dodecadodecahedron
Sign in to savethumb|3D model of a dodecadodecahedron In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U36. It is the rectification of the great dodecahedron (and that of its dual, the small stellated dodecahedron). It was discovered independently by , and .
In the Vinony graph
Within Vinony's link graph, dodecadodecahedron is referenced by 67 other articles, and connects out to pentagon, small stellated dodecahedron and Coxeter–Dynkin diagram.
It is catalogued under the topic Uniform polyhedra.
Its subject is documented across 12 Wikipedia language editions.
Wikidata facts
- Instance of
- polyhedron
- Subclass of
- uniform star polyhedron
- Image
- Dodecadodecahedron.png
- Has parts of class
- face
Show 4 more facts
- has facet polytope
- regular pentagon
- has vertex figure
- rectangle
- maintained by WikiProject
- WikiProject Mathematics
Sources (2)
via Wikidata · CC0
~4 min read
Encyclopedic overview
8 sectionsContents
- Wythoff constructions
- Net
- Related polyhedra
- Medial rhombic triacontahedron
- Related hyperbolic tiling
- See also
- References
- External links
thumb|3D model of a dodecadodecahedron In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U36. It is the rectification of the great dodecahedron (and that of its dual, the small stellated dodecahedron). It was discovered independently by , and .
The edges of this model form 10 central hexagons, and these, projected onto a sphere, become 10 great circles. These 10, along with the great circles from projections of two other polyhedra, form the 31 great circles of the spherical icosahedron used in construction of geodesic domes.
Excerpted from Wikipedia’s “dodecadodecahedron” article, available under the CC BY-SA 4.0 licence.