| Acronym | forx |
| Name | facetorectified hexeract |
| Circumradius | sqrt(5/2) = 1.581139 |
|
Inradius wrt. hix | 5/sqrt(12) = 1.443376 |
|
Inradius wrt. tix | -sqrt(3)/2 = -0.866025 |
|
Inradius wrt. bittix | 1/sqrt(12) = 0.288675 |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Volume | 488/45 = 10.844444 |
| Surface | 256 sqrt(3) = 443.405007 |
| General of army | rax |
| Colonel of regiment | rax |
|
Dihedral angles
(at margins) | |
| Face vector | 192, 960, 1920, 1920, 960, 192 |
| Confer |
|
This polypeton could also be understood as a modwrap of cytaxh.
Forx has firns for pseudo facets.
Incidence matrix according to Dynkin symbol
x3x3o3o3o3o3/2*a . . . . . . | 192 | 5 5 | 20 10 10 | 30 30 10 10 | 20 30 20 5 5 | 5 10 10 5 1 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x . . . . . | 2 | 480 * | 4 4 0 | 6 12 6 0 | 4 12 12 4 0 | 1 4 6 4 1 0 . x . . . . | 2 | * 480 | 4 0 4 | 12 6 0 6 | 12 12 4 0 4 | 4 6 4 1 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x . . . . | 6 | 3 3 | 640 * * | 3 3 0 0 | 3 6 3 0 0 | 1 3 3 1 0 0 x . . . . o3/2*a | 3 | 3 0 | * 640 * | 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 0 . x3o . . . | 3 | 0 3 | * * 640 | 3 0 0 3 | 6 3 0 0 3 | 3 3 1 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o . . . ♦ 12 | 6 12 | 4 0 4 | 480 * * * | 2 2 0 0 0 | 1 2 1 0 0 0 x3x . . . o3/2*a ♦ 12 | 12 6 | 4 4 0 | * 480 * * | 0 2 2 0 0 | 0 1 2 1 0 0 x . . . o3o3/2*a ♦ 4 | 6 0 | 0 4 0 | * * 480 * | 0 0 2 2 0 | 0 0 1 2 1 0 . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 480 | 2 0 0 0 2 | 2 1 0 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o3o . . ♦ 20 | 10 30 | 10 0 20 | 5 0 0 5 | 192 * * * * | 1 1 0 0 0 0 x3x3o . . o3/2*a ♦ 30 | 30 30 | 20 10 10 | 5 5 0 0 | * 192 * * * | 0 1 1 0 0 0 x3x . . o3o3/2*a ♦ 20 | 30 10 | 10 20 0 | 0 5 5 0 | * * 192 * * | 0 0 1 1 0 0 x . . o3o3o3/2*a ♦ 5 | 10 0 | 0 10 0 | 0 0 5 0 | * * * 192 * | 0 0 0 1 1 0 . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * * 192 | 1 0 0 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o3o3o . ♦ 30 | 15 60 | 20 0 60 | 15 0 0 30 | 6 0 0 0 6 | 32 * * * * * x3x3o3o . o3/2*a ♦ 60 | 60 90 | 60 20 60 | 30 15 0 15 | 6 6 0 0 0 | * 32 * * * * x3x3o . o3o3/2*a ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 0 6 6 0 0 | * * 32 * * * x3x . o3o3o3/2*a ♦ 30 | 60 15 | 20 60 0 | 0 15 30 0 | 0 0 6 6 0 | * * * 32 * * x . o3o3o3o3/2*a ♦ 6 | 15 0 | 0 20 0 | 0 0 15 0 | 0 0 0 6 0 | * * * * 32 * . x3o3o3o3o ♦ 6 | 0 15 | 0 0 20 | 0 0 0 15 | 0 0 0 0 6 | * * * * * 32
or . . . . . . | 192 | 10 | 20 20 | 60 20 | 40 30 10 | 10 20 2 -------------------+-----+-----+----------+---------+-------------+--------- x . . . . . & | 2 | 960 | 4 4 | 18 6 | 16 12 4 | 5 10 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x . . . . | 6 | 6 | 640 * | 6 0 | 6 6 0 | 2 6 0 x . . . . o3/2*a & | 3 | 3 | * 1280 | 3 3 | 6 3 3 | 3 4 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o . . . & ♦ 12 | 18 | 4 4 | 960 * | 2 2 0 | 1 3 0 x . . . o3o3/2*a & ♦ 4 | 6 | 0 4 | * 960 | 2 0 2 | 2 1 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o3o . . & ♦ 20 | 40 | 10 20 | 5 5 | 384 * * | 1 1 0 x3x3o . . o3/2*a ♦ 30 | 60 | 20 20 | 10 0 | * 192 * | 0 2 0 x . . o3o3o3/2*a & ♦ 5 | 10 | 0 10 | 0 5 | * * 384 | 1 0 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o3o3o . & ♦ 30 | 75 | 20 60 | 15 30 | 6 0 6 | 64 * * x3x3o3o . o3/2*a & ♦ 60 | 150 | 60 80 | 45 15 | 6 6 0 | * 64 * x . o3o3o3o3/2*a & ♦ 6 | 15 | 0 20 | 0 15 | 0 0 6 | * * 64
