Tetradecahedron

A tetradecahedron with D2d-symmetry, existing in the Weaire–Phelan structure

A tetradecahedron is a polyhedron with 14 faces. There are numerous topologically distinct forms of a tetradecahedron, with many constructible entirely with regular polygon faces.

A tetradecahedron is sometimes called a tetrakaidecahedron.[1][2] No difference in meaning is ascribed.[3][4] The Greek word kai means 'and'. There is evidence that mammalian epidermal cells are shaped like flattened tetrakaidecahedra, an idea first suggested by Lord Kelvin.[5] The polyhedron can also be found in soap bubbles and in sintered ceramics, due to its ability to tesselate in 3D space.[6][7]

  1. ^ Weisstein, Eric W. "Tetradecahedron". MathWorld. Retrieved 16 November 2024.
  2. ^ "Tetradecahedron". Archived from the original on 18 July 2011. Retrieved 29 October 2007.
  3. ^ Weisstein, Eric W. "Tetrakaidecahedron". MathWorld. Retrieved 16 November 2024.
  4. ^ "Tetrakaidecahedron". Archived from the original on 28 September 2011. Retrieved 29 October 2007.
  5. ^ Yokouchi, Mariko; Atsugi, Toru; Logtestijn, Mark van; Tanaka, Reiko J.; Kajimura, Mayumi; Suematsu, Makoto; Furuse, Mikio; Amagai, Masayuki; Kubo, Akiharu (2016). "Epidermal cell turnover across tight junctions based on Kelvin's tetrakaidecahedron cell shape". eLife. 5. doi:10.7554/eLife.19593. PMC 5127639. PMID 27894419.
  6. ^ "Most space Filling Structure in the World! – Tetradecahedron". Ardent Metallurgist. 2020-07-26. Retrieved 2022-11-15.
  7. ^ Wey, Ming-Yen; Tseng, Hui-Hsin; Chiang, Chian-kai (2014-03-01). "Improving the mechanical strength and gas separation performance of CMS membranes by simply sintering treatment of α-Al2O3 support". Journal of Membrane Science. 453: 603–613. doi:10.1016/j.memsci.2013.11.039. ISSN 0376-7388.