Acronym | idimsrahi |
Name | icosa-diminished small rhombated hecatonicosachoron |
Circumradius | sqrt[23+10 sqrt(5)] = 6.735034 |
Face vector | 2400, 6000, 4520, 920 |
Confer |
|
In the same way, as idimex was derived as a spid-wise diminishing of ex, idimsrahi can be derived as a spid-wise diminishing of srahi. As idimex itself was not uniform it surely has not a single fundamental domain, rather it has two of those: titdi (the dual of teddi) and mibkid (the dual of mibdi). These there clearly encompass just a single vertex each, here they would encompass a complete srid. Here the pentagons of those srids will lie right in the face planes of the dodecahedral kernel of those domains.
Idimex was diminished at 20 vertices. Idimsrahi accordingly will be diminished at 20 srids. In fact 20 srid-cupolae will be chopped off. Any individual of those clearly is a srid || tid. This results in several other srids, which get diminished into tedrid (J83) resp. mabidrid (J81) here.
Corresponding to the 3-fold symmetry of the one resp. the 2-fold of the other domain we call the vertices of srid as A, ..., L along its 3-fold axis resp. as a, ..., q along its 2-fold axis, cf. the pics on the right. The other elements of idimsrahi then can be classified accordingly, as given below. The srid vertices C, E, and G resp. b, d, and g then would be chopped off, as those get eaten by the tids, which are to be placed around the tips of those domains. This is how the srids become tedrids resp. mabidrid. All the remaining vertex types then are placed right at the boundary of the used fundamental domains. By external symmetry (connection of those domains) we further get the identifications F=a, H=c, J=e, L=p, K=m, I=j, as well as f=i and h=l.
60 * * * * * * * * * * * * * * | 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 0 0 0 0 0 0 0 0 0 A * 120 * * * * * * * * * * * * * | 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 1 0 0 0 0 0 0 0 0 0 B * * 120 * * * * * * * * * * * * | 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 1 1 0 0 0 0 0 0 0 0 D * * * 240 * * * * * * * * * * * | 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 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 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 0 F=a * * * * 240 * * * * * * * * * * | 0 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 0 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 1 0 0 0 0 0 0 H=c * * * * * 240 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 1 0 0 0 0 0 0 I=j * * * * * * 120 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 1 2 1 0 0 0 0 0 J=e * * * * * * * 240 * * * * * * * | 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 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 1 1 1 1 0 0 0 0 K=m * * * * * * * * 120 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 2 0 1 2 1 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 1 0 0 2 1 0 0 0 L=p * * * * * * * * * 240 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 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