Acronym gassid
Name great snub dodecahedron,
compound of 6 pap
 
 © 
Circumradius sqrt[(5+sqrt(5))/8] = 0.951057
Vertex figure [33,5]
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(-sqrt(5)/3) = 138.189685°
  • between {3} and {5}:   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
External
links
hedrondude   wikipedia  

It can be obtained by inscribing 6 pap into an ike (in each of the axial orientations), and then rotating each by 36° around its axis, so that the pentagons each position in the dual orientation than before.

A double cover of gassid occurs as special case of gadsid.


Incidence matrix

  60 |  2  2 |  3  1 || 1
-----+-------+-------++--
   2 | 60  * |  1  1 || 1
   2 |  * 60 |  2  0 || 1
-----+-------+-------++--
   3 |  1  2 | 60  * || 1
   5 |  5  0 |  * 12 || 1
-----+-------+-------++--
 10 | 10 10 | 10  2 || 6

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