x3x3o3o3o3/2o3*a . . . . . . | 192 | 5 5 | 20 10 10 | 30 30 10 10 | 20 30 20 5 5 | 5 10 10 5 1 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x . . . . . | 2 | 480 * | 4 4 0 | 6 12 6 0 | 4 12 12 4 0 | 1 4 6 4 1 0 . x . . . . | 2 | * 480 | 4 0 4 | 12 6 0 6 | 12 12 4 0 4 | 4 6 4 1 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x . . . . | 6 | 3 3 | 640 * * | 3 3 0 0 | 3 6 3 0 0 | 1 3 3 1 0 0 x . . . . o3*a | 3 | 3 0 | * 640 * | 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 0 . x3o . . . | 3 | 0 3 | * * 640 | 3 0 0 3 | 6 3 0 0 3 | 3 3 1 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o . . . ♦ 12 | 6 12 | 4 0 4 | 480 * * * | 2 2 0 0 0 | 1 2 1 0 0 0 x3x . . . o3*a ♦ 12 | 12 6 | 4 4 0 | * 480 * * | 0 2 2 0 0 | 0 1 2 1 0 0 x . . . o3/2o3*a ♦ 4 | 6 0 | 0 4 0 | * * 480 * | 0 0 2 2 0 | 0 0 1 2 1 0 . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 480 | 2 0 0 0 2 | 2 1 0 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o3o . . ♦ 20 | 10 30 | 10 0 20 | 5 0 0 5 | 192 * * * * | 1 1 0 0 0 0 x3x3o . . o3*a ♦ 30 | 30 30 | 20 10 10 | 5 5 0 0 | * 192 * * * | 0 1 1 0 0 0 x3x . . o3/2o3*a ♦ 20 | 30 10 | 10 20 0 | 0 5 5 0 | * * 192 * * | 0 0 1 1 0 0 x . . o3o3/2o3*a ♦ 5 | 10 0 | 0 10 0 | 0 0 5 0 | * * * 192 * | 0 0 0 1 1 0 . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * * 192 | 1 0 0 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o3o3o . ♦ 30 | 15 60 | 20 0 60 | 15 0 0 30 | 6 0 0 0 6 | 32 * * * * * x3x3o3o . o3*a ♦ 60 | 60 90 | 60 20 60 | 30 15 0 15 | 6 6 0 0 0 | * 32 * * * * x3x3o . o3/2o3*a ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 0 6 6 0 0 | * * 32 * * * x3x . o3o3/2o3*a ♦ 30 | 60 15 | 20 60 0 | 0 15 30 0 | 0 0 6 6 0 | * * * 32 * * x . o3o3o3/2o3*a ♦ 6 | 15 0 | 0 20 0 | 0 0 15 0 | 0 0 0 6 0 | * * * * 32 * . x3o3o3o3/2o ♦ 6 | 0 15 | 0 0 20 | 0 0 0 15 | 0 0 0 0 6 | * * * * * 32
or . . . . . . | 192 | 10 | 20 20 | 60 20 | 40 30 10 | 10 20 2 -------------------+-----+-----+----------+---------+-------------+--------- x . . . . . & | 2 | 960 | 4 4 | 18 6 | 16 12 4 | 5 10 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x . . . . | 6 | 6 | 640 * | 6 0 | 6 6 0 | 2 6 0 x . . . . o3*a & | 3 | 3 | * 1280 | 3 3 | 6 3 3 | 3 4 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o . . . & ♦ 12 | 18 | 4 4 | 960 * | 2 2 0 | 1 3 0 x . . . o3/2o3*a & ♦ 4 | 6 | 0 4 | * 960 | 2 0 2 | 2 1 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o3o . . & ♦ 20 | 40 | 10 20 | 5 5 | 384 * * | 1 1 0 x3x3o . . o3*a ♦ 30 | 60 | 20 20 | 10 0 | * 192 * | 0 2 0 x . . o3o3/2o3*a & ♦ 5 | 10 | 0 10 | 0 5 | * * 384 | 1 0 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o3o3o . & ♦ 30 | 75 | 20 60 | 15 30 | 6 0 6 | 64 * * x3x3o3o . o3*a & ♦ 60 | 150 | 60 80 | 45 15 | 6 6 0 | * 64 * x . o3o3o3/2o3*a & ♦ 6 | 15 | 0 20 | 0 15 | 0 0 6 | * * 64
