Acronym gissi
Name great snub icosahedron,
compound of 10 oct (but not si)
 
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Circumradius 1/sqrt(2) = 0.707107
Inradius 1/sqrt(6) = 0.408248
Vertex figure [34]
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(-1/3) = 109.471221°
Confer
related compounds:
si   addasi  
External
links
hedrondude   wikipedia  

It can be obtained by placing 10 oct, thought of as triagular antiprisms, within an ike (in each of the axial orientations) with base-faces oriented dually to those of the ike.

A double cover of gissi occurs as special case of addasi.


Incidence matrix

 60 |  2  2 |  3  1 ||  1
----+-------+-------++---
  2 | 60  * |  1  1 ||  1
  2 |  * 60 |  2  0 ||  1
----+-------+-------++---
  3 |  1  2 | 60  * ||  1
  3 |  3  0 |  * 20 ||  1
----+-------+-------++---
 6 |  6  6 |  6  2 || 10

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