Acronym giddird
Name great dirhombidodecahedron,
compound of 12 stip
Coxeter symbol 2{;3,5;}[12{;5/2,2;}]
 
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Circumradius sqrt[(15-2 sqrt(5))/20] = 0.725530
Vertex figure 2[42,5/2]
General of army srid
Colonel of regiment (itself, although not being locally convex)
External
links
hedrondude   wikipedia   polytopewiki  

As abstract polytope giddird is isomorphic to dird, thereby replacing pentagrams by pentagons, respectively stip by pip.

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