Acronym | bhidtex |
Name | bi-hecatonicosidiminished truncated hexacosichoron |
© | |
Circumradius | sqrt[(23+9 sqrt(5))/2] = 4.643523 |
Vertex figure |
© |
Face vector | 1200, 3600, 3240, 840 |
Confer | |
External links |
Similar to bidex, the diminishing of ex at the vertices of 2 inscribed f-icoes, this isogonal polychoron is obtained as a diminishing of tex at the vertices of 2 inscribed sqrt[6+sqrt(5)]-exes. In contrast to the former will the latter neither be noble, in fact it uses 3 types of cells (one of which is a mono-shaved tut as displayed to the right – also related to the parabi-shaved one, i.e. the rectagonal trapezoprism), nor scaliform, in fact it uses 2 edge sizes.
A general vairiant might be used so, having 3 edge sizes a, b, and c = a+b. Still, that size class b further divides into 3 classes by incidence, cf. below. The specific variant here, relating to a diminishing of the uniform tex variant, only uses 2 edge sizes so, in fact a = b = x and hence c = u.
A different variant would be obtained when using a = 0, thus having accordingly different incidences so. That one then becomes a solely b-edged spidrox. And the above mentioned shaved tut simply becomes a b-squippy thereby.
1200 | 1 2 1 1 1 | 3 2 2 1 3 | 5 1 1 -----+----------------------+----------------------+------------ 2 | 600 * * * * | 0 2 0 0 3 | 5 0 0 a, eg. x 2 | * 1200 * * * | 1 0 1 1 1 | 2 1 1 b1, eg. x 2 | * * 600 * * | 2 0 0 0 1 | 2 1 0 b2, eg. x 2 | * * * 600 * | 2 1 0 0 0 | 2 1 0 b3, eg. x 2 | * * * * 600 | 0 1 2 0 0 | 2 0 1 c, eg. u -----+----------------------+----------------------+------------ 3 | 0 1 1 1 0 | 1200 * * * * | 1 1 0 b3o = b1,b2,b3 4 | 2 0 0 1 1 | * 600 * * * | 2 0 0 bc&#a = a,b3,a,c 4 | 0 2 0 0 2 | * * 600 * * | 1 0 1 b2c = b1,c,b1,c 5 | 0 5 0 0 0 | * * * 240 * | 0 1 1 b5o = b1,b1,b1,b1,b1 6 | 3 2 1 0 0 | * * * * 600 | 2 0 0 a3b = a,b1,a,b1,a,b2 -----+----------------------+----------------------+------------ 10 | 5 4 2 2 2 | 2 2 1 0 2 | 600 * * shaved tut 10 | 0 10 5 5 0 | 10 0 0 2 0 | * 120 * pap 10 | 0 10 0 0 5 | 0 0 5 2 0 | * * 120 tall pip
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