| Acronym | idprahi |
| Name | icositetra-diminished prismatorhombated hecatonicosachoron |
| Circumradius | sqrt[35+15 sqrt(5)] = 8.278950 |
| Face vector | 4320, 9360, 6192, 1152 |
| Confer |
|
In the same way, as sadi was derived as an icositetrachoral diminishing of ex, idprahi can be derived as an icositetrachoral diminishing of prahi. The fundamental domain of sadi (i.e. titdi, the dual of teddi), which there clearly encompasses just a single vertex, here would encompass a complete srid. Here the pentagons of this srid will lie completely inside from the face planes of the dodecahedral kernel of that domain (in order to give rise of the pips of prahi). Therefore idprahi clearly is no longer uniform (as weren't lots of the Johnson solids neither).
Sadi was diminished at 24 vertices. Idprahi accordingly will be diminished at 24 srids. In fact 24 bistratic srid-caps will be chopped off. Any individual of those clearly is a srid-grid-tutsatope. This results in several other srids, which get diminished into tedrid here.
Corresponding to the 3-fold symmetry of that domain we call the vertices of srid as A, ..., L along its 3-fold axis. The other elements of idprahi then can be classified accordingly, as given below. The srid vertices C, E, and G then would be chopped off, as those get eaten by the grids, which are to be placed around the tips of the domain. This is how the srids become tedrids. All the remaining vertex types then are placed slightly underneath the boundary of the used fundamental domain. By external symmetry (connection of those domains) one further derives the infos required for the cross-boundary edges, mentioned below by primes.
288 * * * * * * * * | 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0 0 0 A * 576 * * * * * * * | 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 1 0 0 0 0 B * * 576 * * * * * * | 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 1 0 0 0 D * * * 576 * * * * * | 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 1 0 0 0 F * * * * 576 * * * * | 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 1 0 0 0 0 H * * * * * 576 * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 1 0 1 0 1 0 1 0 0 I * * * * * * 288 * * | 0 0 1 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 | 0 0 2 0 2 0 0 0 0 0 0 1 2 0 0 0 1 0 0 0 0 0 | 1 1 2 1 0 0 0 0 0 J * * * * * * * 576 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 | 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 | 1 1 1 0 0 0 1 1 0 K * * * * * * * * 288 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 1 | 1 0 0 0 0 0 1 2 1 L ------------------------------------+-----------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------+------------------------------ 2 0 0 0 0 0 0 0 0 | 288 * * * * * * * * * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 AA 1 1 0 0 0 0 0 0 0 | * 576 * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 0 0 AB 1 0 0 0 0 0 1 0 0 | * * 288 * * * * * * * * * * * * * * * * * * * | 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0 0 AJ' 0 2 0 0 0 0 0 0 0 | * * * 288 * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 0 0 0 BB 0 1 1 0 0 0 0 0 0 | * * * * 576 * * * * * * * * * * * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 BD 0 1 0 0 1 0 0 0 0 | * * * * * 576 * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 0 BH' 0 0 2 0 0 0 0 0 0 | * * * * * * 288 * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 0 1 0 0 0 DD 0 0 1 1 0 0 0 0 0 | * * * * * * * 576 * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 1 1 0 0 0 DF 0 0 1 1 0 0 0 0 0 | * * * * * * * * 576 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 0 0 DF' 0 0 0 2 0 0 0 0 0 | * * * * * * * * * 288 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 0 1 0 0 0 FF 0 0 0 1 1 0 0 0 0 | * * * * * * * * * * 576 * * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 FH 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * 576 * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 0 0 0 HI 0 0 0 0 1 0 1 0 0 | * * * * * * * * * * * * 576 * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 0 0 HJ 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * 288 * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 0 0 0 1 0 1 0 0 II 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * 288 * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 | 0 0 1 0 1 0 1 0 0 II' 0 0 0 0 0 1 0 1 0 | * * * * * * * * * * * * * * * 576 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 | 1 0 1 0 0 0 1 0 0 IK 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * * * 576 * * * * * | 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 JK 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * 288 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 | 1 1 0 0 0 0 0 1 0 KK 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * * 288 * * * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 | 0 1 1 0 0 0 1 1 0 KK' 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * * 