Acronym siidcup
Name small icosicosidodecahedral cupoliprism,
closer siid atop siid
Circumradius sqrt[(4+sqrt(5))/2] = 1.765796
Vertex figure
 ©
Confer
uniform relative:
siidip  
general polytopal classes:
scaliform  
External
links
hedrondude  

Both bases are aligned parallel in the same orientation. But its height is a bit smaller than for the siidip.


Incidence matrix

siid || siid   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

60  * |  2  2   2  0  0 |  1  1  2  2  2  1  0  0  0 | 1  2  1  1 0
 * 60 |  0  0   2  2  2 |  0  0  0  1  2  2  1  1  2 | 0  1  1  2 1
------+-----------------+----------------------------+-------------
 2  0 | 60  *   *  *  * |  1  0  1  0  1  0  0  0  0 | 1  1  0  1 0
 2  0 |  * 60   *  *  * |  0  1  1  1  0  0  0  0  0 | 1  1  1  0 0
 1  1 |  *  * 120  *  * |  0  0  0  1  1  1  0  0  0 | 0  1  1  1 0
 0  2 |  *  *   * 60  * |  0  0  0  0  1  0  1  0  1 | 0  1  0  1 1
 0  2 |  *  *   *  * 60 |  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
------+-----------------+----------------------------+-------------
 3  0 |  3  0   0  0  0 | 20  *  *  *  *  *  *  *  * | 1  0  0  1 0
 5  0 |  0  5   0  0  0 |  * 12  *  *  *  *  *  *  * | 1  0  1  0 0  {5/2}
 6  0 |  3  3   0  0  0 |  *  * 20  *  *  *  *  *  * | 1  1  0  0 0
 2  1 |  0  1   2  0  0 |  *  *  * 60  *  *  *  *  * | 0  1  1  0 0
 2  2 |  1  0   2  1  0 |  *  *  *  * 60  *  *  *  * | 0  1  0  1 0
 1  2 |  0  0   2  0  1 |  *  *  *  *  * 60  *  *  * | 0  0  1  1 0
 0  3 |  0  0   0  3  0 |  *  *  *  *  *  * 20  *  * | 0  1  0  0 1
 0  5 |  0  0   0  0  5 |  *  *  *  *  *  *  * 12  * | 0  0  1  0 1  {5/2}
 0  6 |  0  0   0  3  3 |  *  *  *  *  *  *  *  * 20 | 0  0  0  1 1
------+-----------------+----------------------------+-------------
60  0 | 60 60   0  0  0 | 20 12 20  0  0  0  0  0  0 | 1  *  *  * *  siid
 6  3 |  3  3   6  3  0 |  0  0  1  3  3  0  1  0  0 | * 20  *  * *  tricu
 5  5 |  0  5  10  0  5 |  0  1  0  5  0  5  0  1  0 | *  * 12  * *  stap
 3  6 |  3  0   6  3  3 |  1  0  0  0  3  3  0  0  1 | *  *  * 20 *  tricu
 0 60 |  0  0   0 60 60 |  0  0  0  0  0  0 20 12 20 | *  *  *  * 1  siid
or
120 |   2   2   2 |  1  1  2   3  2 | 1  3  1
----+-------------+-----------------+--------
  2 | 120   *   * |  1  0  1   0  1 | 1  2  0
  2 |   * 120   * |  0  1  1   1  0 | 1  1  1
  2 |   *   * 120 |  0  0  0   2  1 | 0  2  1
----+-------------+-----------------+--------
  3 |   3   0   0 | 40  *  *   *  * | 1  1  0
  5 |   0   5   0 |  * 24  *   *  * | 1  0  1  {5/2}
  6 |   3   3   0 |  *  * 40   *  * | 1  1  0
  3 |   0   1   2 |  *  *  * 120  * | 0  1  1
  4 |   2   0   2 |  *  *  *   * 60 | 0  2  0
----+-------------+-----------------+--------
 60 |  60  60   0 | 20 12 20   0  0 | 2  *  *  siid
  9 |   6   3   6 |  1  0  1   3  3 | * 40  *  tricu
 10 |   0  10  10 |  0  2  0  10  0 | *  * 12  stap

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