hemi-dodecahedron
Sign in to saveIn geometry, a hemi-dodecahedron is an abstract, regular polyhedron, containing half the faces of a regular dodecahedron. It can be realized as a projective polyhedron (a tessellation of the real projective plane by 6 pentagons), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts.
In the Vinony graph
Within Vinony's link graph, hemi-dodecahedron is referenced by 23 other articles, and connects out to abstract polytope, geometry and International Standard Book Number.
It is catalogued under the topic Projective polyhedra.
Its subject is documented across 8 Wikipedia language editions.
Wikidata facts
- Has parts of class
- vertex
Show 5 more facts
- studied by
- solid geometry
- has facet polytope
- pentagon
- dual to
- hemi-icosahedron
- Schläfli symbol
- {5,3}₅
- Commons category
- Hemi-dodecahedron
via Wikidata · CC0
~1 min read
Encyclopedic overview
5 sectionsContents
- Projections
- Petersen graph
- See also
- References
- External links
{{Infobox polyhedron |image=Hemi-Dodecahedron2.PNG |caption=Decagonal Schlegel diagram |type=Abstract regular polyhedronGlobally projective polyhedron |schläfli={{math|{5,3}/2}} or {{math|{5,3}5}} |faces=6 pentagons |edges=15 |vertices=10 |euler= |symmetry=, order 60 |vertex_config= |dual=hemi-icosahedron |properties= Non-orientable }}
In geometry, a hemi-dodecahedron is an abstract, regular polyhedron, containing half the faces of a regular dodecahedron. It can be realized as a projective polyhedron (a tessellation of the real projective plane by 6 pentagons), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts.
Excerpted from Wikipedia’s “hemi-dodecahedron” article, available under the CC BY-SA 4.0 licence.