Great dodecahedral prism
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Great dodecahedral prism  

Rank  4 
Type  Uniform 
Notation  
Bowers style acronym  Gaddip 
Coxeter diagram  x o5/2o5x () 
Elements  
Cells  12 pentagonal prisms, 2 great dodecahedra 
Faces  30 squares, 24 pentagons 
Edges  12+60 
Vertices  24 
Vertex figure  Pentagrammic pyramid, edge lengths (1+√5)/2 (base), √2 (legs) 
Measures (edge length 1)  
Circumradius  
Hypervolume  
Dichoral angles  Gad–5–pip: 90° 
Pip–4–pip:  
Height  1 
Central density  3 
Number of external pieces  62 
Related polytopes  
Army  Ipe 
Regiment  Ipe 
Dual  Small stellated dodecahedral tegum 
Conjugate  Small stellated dodecahedral prism 
Abstract & topological properties  
Euler characteristic  –8 
Orientable  Yes 
Properties  
Symmetry  H_{3}×A_{1}, order 240 
Convex  No 
Nature  Tame 
The great dodecahedral prism or gaddip is a prismatic uniform polychoron that consists of 2 great dodecahedra and 12 pentagonal prisms. Each vertex joins 1 great dodecahedron and 5 pentagonal prisms. As the name suggests, it is a prism based on the great dodecahedron.
Gallery[edit  edit source]

GeoGebra render

Card with vertex figure, cell counts, and crosssections
Vertex coordinates[edit  edit source]
Its vertices are the same as those of its regiment colonel, the icosahedral prism.
External links[edit  edit source]
 Bowers, Jonathan. "Category 19: Prisms" (#893).
 Klitzing, Richard. "gaddip".