Acronym sapisseri
Name (chiral) snub pseudosnub rhombicosahedron,
compound of 20 thah
 
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Circumradius 1/sqrt(2) = 0.707107
Vertex figure 2[3,4,3/2,4]/0
Dihedral angles
(at margins)
  • between {3} and {4}:   arccos(1/sqrt(3)) = 54.735610°
Confer
compounds:
dasi  
uniform relative:
gidrid  
External
links
hedrondude   wikipedia   polytopewiki  

Sapisseri can be inscribed into dasi. Infact, although each thah breaks the relevant prism symmetry of oct (which prohibites the usage of thah in the more general addasi), the pairwise coincidence of vertices, occuring in dasi, makes this possible. Still, it becomes chiral.

The above makes clear, that, contrary to dasi, coincident vertices cannot be viewed separate.

Sapisseri is an edge-faceting of the great dirhombicosidodecahedron (gidrid).


Incidence matrix

 60 |  2   4  2 |  1  3  4 ||  2
----+-----------+----------++---
  2 | 60   *  * |  1  0  1 ||  1
  2 |  * 120  * |  0  1  1 ||  1
  2 |  *   * 60 |  0  1  1 ||  1
----+-----------+----------++---
  3 |  3   0  0 | 20  *  * ||  1
  3 |  0   2  1 |  * 60  * ||  1
  4 |  1   2  1 |  *  * 60 ||  1
----+-----------+----------++---
 6 |  3   6  3 |  1  3  3 || 20

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