Great dodecahedral prism
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.
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 
Gallery edit

GeoGebra render
Vertex coordinates edit
Its vertices are the same as those of its regiment colonel, the icosahedral prism.
External links edit
 Bowers, Jonathan. "Category 19: Prisms" (#893).
 Klitzing, Richard. "gaddip".