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Pentadecahedron information


Some pentadecahedrons

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]

  1. ^ Parker), 麥特‧帕克(Matt (2020-06-11). 數學大觀念2:從掐指一算到穿越四次元的數學魔術 (in Chinese (Taiwan)). 貓頭鷹. ISBN 978-986-262-426-5.
  2. ^ Montejano, JM and Rodríguez, JL and Gutierrez-Wing, C and Miki, M and José-Yacamán, M (2004). "Crystallography and Shape of Nanoparticles and Clusters" (PDF). Encyclopedia of Nanoscience and Nanotechnology X: 1–44. Archived from the original (PDF) on 2022-08-28. Retrieved 2023-06-26.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  3. ^ Lagunov, VA and Sinani, AB (1998). "Formation of a bistructure of a solid in a computer experiment". Physics of the Solid State. 40 (10). Springer: 1742–1747. doi:10.1134/1.1130648. S2CID 121047989.{{cite journal}}: CS1 maint: multiple names: authors list (link)

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Pentadecahedron

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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...

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