Hexadecahedron
- Machine translation, like DeepL or Google Translate, is a useful starting point for translations, but translators must revise errors as necessary and confirm that the translation is accurate, rather than simply copy-pasting machine-translated text into the English Wikipedia.
- Do not translate text that appears unreliable or low-quality. If possible, verify the text with references provided in the foreign-language article.
- You must provide copyright attribution in the edit summary accompanying your translation by providing an interlanguage link to the source of your translation. A model attribution edit summary is
Content in this edit is translated from the existing Chinese Wikipedia article at [[:zh:十六面體]]; see its history for attribution.
- You may also add the template
{{Translated|zh|十六面體}}
to the talk page. - For more guidance, see Wikipedia:Translation.
A hexadecahedron (or hexakaidecahedron) is a polyhedron with 16 faces. No hexadecahedron is regular; hence, the name is ambiguous. There are numerous topologically distinct forms of a hexadecahedron, for example the pentadecagonal pyramid, tetradecagonal prism and heptagonal antiprism.
Convex hexadecahedra
There are 387,591,510,244 topologically distinct convex hexadecahedra, excluding mirror images, having at least 10 vertices.[1] (Two polyhedra are "topologically distinct" if they have intrinsically different arrangements of faces and vertices, such that it is impossible to distort one into the other simply by changing the lengths of edges or the angles between edges or faces.)
Self-dual hexadecahedra
There are 302,404 self-dual hexadecahedron, 1476 with at least order 2 symmetry.[2] The high symmetry self-dual has chiral tetrahedral symmetry, and can be seen topologically by removing 4 of 20 vertices of a regular dodecahedron and is called a tetrahedrally diminished dodecahedron.
Examples
The following list gives examples of hexadecahedra.
- Heptagonal antiprism
- Gyroelongated pentagonal pyramid
- Gyroelongated square bipyramid
- Augmented dodecahedron
- Truncated triakis tetrahedron
References
- What Are Polyhedra?, with Greek Numerical Prefixes
External links
- v
- t
- e
- Monohedron
- Dihedron
- Trihedron
- Tetrahedron
- Pentahedron
- Hexahedron
- Heptahedron
- Octahedron
- Enneahedron
- Decahedron
- Icositetrahedron (24)
- Triacontahedron (30)
- Icosidodecahedron (32)
- Hexoctahedron (48)
- Hexecontahedron (60)
- Enneacontahedron (90)
- Hectotriadiohedron (132)
- Apeirohedron (∞)
- face
- edge
- vertex
- uniform polyhedron (two infinite groups and 75)
- regular polyhedron (9)
- quasiregular polyhedron (16)
- semiregular polyhedron (two infinite groups and 50)
- Platonic solid (5)
- Archimedean solid (13)
- Catalan solid (13)
- Johnson solid (92)
- Kepler–Poinsot polyhedron (4)
- Star polyhedron (infinite)
- Uniform star polyhedron (57)
- prism
- antiprism
- frustum
- cupola
- wedge
- pyramid
- parallelepiped
This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |
- v
- t
- e