2 | * * 160 | 0 1 0 0 4 | 0 0 4 0 2 2 | 0 2 2 1 ---------------+----+--------+-------------+--------------------+-------------------+----------- x . o . *c3x . ♦ 6 | 3 6 | 3 2 0 | 320 * * * * | 1 1 1 0 0 0 | 1 1 1 0 x . . . x3o ♦ 6 | 3 6 | 3 0 2 | * 80 * * * | 0 0 4 0 0 0 | 0 2 2 0 . o3o . *c3x . ♦ 4 | 0 6 | 0 4 0 | * * 160 * * | 1 0 0 1 1 0 | 1 1 0 1 . . o3o *c3x . ♦ 4 | 0 6 | 0 4 0 | * * * 160 * | 0 1 0 1 0 1 | 1 0 1 1 . . o . *c3x3o ♦ 6 | 0 12 | 0 4 4 | * * * * 160 | 0 0 1 0 1 1 | 0 1 1 1 ---------------+----+--------+-------------+--------------------+-------------------+----------- x o3o . *c3x . ♦ 8 | 4 12 | 6 8 0 | 4 0 2 0 0 | 80 * * * * * | 1 1 0 0 x . o3o *c3x . ♦ 8 | 4 12 | 6 8 0 | 4 0 0 2 0 | * 80 * * * * | 1 0 1 0 x . o . *c3x3o ♦ 12 | 6 24 | 12 8 8 | 4 4 0 0 2 | * * 80 * * * | 0 1 1 0 . o3o3o *c3x . ♦ 8 | 0 24 | 0 32 0 | 0 0 8 8 0 | * * * 20 * * | 1 0 0 1 . o3o . *c3x3o ♦ 10 | 0 30 | 0 20 10 | 0 0 5 0 5 | * * * * 32 * | 0 1 0 1 . . o3o *c3x3o ♦ 10 | 0 30 | 0 20 10 | 0 0 0 5 5 | * * * * * 32 | 0 0 1 1 ---------------+----+--------+-------------+--------------------+-------------------+----------- x o3o3o *c3x . ♦ 16 | 8 48 | 24 64 0 | 32 0 16 16 0 | 8 8 0 2 0 0 | 10 * * * x o3o . *c3x3o ♦ 20 | 10 60 | 30 40 20 | 20 10 10 0 10 | 5 0 5 0 2 0 | * 16 * * x . o3o *c3x3o ♦ 20 | 10 60 | 30 40 20 | 20 10 0 10 10 | 0 5 5 0 0 2 | * * 16 * . o3o3o *c3x3o ♦ 40 | 0 240 | 0 320 80 | 0 0 80 80 80 | 0 0 0 10 16 16 | * * * 2
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