x3x3o3o3/2o3o3*a . . . . . . | 192 | 5 5 | 20 10 10 | 30 30 10 10 | 20 30 20 5 5 | 5 10 10 5 1 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x . . . . . | 2 | 480 * | 4 4 0 | 6 12 6 0 | 4 12 12 4 0 | 1 4 6 4 1 0 . x . . . . | 2 | * 480 | 4 0 4 | 12 6 0 6 | 12 12 4 0 4 | 4 6 4 1 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x . . . . | 6 | 3 3 | 640 * * | 3 3 0 0 | 3 6 3 0 0 | 1 3 3 1 0 0 x . . . . o3*a | 3 | 3 0 | * 640 * | 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 0 . x3o . . . | 3 | 0 3 | * * 640 | 3 0 0 3 | 6 3 0 0 3 | 3 3 1 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o . . . ♦ 12 | 6 12 | 4 0 4 | 480 * * * | 2 2 0 0 0 | 1 2 1 0 0 0 x3x . . . o3*a ♦ 12 | 12 6 | 4 4 0 | * 480 * * | 0 2 2 0 0 | 0 1 2 1 0 0 x . . . o3o3*a ♦ 4 | 6 0 | 0 4 0 | * * 480 * | 0 0 2 2 0 | 0 0 1 2 1 0 . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 480 | 2 0 0 0 2 | 2 1 0 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o3o . . ♦ 20 | 10 30 | 10 0 20 | 5 0 0 5 | 192 * * * * | 1 1 0 0 0 0 x3x3o . . o3*a ♦ 30 | 30 30 | 20 10 10 | 5 5 0 0 | * 192 * * * | 0 1 1 0 0 0 x3x . . o3o3*a ♦ 20 | 30 10 | 10 20 0 | 0 5 5 0 | * * 192 * * | 0 0 1 1 0 0 x . . o3/2o3o3*a ♦ 5 | 10 0 | 0 10 0 | 0 0 5 0 | * * * 192 * | 0 0 0 1 1 0 . x3o3o3/2o . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * * 192 | 1 0 0 0 0 1 -----------------+-----+---------+-------------+-----------------+---------------------+------------------ x3x3o3o3/2o . ♦ 30 | 15 60 | 20 0 60 | 15 0 0 30 | 6 0 0 0 6 | 32 * * * * * x3x3o3o . o3*a ♦ 60 | 60 90 | 60 20 60 | 30 15 0 15 | 6 6 0 0 0 | * 32 * * * * x3x3o . o3o3*a ♦ 60 | 90 60 | 60 60 20 | 15 30 15 0 | 0 6 6 0 0 | * * 32 * * * x3x . o3/2o3o3*a ♦ 30 | 60 15 | 20 60 0 | 0 15 30 0 | 0 0 6 6 0 | * * * 32 * * x . o3o3/2o3o3*a ♦ 6 | 15 0 | 0 20 0 | 0 0 15 0 | 0 0 0 6 0 | * * * * 32 * . x3o3o3/2o3o ♦ 6 | 0 15 | 0 0 20 | 0 0 0 15 | 0 0 0 0 6 | * * * * * 32
or . . . . . . | 192 | 10 | 20 20 | 60 20 | 40 30 10 | 10 20 2 -------------------+-----+-----+----------+---------+-------------+--------- x . . . . . & | 2 | 960 | 4 4 | 18 6 | 16 12 4 | 5 10 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x . . . . | 6 | 6 | 640 * | 6 0 | 6 6 0 | 2 6 0 x . . . . o3*a & | 3 | 3 | * 1280 | 3 3 | 6 3 3 | 3 4 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o . . . & ♦ 12 | 18 | 4 4 | 960 * | 2 2 0 | 1 3 0 x . . . o3o3*a & ♦ 4 | 6 | 0 4 | * 960 | 2 0 2 | 2 1 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o3o . . & ♦ 20 | 40 | 10 20 | 5 5 | 384 * * | 1 1 0 x3x3o . . o3*a ♦ 30 | 60 | 20 20 | 10 0 | * 192 * | 0 2 0 x . . o3/2o3o3*a & ♦ 5 | 10 | 0 10 | 0 5 | * * 384 | 1 0 1 -------------------+-----+-----+----------+---------+-------------+--------- x3x3o3o3/2o . & ♦ 30 | 75 | 20 60 | 15 30 | 6 0 6 | 64 * * x3x3o3o . o3*a & ♦ 60 | 150 | 60 80 | 45 15 | 6 6 0 | * 64 * x . o3o3/2o3o3*a & ♦ 6 | 15 | 0 20 | 0 15 | 0 0 6 | * * 64
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