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.
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
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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.