Acronym | idim sidpixhi |
Name | icosa-diminished small disprismatohexacosihecatonicosachoron |
Circumradius | 3+sqrt(5) = 5.236068 |
Face vector | 2000, 5400, 4800, 1400 |
Confer |
|
In the same way, as idimex was derived as a spid-wise 20-diminishing of ex, idim sidpixhi can be derived as a 20-diminishing of sidpixhi. 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 doe. Here the pentagons of this doe will lie completely inside from the face planes of the dodecahedral kernel of those domains (in order to give rise of the pips of sidpixhi). Therefore idim sidpixhi clearly is no longer uniform (as weren't lots of the Johnson solids neither).
Idimex was diminished at 20 vertices. Idim sidpixhi accordingly will be diminished at 20 does. In fact 20 doe-first caps will be chopped off. Any individual of those clearly is a doe || srid. Even so in this case all the other does, won't get diminished thereby. In fact, this CRF happens to have uniform cells only!
Corresponding to the 3-fold symmetry of the one resp. the 2-fold of the other domain we call the vertices of doe as A, ..., F along its 3-fold axis resp. as a, ..., g along its 2-fold axis, cf. the pics on the right. The other elements of idim sidpixhi then can be classified accordingly, as given below. No doe vertex would be chopped off. As no vertex types are placed right at the boundary of the used fundamental domains, also no further identifications by means of external symmetry is encountered here.
40 * * * * * * * * * * * * | 3 3 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 | 3 6 3 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 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 A * 120 * * * * * * * * * * * | 0 1 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 0 | 0 2 2 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 B * * 240 * * * * * * * * * * | 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 0 0 | 0 0 1 0 1 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 C * * * 240 * * * * * * * * * | 0 0 0 0 0 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 0 1 0 1 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 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 D * * * * 120 * * * * * * * * | 0 0 0 0 0 0 0 0 0 2 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 1 0 0 0 2 0 2 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 1 2 2 1 1 0 0 0 0 0 0 0 E * * * * * 40 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 3 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 3 0 0 0 0 6 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 0 3 0 3 0 1 0 0 0 0 0 0 F * * * * * * 120 * * * * * * | 0 0 0 0 0 0 0 2 0 0 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 0 0 0 0 0 2 1 2 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 2 0 0 0 0 0 1 0 0 0 0 0 a * * * * * * * 240 * * * * * | 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 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 0 b * * * * * * * * 120 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 1 2 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 1 0 0 2 2 2 1 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 0 2 0 1 0 1 2 1 0 0 0 c * * * * * * * * * 240 * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 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 1 1 1 1 0 0 1 0 0 0 0 0 0 | 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 d * * * * * * * * * * 120 * * | 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 2 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 2 0 4 0 0 3 2 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 1 0 e * * * * * * * * * * * 240 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 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 1 1 1 1 1 0 1 1 1 0 0 | 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 f * * * * * * * * * * * * 120 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 1 0 0 2 2 2 1 | 0 0 0 0 0 0 0 1 0 2 0 1 1 0 0 0 2 1 g 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