Acronym | idimsrix |
Name | icosa-diminished small rhombated hexacosachoron |
Circumradius | sqrt[19+8 sqrt(5)] = 6.073594 |
Face vector | 3000, 8400, 6600, 1200 |
Confer |
In the same way, as idimex was derived as a spid-wise diminishing of ex, idimsrix can be derived as a spid-wise diminishing of srix. 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 id. Here the pentagons of this id will lie completely inside from the face planes of the dodecahedral kernel of those domains (in order to give rise of the pips of srix). Therefore idimsrix clearly is no longer uniform (as weren't lots of the Johnson solids neither).
Idimex was diminished at 20 vertices. Idimsrix accordingly will be diminished at 20 ids. In fact 20 id-first caps will be chopped off. Any individual of those clearly is a id || ti. Even so in this case all the other ids, won't get diminished thereby. Instead several of the coes get halved, yielding tricues (J3) here.
Corresponding to the 3-fold symmetry of the one resp. the 2-fold of the other domain we call the vertices of id as A, ..., G along its 3-fold axis resp. as a, ..., j along its 2-fold axis, cf. the pics on the right. The other elements of idimsrix then can be classified accordingly, as given below. No id 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.
120 * * * * * * * * * * * * * * * * | 2 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 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 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 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 A * 240 * * * * * * * * * * * * * * * | 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 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 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 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 B * * 120 * * * * * * * * * * * * * * | 0 0 0 0 0 2 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 0 0 | 0 0 0 1 0 0 0 2 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 0 0 | 0 1 1 0 0 2 1 0 0 0 0 0 0 0 0 C * * * 240 * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 1 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 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 | 0 0 1 0 1 1 1 1 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