Acronym	gisdid
Name	great snub dodekicosidodecahedron, shub-niggurath
	© ©
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)
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As abstract polytope gisdid is isomorphic to sided, thereby replacing prograde pentagrams by (prograde) pentagons, while retrrograde pentagrams keep unchanged.

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