Acronym gadtap
Name great ditetrahedronary prismatochoron,
compound of 36 stadidip
Coxeter symbol 6{5,3,3}[36{;10/3,2;10/3}]
Circumradius sqrt[3-sqrt(5)] = 0.874032
General of army hi
Colonel of regiment gadtaxady
Confer regular  
External
links
hedrondude  

As abstract polytope gadtap is isomorph to sadtap, thereby replacing decagrams by decagons, resp. stiddip by dip and stadidip by dadip.

Gadtap occurs in 3 different forms depending on whether the vertices (coincident by 6) will be counted separately (type A), or will be identified (type B). Also edges coincide pairwise, which might be identified additionally (type C).


Incidence matrix

(Type A)

 3600 |    4 |    4   2 |   4 ||  1
------+------+----------+-----++---
    2 | 7200 |    2   1 |   3 ||  1
------+------+----------+-----++---
    4 |    4 | 3600   * |   2 ||  1
   10 |   10 |    * 720 |   2 ||  1
------+------+----------+-----++---
  20 |   30 |   10   2 | 720 ||  1
------+------+----------+-----++---
 100 |  200 |  100  20 |  20 || 36

(Type B)

  600 |   24 |   24  12 |  24 ||  6
------+------+----------+-----++---
    2 | 7200 |    2   1 |   3 ||  1
------+------+----------+-----++---
    4 |    4 | 3600   * |   2 ||  1
   10 |   10 |    * 720 |   2 ||  1
------+------+----------+-----++---
  20 |   30 |   10   2 | 720 ||  1
------+------+----------+-----++---
 100 |  200 |  100  20 |  20 || 36

(Type C)

  600 |   12 |   24  12 |  24 ||  6
------+------+----------+-----++---
    2 | 3600 |    4   2 |   6 ||  2
------+------+----------+-----++---
    4 |    4 | 3600   * |   2 ||  1
   10 |   10 |    * 720 |   2 ||  1
------+------+----------+-----++---
  20 |   30 |   10   2 | 720 ||  1
------+------+----------+-----++---
 100 |  200 |  100  20 |  20 || 36

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