Acronym dasi
Name disnub icosahedron,
compound of 20 oct (but not addasi)
 
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Circumradius 1/sqrt(2) = 0.707107
Inradius 1/sqrt(6) = 0.408248
Vertex figure 2[34]
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(-1/3) = 109.471221°
Confer
related compounds:
addasi   sapisseri  
uniform relative:
gidrid  
External
links
hedrondude   wikipedia   polytopewiki  

Dasi occurs as special case of addasi.

As vertices coincide by pairs it can be viewed (like the more general addasi) with vertices counted separate (type A), or alternatively with coincident ones identified (type B).

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


Incidence matrix

(Type A)

120 |   2   2 |   3  1 ||  1
----+---------+--------++---
  2 | 120   * |   1  1 ||  1
  2 |   * 120 |   2  0 ||  1
----+---------+--------++---
  3 |   1   2 | 120  * ||  1
  3 |   3   0 |   * 40 ||  1
----+---------+--------++---
 6 |  6  6 |   6  2 || 20

(Type B)

 60 |   4   4 |   6  2 ||  2
----+---------+--------++---
  2 | 120   * |   1  1 ||  1
  2 |   * 120 |   2  0 ||  1
----+---------+--------++---
  3 |   1   2 | 120  * ||  1
  3 |   3   0 |   * 40 ||  1
----+---------+--------++---
 6 |  6  6 |   6  2 || 20

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