Acronym dird
Name dirhimbidodecahedron,
compound of 12 pip
 
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Circumradius sqrt[(15+2 sqrt(5))/20] = 0.986715
Vertex figure 2[42,5]
General of army f3x5o
Colonel of regiment (itself, even so not being locally convex)
External
links
hedrondude   wikipedia  

Vertices coincide by pairs. So either both can be considered separately (type A) or are identified (type B). Finally, instead of considering individual pip, it can likewise be seen as a compound of 2 (different handed) kred (type C).


Incidence matrix

(Type A)

 120 |   2  1 |  2  1 ||  1
-----+--------+-------++---
   2 | 120  * |  1  1 ||  1
   2 |   * 60 |  2  0 ||  1
-----+--------+-------++---
   4 |   2  2 | 60  * ||  1
   5 |   5  0 |  * 24 ||  1
-----+--------+-------++---
 10 |  10  5 |  5  2 || 12

(Type B)

  60 |   4  2 |  4  2 ||  2
-----+--------+-------++---
   2 | 120  * |  1  1 ||  1
   2 |   * 60 |  2  0 ||  1
-----+--------+-------++---
   4 |   2  2 | 60  * ||  1
   5 |   5  0 |  * 24 ||  1
-----+--------+-------++---
 10 |  10  5 |  5  2 || 12

(Type C)

 120 |   2  1 |  2  1 || 1
-----+--------+-------++--
   2 | 120  * |  1  1 || 1
   2 |   * 60 |  2  0 || 1
-----+--------+-------++--
   4 |   2  2 | 60  * || 1
   5 |   5  0 |  * 24 || 1
-----+--------+-------++--
 60 |  60 30 | 30 12 || 2

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