pentadecahedron
Sign in to save{|style="float: right; margin: 0 0 1em 1em; width: 22.5em; font-size: 0.86em; line-height: normal; border: 1px solid #CCD2D9; background: #F0F6FA" ! colspan=2 style="padding-top:1.0em; padding-bottom:1.0em;" | Examples of pentadecahedra |- |align="center"|120pxDual elongated triangular cupola |align=center|120pxElongated pentagonal bipyramid |- |align=center|120pxTridecagonal prism |align=center|120pxElongated heptagonal pyramid |}
~2 min read
Article
4 sectionsContents
- Convex
- Common pentadecahedra
- References
- External links
{|style="float: right; margin: 0 0 1em 1em; width: 22.5em; font-size: 0.86em; line-height: normal; border: 1px solid #CCD2D9; background: #F0F6FA" ! colspan=2 style="padding-top:1.0em; padding-bottom:1.0em;" | Examples of pentadecahedra |- |align="center"|120pxDual elongated triangular cupola |align=center|120pxElongated pentagonal bipyramid |- |align=center|120pxTridecagonal prism |align=center|120pxElongated heptagonal pyramid |}
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. In the pentadecahedron, none of the shapes are regular polyhedra. In other words, a regular pentadecahedron does not exist, and the pentadecahedron cannot fill space; a space-filling pentadecahedron does not exist.