Acronym | idsrix |
Name | icositetra-diminished small rhombated hexacosachoron |
Circumradius | sqrt[19+8 sqrt(5)] = 6.073594 |
Dihedral angles |
|
Face vector | 2880, 7920, 6192, 1152 |
Confer |
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In the same way, as sadi was derived as an icositetrachoral diminishing of ex, idsrix can be derived as an icositetrachoral diminishing of srix. The fundamental domain of sadi (i.e. the dual of teddi), which there clearly encompasses just a single vertex, here would encompass a complete id. Therefore idsrix clearly is no longer uniform (as weren't lots of the Johnson solids neither).
Sadi was diminished at 24 vertices. Idsrix accordingly will be diminished at 24 ids. In fact 24 id-first caps will be chopped off. Any individual of those clearly is an id || ti. This results in several co, which get halved into tricu here.
Corresponding to the 3-fold symmetry of that domain we call the vertices of id as A, ..., G along its 3-fold axis. The other elements of idsrix then can be classified accordingly, as given below. The prime denotes equivalent elements, mirrored at a domain face which is close to A. The hash is the same with respect to a domain face which is close to G. The remaining domain face mirror images are denoted by an asterisk.
A | 288 * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | 1 1 0 0 0 0 1 0 0 2 2 0 0 0 0 2 0 0 0 0 0 | 1 1 2 0 1 0 0 0 B | * 576 * * * * * | 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 | 0 1 1 1 1 1 0 0 C | * * 288 * * * * | 0 0 0 2 0 2 0 0 0 0 0 0 0 0 1 0 0 0 | 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 1 0 1 0 2 0 | 0 0 1 0 1 2 0 1 D | * * * 576 * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 | 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 | 0 0 0 1 1 1 1 1 E | * * * * 288 * * | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 | 0 0 0 2 0 0 0 0 1 0 0 0 0 0 4 0 1 0 1 0 0 | 0 0 0 2 1 0 2 0 F | * * * * * 576 * | 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 | 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 | 0 0 0 1 1 1 1 1 G | * * * * * * 288 | 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 0 | 0 0 0 0 1 1 0 1 0 0 0 2 0 2 0 0 0 0 2 0 0 | 0 1 0 2 1 1 0 0 --------+-----------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------- AA | 2 0 0 0 0 0 0 | 288 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0 0 0 AB | 1 1 0 0 0 0 0 | * 576 * * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 0 1 1 0 1 0 0 0 BB | 0 2 0 0 0 0 0 | * * 288 * * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | 0 1 0 1 1 0 0 0 BC | 0 1 1 0 0 0 0 | * * * 576 * * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 | 0 0 1 0 1 1 0 0 BD | 0 1 0 1 0 0 0 | * * * * 576 * * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 | 0 0 0 1 1 1 0 0 CD | 0 0 1 1 0 0 0 | * * * * * 576 * * * * * * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 | 0 0 0 0 1 1 0 1 DE | 0 0 0 1 1 0 0 | * * * * * * 576 * * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 | 0 0 0 1 1 0 1 0 DF | 0 0 0 1 0 1 0 | * * * * * * * 576 * * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 | 0 0 0 0 1 0 1 1 EF | 0 0 0 0 1 1 0 | * * * * * * * * 576 * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 | 0 0 0 1 1 0 1 0 FF | 0 0 0 0 0 2 0 | * * * * * * * * * 288 * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 | 0 0 0 0 1 1 0 1 FG | 0 0 0 0 0 1 1 | * * * * * * * * * * 576 * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 | 0 0 0 1 1 1 0 0 GG | 0 0 0 0 0 0 2 | * * * * * * * * * * * 288 * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 | 0 1 0 1 1 0 0 0 AA' | 2 0 0 0 0 0 0 | * * * * * * * * * * * * 288 * * * * * | 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 BB' | 0 2 0 0 0 0 0 | * * * * * * * * * * * * * 288 * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 CC' | 0 0 2 0 0 0 0 | * * * * * * * * * * * * * * 144 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 | 0 0 1 0 0 2 0 1 BB*&GG# | 0 1 0 0 0 0 1 | * * * * * * * * * * * * * * * 576 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 | 0 1 0 1 0 1 0 0 DD*&FF# | 0 0 0 1 0 1 0 | * * * * * * * * * * * * * * * * 576 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 | 0 0 0 1 0 1 1 1 EE*&EE# | 0 0 0 0 2 0 0 | * * * * * * * * * * * * * * * * * 288 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 | 0 0 0 1 0 0 2 0 --------+-----------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------- AAA | 3 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 96 * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 ABB | 1 2 0 0 0 0 0 | 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 288 * * * * * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 BCD | 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * 576 * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 DEF | 0 0 0 1 1 1 0 | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | * * * 576 * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 1 0 FFG | 0 0 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 | * * * * 288 * * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 GGG | 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 | * * * * * 96 * * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 A | 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 | * * * * * * 96 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 B&G | 0 2 0 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 | * * * * * * * 288 * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 E | 0 0 0 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * 96 * * * * * * * * * * * * | 0 0 0 0 0 0 2 0 AA | 4 0 0 0 0 0 0 | 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | * * * * * * * * * 144 * * * * * * * * * * * | 1 0 1 0 0 0 0 0 AB | 2 2 0 0 0 0 0 | 0 2 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * 288 * * * * * * * * * * | 0 1 1 0 0 0 0 0 BB&GG | 0 2 0 0 0 0 2 | 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 | * * * * * * * * * * * 288 * * * * * * * * * | 0 1 0 1 0 0 0 0 BC | 0 2 2 0 0 0 0 | 0 0 0 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * 288 * * * * * * * * | 0 0 1 0 0 1 0 0 BD&FG | 0 1 0 1 0 1 1 | 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 | * * * * * * * * * * * * * 576 * * * * * * * | 0 0 0 1 0 1 0 0 DE&EF | 0 0 0 1 2 1 0 | 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * 576 * * * * * * | 0 0 0 1 0 0 1 0 ABC | 2 2 1 0 0 0 0 | 1 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 288 * * * * * | 0 0 1 0 1 0 0 0 BDE | 0 2 0 2 1 0 0 | 0 0 1 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 288 * * * * | 0 0 0 1 1 0 0 0 CDF | 0 0 1 2 0 2 0 | 0 0 0 0 0 2 0 2 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 288 * * * | 0 0 0 0 1 0 0 1 EFG | 0 0 0 0 1 2 2 | 0 0 0 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 288 * * | 0 0 0 1 1 0 0 0 CD&FF | 0 0 2 2 0 2 0 | 0 0 0 0 0 2 0 0 0 1 0 0 0 0 1 0 2 0 | * * * * * * * * * * * * * * * * * * * 288 * | 0 0 0 0 0 1 0 1 DF | 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * * * * 192 | 0 0 0 0 0 0 1 1 --------+-----------------------------+-------------------------------------------------------------------------+---------------------------------------------------------------------------------+---------------------------- AAA ♦ 12 0 0 0 0 0 0 | 12 0 0 0 0 0 0 0 0 0 0 0 12 0 0 0 0 0 | 4 0 0 0 0 0 4 0 0 6 0 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * ABB&GGG ♦ 3 6 0 0 0 0 3 | 0 6 3 0 0 0 0 0 0 0 0 3 3 3 0 6 0 0 | 0 3 0 0 0 1 1 3 0 0 3 3 0 0 0 0 0 0 0 0 0 | * 96 * * * * * * ABC ♦ 4 4 2 0 0 0 0 | 2 4 0 4 0 0 0 0 0 0 0 0 2 2 1 0 0 0 | 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 2 0 0 0 0 0 | * * 144 * * * * * BDE&EFG ♦ 0 2 0 2 2 2 2 | 0 0 1 0 2 0 2 0 2 0 2 1 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 1 0 0 | * * * 288 * * * * id ♦ 3 6 3 6 3 6 3 | 3 6 3 6 6 6 6 6 6 3 6 3 0 0 0 0 0 0 | 1 3 6 6 3 1 0 0 0 0 0 0 0 0 0 3 3 3 3 0 0 | * * * * 96 * * * BCD&FFG ♦ 0 2 2 2 0 2 1 | 0 0 0 2 2 2 0 0 0 1 2 0 0 1 1 2 2 0 | 0 0 2 0 1 0 0 1 0 0 0 0 1 2 0 0 0 0 0 1 0 | * * * * * 288 * * DEF ♦ 0 0 0 3 3 3 0 | 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 3 3 | 0 0 0 3 0 0 0 0 1 0 0 0 0 0 3 0 0 0 0 0 1 | * * * * * * 192 * ti ♦ 0 0 12 24 0 24 0 | 0 0 0 0 0 24 0 24 0 12 0 0 0 0 6 0 24 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 12 8 | * * * * * * * 24
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