Triangular bifrustum

Summary

Triangular bifrustum
Dual elongated triangular dipyramid.png
Type Bifrustum
Faces 6 trapezoids,
2 triangles
Edges 15
Vertices 9
Symmetry group D3h
Dual polyhedron Elongated triangular bipyramid
Properties convex
Net
Dual elongated triangular dipyramid net.png

The triangular bifrustum is the second in an infinite series of bifrustum polyhedra. It has 6 trapezoid and 2 triangle faces. It may also be called the truncated triangular bipyramid; however, that term is ambiguous, as it may also refer to polyhedra formed by truncating all five vertices of a triangular bipyramid.[1]

This polyhedron can be constructed by taking a triangular bipyramid and truncating the polar axis vertices, making it into two end-to-end frustums. It appears as the form of certain nanocrystals.[2][3]

A truncated triangular bipyramid can be constructed by connecting two stacked regular octahedra with 3 pairs of tetrahedra around the sides. This represents a portion of the gyrated alternated cubic honeycomb.

Triangulated truncated triangular bipyramid.png

ReferencesEdit

  1. ^ For instance, Haji-Akbari et al. use it in the latter sense: see Haji-Akbari, Amir; Chen, Elizabeth R.; Engel, Michael; Glotzer, Sharon C. (2013), "Packing and self-assembly of truncated triangular bipyramids", Phys. Rev. E, 88 (1): 012127, arXiv:1304.3147, Bibcode:2013PhRvE..88a2127H, doi:10.1103/physreve.88.012127, PMID 23944434, S2CID 8184675.
  2. ^ Kharisov, Boris I.; Kharissova, Oxana Vasilievna; Ortiz-Mendez, Ubaldo (2012), Handbook of Less-Common Nanostructures, CRC Press, p. 466, ISBN 9781439853436.
  3. ^ Yoo, Hyojong; Millstone, Jill E.; Li, Shuzhou; Jang, Jae-Won; Wei, Wei; Wu, Jinsong; Schatz, George C.; Mirkin, Chad A. (2009), "Core–Shell Triangular Bifrustums", Nano Letters, 9 (8): 3038–3041, Bibcode:2009NanoL...9.3038Y, doi:10.1021/nl901513g, PMC 3930336, PMID 19603815.

External linksEdit

  • Conway Notation for Polyhedra Try: t3dP3