Acronym gidsid
Name great invertidisnub icosidodecahedron,
compound of 2 gisid
 
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Vertex figure [34,5/3]
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Both, the icosahedral triangles and the (dodecahedral) pentagrams coincide by their face planes pairwise. So either all are considered separately (type A), or triangle pairs are considered as (rotated) compounds while pentagrams are considered separately (type B), or conversely pentagram pairs are considered as (rotated) compounds while triangles 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
-----+------------+-----------++--
   3 |   3  0   0 | 40   *  * || 1
   3 |   1  1   1 |  * 120  * || 1
   5 |   0  0   5 |  *   * 24 || 1
-----+------------+-----------++--
 60 |  60 30  60 | 20  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
-----+------------+-----------++--
   6 |   6  0   0 | 20   *  * || 2
   3 |   1  1   1 |  * 120  * || 1
   5 |   0  0   5 |  *   * 24 || 1
-----+------------+-----------++--
 60 |  60 30  60 | 20  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
-----+------------+-----------++--
   3 |   3  0   0 | 40   *  * || 1
   3 |   1  1   1 |  * 120  * || 1
  10 |   0  0  10 |  *   * 12 || 2
-----+------------+-----------++--
 60 |  60 30  60 | 20  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
-----+------------+-----------++--
   6 |   6  0   0 | 20   *  * || 2
   3 |   1  1   1 |  * 120  * || 1
  10 |   0  0  10 |  *   * 12 || 2
-----+------------+-----------++--
 60 |  60 30  60 | 20  60 12 || 2

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