576 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 1 0 0 0 0 0 1 1 0 KL 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 | 1 0 0 0 0 0 0 1 1 LL 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * * 144 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 | 0 0 0 0 0 0 1 2 1 LL' ------------------------------------+-----------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------+------------------------------ 3 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 96 * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 AAA 2 2 0 0 0 0 0 0 0 | 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 288 * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 AABB 2 0 0 0 0 0 2 2 0 | 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 | * * 288 * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 AAJ'K'K"J" 1 2 2 0 0 0 0 0 0 | 0 2 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 288 * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 AABDB 1 1 0 0 1 0 1 0 0 | 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * 576 * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 ABH'J' 0 2 2 2 2 2 0 0 0 | 0 0 0 1 2 0 0 2 0 0 2 2 0 1 0 0 0 0 0 0 0 0 | * * * * * 288 * * * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 0 BBDFHIIHFD 0 2 0 0 2 2 0 0 0 | 0 0 0 1 0 2 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 | * * * * * * 288 * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 BBH'I'I"H" 0 1 1 1 1 0 0 0 0 | 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 576 * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 BDF'H' 0 0 2 2 0 0 0 0 0 | 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 288 * * * * * * * * * * * * * | 1 0 0 0 0 1 0 0 0 DDFF 0 0 2 2 0 0 0 0 0 | 0 0 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 288 * * * * * * * * * * * * | 0 0 0 1 0 1 0 0 0 DDF'F' 0 0 3 3 0 0 0 0 0 | 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * 192 * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 DFD'F'D"F" 0 0 0 2 2 0 1 0 0 | 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 288 * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 FFHJH 0 0 0 0 1 1 1 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 | * * * * * * * * * * * * 576 * * * * * * * * * | 1 0 1 0 0 0 0 0 0 HIKJ 0 0 0 0 0 4 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 144 * * * * * * * * | 0 0 0 0 1 0 1 0 0 III'I' 0 0 0 0 0 2 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 2 0 0 | * * * * * * * * * * * * * * 288 * * * * * * * | 1 0 0 0 0 0 1 0 0 IIKLK 0 0 0 0 0 2 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 0 0 0 | * * * * * * * * * * * * * * * 288 * * * * * * | 0 0 1 0 0 0 1 0 0 II'K'K 0 0 0 0 0 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 | * * * * * * * * * * * * * * * * 288 * * * * * | 1 1 0 0 0 0 0 0 0 JKK 0 0 0 0 0 0 0 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 | * * * * * * * * * * * * * * * * * 96 * * * * | 0 1 0 0 0 0 0 1 0 KKK'K'K"K" 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0 | * * * * * * * * * * * * * * * * * * 288 * * * | 1 0 0 0 0 0 0 1 0 KKLL 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * * * * * * * * * 288 * * | 0 0 0 0 0 0 1 1 0 KK'L'L 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * * * * * * 96 * | 0 0 0 0 0 0 0 1 1 LLL'L'L"L" 0 0 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * * * * * 96 | 1 0 0 0 0 0 0 0 1 LLL ------------------------------------+-----------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------+------------------------------ 3 6 6 6 6 6 3 6 3 | 3 6 0 3 6 0 3 6 0 3 6 6 6 3 0 6 6 3 0 6 3 0 | 1 3 0 3 0 3 0 0 3 0 0 3 6 0 3 0 3 0 3 0 0 1 | 96 * * * * * * * * tedrid 3 0 0 0 0 0 3 6 0 | 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 6 3 3 0 0 0 | 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0 0 0 0 | * 96 * * * * * * * tut 2 2 0 0 2 2 2 2 0 | 1 2 2 1 0 2 0 0 0 0 0 2 2 0 1 2 2 0 1 0 0 0 | 0 1 1 0 2 0 1 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 | * * 288 * * * * * * hip 1 2 2 2 2 0 1 0 0 | 0 2 1 0 2 2 1 0 2 1 2 0 2 0 0 0 0 0 0 0 0 0 | 0 0 0 1 2 0 0 2 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | * * * 288 * * * * * pip 0 24 24 24 24 24 0 0 0 | 0 0 0 12 24 24 0 24 24 0 24 24 0 12 12 0 0 0 0 0 0 0 | 0 0 0 0 0 12 12 24 0 0 8 0 0 6 0 0 0 0 0 0 0 0 | * * * * 24 * * * * grid 0 0 6 6 0 0 0 0 0 | 0 0 0 0 0 0 3 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 96 * * * hip 0 0 0 0 0 4 0 4 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 0 0 2 4 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 2 0 0 | * * * * * * 144 * * pip 0 0 0 0 0 0 0 6 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 6 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 | * * * * * * * 96 * hip 0 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * 24 tut A B D F H I J K L AA AB AJ' BB BD BH' DD DF DF' FF FH HI HJ II II' IK JK KK KK' KL LL LL'
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