Tridecahedron

This article may be expanded with text translated from the corresponding article in Chinese. (September 2018) Click [show] for important translation instructions. View a machine-translated version of the Chinese article. 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. Consider adding a topic to this template: there are already 1,192 articles in the main category, and specifying|topic= will aid in categorization. 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:十三面體]]; see its history for attribution. You should also add the template {{Translated|zh|十三面體}} to the talk page. For more guidance, see Wikipedia:Translation.

A tridecahedron is a polyhedron with thirteen faces. There are numerous topologically distinct forms of a tridecahedron, for example the dodecagonal pyramid and hendecagonal prism.

Convex[]

There are 96,262,938 topologically distinct convex tridecahedra, excluding mirror images, having at least 9 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.) There is a pseudo-space-filling tridecahedron that can fill all of 3-space together with its mirror-image.^[2]

Examples[]

The following list gives examples of tridecahedra.

• Biaugmented pentagonal prism
• Gyroelongated square pyramid

References[]

External links[]

• Self-dual tridecahedra
• What Are Polyhedra?, with Greek Numerical Prefixes

This polyhedron-related article is a stub. You can help Wikipedia by .

• v
• t