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Some pentadecahedrons | |
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Dual elongated triangular cupola |
Elongated pentagonal dipyramid |
Tridecagonal prism |
Elongated 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, the regular pentadecahedron does not exist, and the pentadecahedron cannot fill the space, or, a space-filling pentadecahedron does not exist.[1]
In chemistry, some clusters of atoms are in the form of pentadecahedrons.[2] Calculations have shown that there is a unit cell of the pentadecahedron that is stable in the crystal.[3]
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