Acronym tidox (old: togex)
Name truncated dodecahedronary-hexacosachoron
(truncated great hexacosachoron),
compound of 25 tico
Circumradius sqrt(7) = 2.645751
Colonel of regiment tissidtixhi
External
links
polytopewiki  

Tidox occurs in 3 different forms depending on whether the pairwise coincident vertices will be counted separately (type A), or will be identified (type B). Further those edges with 3 incident hexagons coincide pairwise too, which thus might be identified additionally (type C).


Incidence matrix

(Type A)

 4800 |    3    1 |    3    3 |   1   3 ||  1
------+-----------+-----------+---------++---
    2 | 7200    * |    2    1 |   1   2 ||  1
    2 |    * 2400 |    0    3 |   0   3 ||  1
------+-----------+-----------+---------++---
    4 |    4    0 | 3600    * |   1   1 ||  1
    6 |    3    3 |    * 2400 |   0   2 ||  1
------+-----------+-----------+---------++---
   8 |   12    0 |    6    0 | 600   * ||  1
  24 |   24   12 |    6    8 |   * 600 ||  1
------+-----------+-----------+---------++---
 192 |  288   96 |  144   96 |  24  24 || 25

(Type B)

 2400 |    6    2 |    6    6 |   2   6 ||  2
------+-----------+-----------+---------++---
    2 | 7200    * |    2    1 |   1   2 ||  1
    2 |    * 2400 |    0    3 |   0   3 ||  1
------+-----------+-----------+---------++---
    4 |    4    0 | 3600    * |   1   1 ||  1
    6 |    3    3 |    * 2400 |   0   2 ||  1
------+-----------+-----------+---------++---
   8 |   12    0 |    6    0 | 600   * ||  1
  24 |   24   12 |    6    8 |   * 600 ||  1
------+-----------+-----------+---------++---
 192 |  288   96 |  144   96 |  24  24 || 25

(Type C)

 2400 |    6    1 |    6    6 |   2   6 ||  2
------+-----------+-----------+---------++---
    2 | 7200    * |    2    1 |   1   2 ||  1
    2 |    * 1200 |    0    6 |   0   6 ||  2
------+-----------+-----------+---------++---
    4 |    4    0 | 3600    * |   1   1 ||  1
    6 |    3    3 |    * 2400 |   0   2 ||  1
------+-----------+-----------+---------++---
   8 |   12    0 |    6    0 | 600   * ||  1
  24 |   24   12 |    6    8 |   * 600 ||  1
------+-----------+-----------+---------++---
 192 |  288   96 |  144   96 |  24  24 || 25

© 2004-2024
top of page