Pentadecahedron

A pentadecahedron (or pentakaidecahedron) is a polyhedron with 15 faces. No pentadecahedron is regular; hence, the name is ambiguous. There are numerous topologically distinct forms of a pentadecahedron, for example the tetradecagonal pyramid, and tridecagonal prism.

Convex

There are 23,833,988,129 topologically distinct convex pentadecahedra, 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.)

gollark: I too want to ship a large and probably slow Lua VM with my application.
gollark: At this point I'm actually very tempted to just use BBCode or something.
gollark: Unfortunately it has a weird bug with emphasis/bold and punctuation in some places, so I had to look at this.
gollark: I'm using an existing Markdown parsing library and using its vaguely tokenized output to produce virtual DOM.
gollark: This is an actual regex used to parse Markdown by one project:```^(?:(\*(?=[`\]!"#$%&'()+\-./:;<=>?@\[^_{|}~]))|\*)(?![\*\s])((?:(?:(?!\[.*?\]|`.*?`|<.*?>)(?:[^\*]|[\\s]\*)|\[.*?\]|`.*?`|<.*?>)|(?:(?:(?!\[.*?\]|`.*?`|<.*?>)(?:[^\*]|[\\s]\*)|\[.*?\]|`.*?`|<.*?>)*?(?<!\)\*){2})*?)(?:(?<![`\s\]!"#$%&'()+\-./:;<=>?@\[^_{|}~])\*(?!\*)|(?<=[`\]!"#$%&'()+\-./:;<=>?@\[^_{|}~])\*(?!\*)(?:(?=[`\s\]!"#$%&'()+\-./:;<=>?@\[^_{|}~]|$)))|^_([^\s_])_(?!_)|^_([^\s_<][\s\S]*?[^\s_])_(?!_|[^\s,!"#$%&'()+\-./:;<=>?@\[^_{|}~])|^_([^\s_<][\s\S]*?[^\s])_(?!_|[^\s,!"#$%&'()+\-./:;<=>?@\[^_{|}~])```(it's generated from a slightly less insane one with`punctuation` in place of the big mess of punctuation characters, to be fair)

References


This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.