Acronym disdid
Name disnub dodecadodecahedron,
compound of 2 siddid
 
 © ©
Vertex figure [32,5/2,3,5]
External
links
hedrondude   wikipedia  

Both, the pentagrams and the pentagons, coincide by their face planes pairwise each. So either all are considered separately (type A), or pentagram pairs are considered as (rotated) compounds while pentagons are considered separately (type B), or conversely pentagon pairs are considered as (rotated) compounds while pentagrams are considered separately (type C), or both are considered as compounds (type D).


Incidence matrix

(Type A)

 120 |   2  2   2 |  1   3  1 || 1
-----+------------+-----------++--
   2 | 120  *   * |  1   1  0 || 1
   2 |   * 60   * |  0   2  0 || 1
   2 |   *  * 120 |  0   1  1 || 1
-----+------------+-----------++--
   5 |   5  0   0 | 24   *  * || 1
   3 |   1  1   1 |  * 120  * || 1
   5 |   0  0   5 |  *   * 24 || 1
-----+------------+-----------++--
 60 |  60 30  60 | 12  60 12 || 2

(Type B)

 120 |   2  2   2 |  1   3  1 || 1
-----+------------+-----------++--
   2 | 120  *   * |  1   1  0 || 1
   2 |   * 60   * |  0   2  0 || 1
   2 |   *  * 120 |  0   1  1 || 1
-----+------------+-----------++--
  10 |  10  0   0 | 12   *  * || 2
   3 |   1  1   1 |  * 120  * || 1
   5 |   0  0   5 |  *   * 24 || 1
-----+------------+-----------++--
 60 |  60 30  60 | 12  60 12 || 2

(Type C)

 120 |   2  2   2 |  1   3  1 || 1
-----+------------+-----------++--
   2 | 120  *   * |  1   1  0 || 1
   2 |   * 60   * |  0   2  0 || 1
   2 |   *  * 120 |  0   1  1 || 1
-----+------------+-----------++--
   5 |   5  0   0 | 24   *  * || 1
   3 |   1  1   1 |  * 120  * || 1
  10 |   0  0  10 |  *   * 12 || 2
-----+------------+-----------++--
 60 |  60 30  60 | 12  60 12 || 2

(Type D)

 120 |   2  2   2 |  1   3  1 || 1
-----+------------+-----------++--
   2 | 120  *   * |  1   1  0 || 1
   2 |   * 60   * |  0   2  0 || 1
   2 |   *  * 120 |  0   1  1 || 1
-----+------------+-----------++--
  10 |  10  0   0 | 12   *  * || 2
   3 |   1  1   1 |  * 120  * || 1
  10 |   0  0  10 |  *   * 12 || 2
-----+------------+-----------++--
 60 |  60 30  60 | 12  60 12 || 2

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