Misplaced Pages

Enneadecahedron

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.
You can help expand this article with text translated from the corresponding article in Chinese. (June 2023) Click 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 Misplaced Pages.
  • 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 Misplaced Pages article at ]; see its history for attribution.
  • You may also add the template {{Translated|zh|十九面體}} to the talk page.
  • For more guidance, see Misplaced Pages:Translation.
Polyhedron with 19 faces
Octadecagonal (18-sided) pyramid
3D model of 18-sided pyramid
a 19-sided 3d object composed of 1 hexagonal face, 12 rectangular faces, 6 triangular faces
Heptadecagonal (17-sided) prism

A enneadecahedron (or enneakaidecahedron) is a polyhedron with 19 faces. No enneadecahedron is regular; hence, the name is ambiguous.

There are numerous topologically distinct forms of an enneadecahedron, for example the octadecagonal (18-sided) pyramid, or the heptadecagonal (17-sided) prism; the latter is the only convex enneadecahedron with all regular polygonal faces.

Convex enneadecahedra

There are many topologically distinct convex enneadecahedra, excluding mirror images, having at least 12 vertices. (Two polyhedra are "topologically distinct" if they have intrinsically different arrangements of faces and vertices, such that it is possible to distort one into the other simply by changing the lengths of edges or the angles between edges or faces.)

References

  1. Counting polyhedra

External links

Polyhedra
Listed by number of faces and type
1–10 faces
11–20 faces
>20 faces
elemental things
convex polyhedron
non-convex polyhedron
prismatoid‌s


Stub icon

This polyhedron-related article is a stub. You can help Misplaced Pages by expanding it.

Categories: