truncated tetrahedron
English
[edit]
Noun
[edit]truncated tetrahedron (plural truncated tetrahedra or truncated tetrahedrons)
- (geometry) A 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.
- 1968, Cindy Marriott, A Critical Analysis of Israeli Architecture, 1948-1967: A Study in Cultural Conflict[1], page 63:
- The space of the El Al pyramid is created essentially by the packing of truncated tetrahedrons.
- 1976, Anthony Pugh, An Introduction to Tensegrity[2], page 35:
- The tendons now form the edges of a slightly distorted truncated tetrahedron.
- 2000, Angel Vegas, Cations in Inorganic Solids: Crystallography Reviews, volume 7, number 3, page 248:
- This ideal net gives rise to the formation of B12 truncated tetrahedra, where the A cations are lodged.
- 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.