Acronym | ... |
Name | tetrahedral - hexagon-prismantiprismoid |
Circumradius | ... |
Face vector | 48, 192, 308, 204, 42 |
Confer |
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External links |
This isogonal polyteron is obtained by hemiation of twacube. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.
Incidence matrix according to Dynkin symbol
s6x2o3o4s demi( . . . . . ) | 48 | 1 3 3 1 | 1 3 6 9 3 | 3 3 1 9 4 3 | 3 1 1 4 ------------------+----+-------------+----------------+-------------------+--------- demi( . x . . . ) | 2 | 24 * * * | 1 3 3 0 0 | 3 0 0 6 0 3 | 3 0 1 3 x s . 2 . s | 2 | * 72 * * | 0 0 2 4 0 | 1 2 0 4 2 0 | 2 1 0 2 q . . . o4s | 2 | * * 72 * | 0 1 0 2 2 | 0 1 1 2 2 2 | 1 1 1 2 q sefa( s6x . . . ) | 2 | * * * 24 | 1 0 3 0 0 | 3 0 0 3 0 0 | 3 0 0 1 e = 1+sqrt(3) ------------------+----+-------------+----------------+-------------------+--------- s6x . . . | 6 | 3 0 0 3 | 8 * * * * | 3 0 0 0 0 0 | 3 0 0 0 x3e . x 2 o4s | 4 | 2 0 2 0 | * 36 * * * | 0 0 0 2 0 2 | 1 0 1 2 x2q sefa( s6x 2 . s ) | 4 | 1 2 0 1 | * * 72 * * | 1 0 0 2 0 0 | 2 0 0 1 xe&#q sefa( s . 2 o4s ) | 3 | 0 2 1 0 | * * * 144 * | 0 1 0 1 1 0 | 1 1 0 1 q3o sefa( . . o3o4s ) | 3 | 0 0 3 0 | * * * * 48 | 0 0 1 0 1 1 | 0 1 1 1 q3o ------------------+----+-------------+----------------+-------------------+--------- s6x 2 . s | 12 | 6 6 0 6 | 2 0 6 0 0 | 12 * * * * * | 2 0 0 0 xe2ex&#q (ditra) s . 2 o4s | 4 | 0 4 2 0 | 0 0 0 4 0 | * 36 * * * * | 1 1 0 0 q-tet . . o3o4s | 4 | 0 0 6 0 | 0 0 0 0 4 | * * 12 * * * | 0 1 1 0 q-tet sefa( s6x 2 o4s ) | 6 | 2 4 2 1 | 0 1 2 2 0 | * * * 72 * * | 1 0 0 1 ex2oq&#q (wedge-like trip variant) sefa( s 2 o3o4s ) | 4 | 0 3 3 0 | 0 0 0 3 1 | * * * * 48 * | 0 1 0 1 q-tet sefa( . x2o3o4s ) | 6 | 3 0 6 0 | 0 3 0 0 2 | * * * * * 24 | 0 0 1 1 x q3o (trip variant) ------------------+----+-------------+----------------+-------------------+--------- s6x 2 o4s | 24 | 12 24 12 12 | 4 6 24 24 0 | 4 6 0 12 0 0 | 6 * * * 2-6 prismantiprismoid s 2 o3o4s | 8 | 0 12 12 0 | 0 0 0 24 8 | 0 6 2 0 8 0 | * 6 * * q-hex . x2o3o4s | 8 | 4 0 12 0 | 0 6 0 0 8 | 0 0 2 0 0 4 | * * 6 * x q3o3o (tepe variant) sefa( s6x2o3o4s ) | 8 | 3 6 6 1 | 0 3 3 6 2 | 0 0 0 3 2 1 | * * * 24 ex2oq3oo&#q (tepe variant) starting figure: x6x o3o4x
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