hemipolyhedron
Sign in to saveIn geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center. These "hemi" faces lie parallel to the faces of some other symmetrical polyhedron, and their count is half the number of faces of that other polyhedron – hence the "hemi" prefix.
In the Vinony graph
Within Vinony's link graph, hemipolyhedron is referenced by 62 other articles, and connects out to great disnub dirhombidodecahedron, octahedron and tetrahemihexahedron.
It is catalogued under the topic Uniform polyhedra.
Its subject is documented across 6 Wikipedia language editions.
~8 min read
Encyclopedic overview
7 sectionsContents
- Wythoff symbol and vertex figure
- Quadrilateral domains
- Orientability
- Duals of the hemipolyhedra
- Relationship with the quasiregular polyhedra
- References
- External links
In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center. These "hemi" faces lie parallel to the faces of some other symmetrical polyhedron, and their count is half the number of faces of that other polyhedron – hence the "hemi" prefix.
The prefix "hemi" is also used to refer to certain projective polyhedra, such as the hemi-cube, which are the image of a 2 to 1 map of a spherical polyhedron with central symmetry.
Excerpted from Wikipedia’s “hemipolyhedron” article, available under the CC BY-SA 4.0 licence.