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pentadecahedron

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{|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 |}

In the Vinony graph

Vinony's link graph records 33 inbound references to pentadecahedron, and connects out to rectangle, pyramid and prism.

It sits within the topics Polyhedra and Science and technology articles needing translation from Chinese Wikipedia.

Vinony links it to 5 Wikipedia language editions.

~2 min read

Encyclopedic overview

4 sections
Contents
  • 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.

Excerpted from Wikipedia’s “pentadecahedron” article, available under the CC BY-SA 4.0 licence.

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