Acronym gisdid
Name great snub dodekicosidodecahedron,
shub-niggurath
 
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Circumradius 1/sqrt(2) = 0.707107
Vertex figure [5/3,3,5/2,33]
Colonel of regiment (is itself not locally convex, but no other uniform polyhedral members; *)
Face vector 60, 180, 104
External
links
hedrondude   wikipedia   polytopewiki   mathworld

As abstract polytope gisdid is isomorphic to sided, thereby replacing prograde pentagrams by (prograde) pentagons, while retrrograde pentagrams keep unchanged.

* The regiment of gisdid is contained in that of gidrid. In fact, it is an edge-faceting of the great dirhombicosidodecahedron (gidrid).


Incidence matrix according to Dynkin symbol

s5/3s5/2s3*a

demi( .   .   .    ) | 60 |  2  2  2 |  1  1  1  3
---------------------+----+----------+------------
sefa( s5/3s   .    ) |  2 | 60  *  * |  1  0  0  1
sefa( s   .   s3*a ) |  2 |  * 60  * |  0  1  0  1
sefa( .   s5/2s    ) |  2 |  *  * 60 |  0  0  1  1
---------------------+----+----------+------------
      s5/3s   .        5 |  5  0  0 | 12  *  *  *
      s   .   s3*a     3 |  0  3  0 |  * 20  *  *
      .   s5/2s        5 |  0  0  5 |  *  * 12  *
sefa( s5/3s5/2s3*a ) |  3 |  1  1  1 |  *  *  * 60

starting figure: x5/3x5/2x3*a
or

60 |   4  2 |  2  3  1
---+--------+---------
 2 | 120  * |  1  1  0  (*)
 2 |   * 60 |  0  1  1
---+--------+---------
 5 |   5  0 | 24  *  *  (*)
 3 |   2  1 |  * 60  *
 3 |   0  3 |  *  * 20

(*) abstract polytopal equivalence of the pro- and retrograde pentagrammal sides is being applied in here additionally

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