Hexadecahedron

You can help expand this article with text translated from the corresponding article in Chinese. (June 2023) Click [show] for important translation instructions.

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.

Polyhedron with 16 faces

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.