truncated tetrahedron

plural truncated tetrahedra · plural truncated tetrahedrons

1. geometryA convex polyhedron, with four triangular and four hexagonal faces, that is an Archimedean solid and can be constructed by truncating a regular tetrahedron at each vertex by one-third the length of each adjoining edge.

   The tendons now form the edges of a slightly distorted truncated tetrahedron.

   1976, Anthony Pugh, An Introduction to Tensegrity, page 35

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   The space of the El Al pyramid is created essentially by the packing of truncated tetrahedrons.

   1968, Cindy Marriott, A Critical Analysis of Israeli Architecture, 1948-1967: A Study in Cultural Conflict, page 63

   This ideal net gives rise to the formation of B₁₂ truncated tetrahedra, where the A cations are lodged.

   2000, Angel Vegas, Cations in Inorganic Solids: Crystallography Reviews, volume 7, number 3, page 248

   2009, Xiaotian Lin, Miao Jin, Feng Luo, Xiangfen David Gu, Discrete Curvature Flows for Surfaces and 3-Manifolds, Frank Nielsen (editor), Emerging Trends in Visual Computing: LIX Fall Colloquium, ETVC 2008, page 69, Once the edge lengths of the tetrahedral mesh have been obtained, we can realize it in the hyperbolic space ℍ³ First, we introduce how to construct a single truncated tetrahedron; then we explain how to glue multiple truncated tetrahedra by hyperbolic rigid motion.

   2010, K.M. Kosuda, J. M. Bingham, K. L. Wustholz, R. P. Van Dyne, 9: Nanostructures and Surface-Enhanced Raman Spectroscopy, Gary P. Wiederrecht (efitor), Handbook of Nanoscale Optics and Electronics, page 318, Without any further modification, the shapes of the nanoparticles fabricated by NSL are truncated tetrahedrons. However, by thermal annealing the truncated tetrahedrons are transformed into hemispheres.