Acronym | rinnip |
Name | rectified-penteract prism |
Circumradius | 3/2 = 1.5 |
Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 1/2) & all permutations in all but last coord., all changes of sign |
Volume | 119 sqrt(2)/30 = 5.609714 |
Face vector | 160, 720, 1120, 800, 284, 44 |
Confer |
|
Incidence matrix according to Dynkin symbol
x o3o3o3x4o . . . . . . | 160 | 1 8 | 8 12 4 | 12 4 8 6 | 8 6 2 4 | 2 4 1 ------------+-----+--------+-------------+---------------+--------------+-------- x . . . . . | 2 | 80 * | 8 0 0 | 12 4 0 0 | 8 6 0 0 | 2 4 0 . . . . x . | 2 | * 640 | 1 3 1 | 3 1 3 3 | 3 3 1 3 | 1 3 1 ------------+-----+--------+-------------+---------------+--------------+-------- x . . . x . | 4 | 2 2 | 320 * * | 3 1 0 0 | 3 3 0 0 | 1 3 0 . . . o3x . | 3 | 0 3 | * 640 * | 1 0 2 1 | 2 1 1 2 | 1 2 1 . . . . x4o | 4 | 0 4 | * * 160 | 0 1 0 3 | 0 3 0 3 | 0 3 1 ------------+-----+--------+-------------+---------------+--------------+-------- x . . o3x . ♦ 6 | 3 6 | 3 2 0 | 320 * * * | 2 1 0 0 | 1 2 0 x . . . x4o ♦ 8 | 4 8 | 4 0 2 | * 80 * * | 0 3 0 0 | 0 3 0 . . o3o3x . ♦ 4 | 0 6 | 0 4 0 | * * 320 * | 1 0 1 1 | 1 1 1 . . . o3x4o ♦ 12 | 0 24 | 0 8 6 | * * * 80 | 0 1 0 2 | 0 2 1 ------------+-----+--------+-------------+---------------+--------------+-------- x . o3o3x . ♦ 8 | 4 12 | 6 8 0 | 4 0 2 0 | 160 * * * | 1 1 0 x . . o3x4o ♦ 24 | 12 48 | 24 16 12 | 8 6 0 2 | * 40 * * | 0 2 0 . o3o3o3x . ♦ 5 | 0 10 | 0 10 0 | 0 0 5 0 | * * 64 * | 1 0 1 . . o3o3x4o ♦ 32 | 0 96 | 0 64 24 | 0 0 16 8 | * * * 20 | 0 1 1 ------------+-----+--------+-------------+---------------+--------------+-------- x o3o3o3x . ♦ 10 | 5 20 | 10 20 0 | 10 0 10 0 | 5 0 2 0 | 32 * * x . o3o3x4o ♦ 64 | 32 192 | 96 128 48 | 64 24 32 16 | 16 8 0 2 | * 10 * . o3o3o3x4o ♦ 80 | 0 320 | 0 320 80 | 0 0 160 40 | 0 0 32 10 | * * 2
© 2004-2024 | top of page |