Acronym dopix
Name dodecahedronary prismatohexacosachoron,
compound of 60 spid
Coxeter symbol 10{3,3,5}[60{;3,3,3;}]
Circumradius 1
General of army ex
Colonel of regiment sishi
Confer
uniform relative:
ex   spid  
other CRFs:
idimex  

Dopix occurs in 3 different abstract polytopal forms depending on whether the vertices (coincident by 10) will be counted separately (type A), or will be identified (type B). Also edges coincide by 3, which might be identified additionally (type C).


Incidence matrix

(Type A)

1200 |    6 |    6    6 |   2    6 ||  1
-----+------+-----------+----------++---
   2 | 3600 |    2    2 |   1    3 ||  1
-----+------+-----------+----------++---
   3 |    3 | 2400    * |   1    1 ||  1
   4 |    4 |    * 1800 |   0    2 ||  1
-----+------+-----------+----------++---
  4 |    6 |    4    0 | 600    * ||  1
  6 |    9 |    2    3 |   * 1200 ||  1
-----+------+-----------+----------++---
 20 |   60 |   40   30 |  10   20 || 60

(Type B)

 120 |   60 |   60   60 |  20   60 || 10
-----+------+-----------+----------++---
   2 | 3600 |    2    2 |   1    3 ||  1
-----+------+-----------+----------++---
   3 |    3 | 2400    * |   1    1 ||  1
   4 |    4 |    * 1800 |   0    2 ||  1
-----+------+-----------+----------++---
  4 |    6 |    4    0 | 600    * ||  1
  6 |    9 |    2    3 |   * 1200 ||  1
-----+------+-----------+----------++---
 20 |   60 |   40   30 |  10   20 || 60

(Type C)

 120 |   20 |   60   60 |  20   60 || 10
-----+------+-----------+----------++---
   2 | 1200 |    6    6 |   3    9 ||  3
-----+------+-----------+----------++---
   3 |    3 | 2400    * |   1    1 ||  1
   4 |    4 |    * 1800 |   0    2 ||  1
-----+------+-----------+----------++---
  4 |    6 |    4    0 | 600    * ||  1
  6 |    9 |    2    3 |   * 1200 ||  1
-----+------+-----------+----------++---
 20 |   60 |   40   30 |  10   20 || 60

© 2004-2019
top of page