Acronym bhidtex
Name bi-hecatonicosidiminished truncated hexacosichoron
 
 ©
Circumradius sqrt[(23+9 sqrt(5))/2] = 4.643523
Vertex figure
 ©
Confer
uniform relative:
tex  
scaliform relative:
spidrox  
External
links
polytopewiki  
© 

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.


Incidence matrix

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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