Icosahedrongreat dodecahedron morpher
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Icosahedrongreat dodecahedron morpher  

Rank  3 
Type  Orbiform 
Notation  
Bowers style acronym  Igdom 
Elements  
Faces  5+5 triangles, 1+5 pentagons 
Edges  5+5+5+5+10 
Vertices  1+1+5+5 
Vertex figures  1 pentagon, edge length 1 
1 pentagram, edge length (1+√5)/2  
5 nonconvex pentagons, edge lengths 1, 1, (1+√5)/2, 1, (1+√5)/2  
5 nonconvex pentagons, edge lengths 1, (1+√5)/2, (1+√5)/2, 1, (1+√5)/2  
Measures (edge length 1)  
Circumradius  
Volume  
Dihedral angles  33: 
35:  
55:  
Number of external pieces  45 
Level of complexity  28 
Related polytopes  
Army  Ike 
Regiment  Ike 
Conjugate  Great icosahedronsmall stellated dodecahedron morpher 
Convex hull  Icosahedron 
Convex core  Pentagonal frustrum, edge lengths 1 (large base, sides), (small base) 
Abstract & topological properties  
Flag count  120 
Euler characteristic  –2 
Orientable  Yes 
Genus  2 
Skeleton  Icosahedral graph 
Properties  
Symmetry  H_{2}×I, order 10 
Convex  No 
Nature  Tame 
The icosahedrongreat dodecahedron morpher or igdom, also called the ikegad morpher, is a nonconvex orbiform polyhedron and an edge faceting of the icosahedron. Its faces are 5+5 triangles and 1+5 pentagons.
It is named as such because one vertex is surrounded by 5 triangles like a vertex of the icosahedron, while the opposing vertex is surrounded by 5 pentagons like a vertex of the great dodecahedron. It uses half the faces of each of these regular polyhedra.
It appears as a cell of the small hemiswirlprism.
Vertex coordinates[edit  edit source]
Its vertex coordinates are the same as those of the icosahedron.
Gallery[edit  edit source]

Viewed from the side that resembles a great dodecahedron.

Viewed from the side that resembles an icosahedron.
External links[edit  edit source]
 Bowers, Jonathan. "Batch 2: Ike and Sissid Facetings" (#7 under ike).
 Klitzing, Richard. "ikefacetings"