Acronym sidhid
TOCID symbol D|I
Name small dodecahemidodecahedron
 
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Circumradius (1+sqrt(5))/2 = 1.618034
Vertex figure [5/4,10,5,10]
General of army id
Colonel of regiment id
Dihedral angles
  • between {5} and {10}:   arccos(1/sqrt(5)) = 63.434949°
Face vector 30, 60, 18
Confer
Grünbaumian relatives:
2sidhid   id+seihid+sidhid  
External
links
hedrondude   wikipedia   polytopewiki   mathworld

As abstract polytope sidhid is isomorphic to gidhid, thereby replacing pentagons by pentagrams and decagons by decagrams.

This polyhedron is an edge-faceting of the icosidodecahedron (id).


Incidence matrix according to Dynkin symbol

hemi( o5/4x5x5*a )

30 |  4 |  2 2
---+----+-----
 2 | 60 |  1 1
---+----+-----
 5 |  5 | 12 *
10 | 10 |  * 6

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