Dodecahedral duoprism

Dodecahedral duoprism
Rank	6
Type	Uniform
Notation
Bowers style acronym	Dodoe
Coxeter diagram	x5o3o x5o3o ()
Elements
Peta	24 pentagonal-dodecahedral duoprisms
Tera	144 pentagonal duoprisms, 60 dodecahedral prisms
Cells	720 pentagonal prisms, 40 dodecahedra
Faces	900 squares, 480 pentagons
Edges	1200
Vertices	400
Vertex figure	Triangular disphenoid, edge lengths (1+√5)/2 (base) and √2 (sides)
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {6}}+{\sqrt {30}}}{4}}\approx 1.98168$
Inradius	${\sqrt {\frac {25+11{\sqrt {5}}}{40}}}\approx 1.11352$
Hypervolume	$5{\frac {47+21{\sqrt {5}}}{8}}\approx 58.72340$
Dipetal angles	Pedoe–dope–pedoe: $\arccos \left(-{\frac {\sqrt {5}}{5}}\right)\approx 116.56505^{\circ }$
	Pedop–pedip–pedoe: 90°
Central density	1
Number of external pieces	24
Level of complexity	10
Related polytopes
Army	Dodoe
Regiment	Dodoe
Dual	Icosahedral duotegum
Conjugate	Great stellated dodecahedral duoprism
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	H3≀S2, order 28800
Convex	Yes
Nature	Tame

The dodecahedral duoprism or dodoe is a convex uniform duoprism that consists of 24 pentagonal-dodecahedral duoprisms. 6 facets join at each vertex. It is the prism product of two dodecahedra.

External links

• Klitzing, Richard. "dodoe".