Acronym | nitip |
Name | penteractitriacontiditeron prism |
Circumradius | sqrt(7)/2 = 1.322876 |
Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 1/2) & all permutations in all but last coord., all changes of sign |
Face vector | 160, 1040, 1760, 1200, 364, 44 |
Confer |
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Incidence matrix according to Dynkin symbol
x o3o3x3o4o . . . . . . | 160 | 1 12 | 12 12 12 | 12 12 4 12 3 | 4 12 3 4 3 | 4 3 1 ------------+-----+--------+-------------+--------------------+-----------------+-------- x . . . . . | 2 | 80 * ♦ 12 0 0 | 12 12 0 0 0 | 4 12 3 0 0 | 4 3 0 . . . x . . | 2 | * 960 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ------------+-----+--------+-------------+--------------------+-----------------+-------- x . . x . . | 4 | 2 2 | 480 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . . o3x . . | 3 | 0 3 | * 640 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o . | 3 | 0 3 | * * 640 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ------------+-----+--------+-------------+--------------------+-----------------+-------- x . o3x . . ♦ 6 | 3 6 | 3 2 0 | 320 * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o . ♦ 6 | 3 6 | 3 0 2 | * 320 * * * | 0 2 1 0 0 | 1 2 0 . o3o3x . . ♦ 4 | 0 6 | 0 4 0 | * * 160 * * | 1 0 0 2 1 | 2 0 1 . . o3x3o . ♦ 6 | 0 12 | 0 4 4 | * * * 320 * | 0 1 0 1 1 | 1 1 1 . . . x3o4o ♦ 6 | 0 12 | 0 0 8 | * * * * 80 | 0 0 1 0 2 | 0 2 1 ------------+-----+--------+-------------+--------------------+-----------------+-------- x o3o3x . . ♦ 8 | 4 12 | 6 8 0 | 4 0 2 0 0 | 80 * * * * | 2 0 0 x . o3x3o . ♦ 12 | 6 24 | 12 8 8 | 4 4 0 2 0 | * 160 * * * | 1 1 0 x . . x3o4o ♦ 12 | 6 24 | 12 0 16 | 0 8 0 0 2 | * * 40 * * | 0 2 0 . o3o3x3o . ♦ 10 | 0 30 | 0 20 10 | 0 0 5 5 0 | * * * 64 * | 1 0 1 . . o3x3o4o ♦ 24 | 0 96 | 0 32 64 | 0 0 0 16 8 | * * * * 20 | 0 1 1 ------------+-----+--------+-------------+--------------------+-----------------+-------- x o3o3x3o . ♦ 20 | 10 60 | 30 40 20 | 20 10 10 10 0 | 5 5 0 2 0 | 32 * * x . o3x3o4o ♦ 48 | 24 192 | 96 64 128 | 32 64 0 32 16 | 0 16 8 0 2 | * 10 * . o3o3x3o4o ♦ 80 | 0 480 | 0 320 320 | 0 0 80 160 40 | 0 0 0 32 10 | * * 2
x o3x3o *c3o3o . . . . . . | 160 | 1 12 | 12 6 6 12 | 6 6 12 3 6 6 4 | 3 6 6 4 3 2 2 | 3 2 2 1 ---------------+-----+--------+-----------------+----------------------------+----------------------+----------- x . . . . . | 2 | 80 * ♦ 12 0 0 0 | 6 6 12 0 0 0 0 | 3 6 6 4 0 0 0 | 3 2 2 0 . . x . . . | 2 | * 960 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ---------------+-----+--------+-----------------+----------------------------+----------------------+----------- x . x . . . | 4 | 2 2 | 480 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . o3x . . . | 3 | 0 3 | * 320 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x3o . . | 3 | 0 3 | * * 320 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . x . *c3o . | 3 | 0 3 | * * * 640 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ---------------+-----+--------+-----------------+----------------------------+----------------------+----------- x o3x . . . ♦ 6 | 3 6 | 3 2 0 0 | 160 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x3o . . ♦ 6 | 3 6 | 3 0 2 0 | * 160 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . x . *c3o . ♦ 6 | 3 6 | 3 0 0 2 | * * 320 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . o3x3o . . ♦ 6 | 0 12 | 0 4 4 0 | * * * 80 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . o3x . *c3o . ♦ 6 | 0 12 | 0 4 0 4 | * * * * 160 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3o *c3o . ♦ 6 | 0 12 | 0 0 4 4 | * * * * * 160 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . x . *c3o3o ♦ 4 | 0 6 | 0 0 0 4 | * * * * * * 160 | 0 0 0 1 0 1 1 | 0 1 1 1 ---------------+-----+--------+-----------------+----------------------------+----------------------+----------- x o3x3o . . ♦ 12 | 6 24 | 12 8 8 0 | 4 4 0 2 0 0 0 | 40 * * * * * * | 2 0 0 0 x o3x . *c3o . ♦ 12 | 6 24 | 12 8 0 8 | 4 0 4 0 2 0 0 | * 80 * * * * * | 1 1 0 0 x . x3o *c3o . ♦ 12 | 6 24 | 12 0 8 8 | 0 4 4 0 0 2 0 | * * 80 * * * * | 1 0 1 0 x . x . *c3o3o ♦ 8 | 4 12 | 6 0 0 8 | 0 0 4 0 0 0 2 | * * * 80 * * * | 0 1 1 0 . o3x3o *c3o . ♦ 24 | 0 96 | 0 32 32 32 | 0 0 0 8 8 8 0 | * * * * 20 * * | 1 0 0 1 . o3x . *c3o3o ♦ 10 | 0 30 | 0 10 0 20 | 0 0 0 0 5 0 5 | * * * * * 32 * | 0 1 0 1 . . x3o *c3o3o ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 0 0 5 5 | * * * * * * 32 | 0 0 1 1 ---------------+-----+--------+-----------------+----------------------------+----------------------+----------- x o3x3o *c3o . ♦ 48 | 24 192 | 96 64 64 64 | 32 32 32 16 16 16 0 | 8 8 8 0 2 0 0 | 10 * * * x o3x . *c3o3o ♦ 20 | 10 60 | 30 20 0 40 | 10 0 20 0 10 0 10 | 0 5 0 5 0 2 0 | * 16 * * x . x3o *c3o3o ♦ 20 | 10 60 | 30 0 20 40 | 0 10 20 0 0 10 10 | 0 0 5 5 0 0 2 | * * 16 * . o3x3o *c3o3o ♦ 80 | 0 480 | 0 160 160 320 | 0 0 0 40 80 80 80 | 0 0 0 0 10 16 16 | * * * 2
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