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Pentadecahedron
Polyhedron with 15 faces / From Wikipedia, the free encyclopedia
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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.[1]
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Examples of pentadecahedra | |
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![]() Dual elongated triangular cupola |
![]() Elongated pentagonal bipyramid |
![]() Tridecagonal prism |
![]() Elongated heptagonal pyramid |
In chemistry, some clusters of atoms are in the form of pentadecahedra.[2] Calculations have shown that there is a unit cell of the pentadecahedron that is stable in the crystal.[3]