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词条 Triangular bifrustum
释义

  1. References

  2. External links

Triangular Bifrustum
TypeBifrustum
Faces6 trapezoids,
2 triangles
Edges15
Vertices9
Symmetry groupD3h
Dual polyhedronElongated triangular dipyramid
Propertiesconvex
Net

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 dipyramid and truncating the polar axis vertices, making is 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.

References

1. ^For instance, Haji-Akbari et al. use it in the latter sense: see {{citation | last1 = Haji-Akbari | first1 = Amir | last2 = Chen | first2 = Elizabeth R. | last3 = Engel | first3 = Michael | last4 = Glotzer | first4 = Sharon C. | arxiv = 1304.3147 | journal = Phys. Rev. E | page = 012127 | title = Packing and self-assembly of truncated triangular bipyramids | volume = 88 | year = 2013 | doi=10.1103/physreve.88.012127| bibcode = 2013PhRvE..88a2127H}}.
2. ^{{citation | last1 = Kharisov | first1 = Boris I. | last2 = Kharissova | first2 = Oxana Vasilievna | last3 = Ortiz-Mendez | first3 = Ubaldo | isbn = 9781439853436 | page = 466 | publisher = CRC Press | title = Handbook of Less-Common Nanostructures | url = https://books.google.com/books?id=yhRNwE7oMPYC&pg=PA466 | year = 2012}}.
3. ^{{citation | last1 = Yoo | first1 = Hyojong | last2 = Millstone | first2 = Jill E. | last3 = Li | first3 = Shuzhou | last4 = Jang | first4 = Jae-Won | last5 = Wei | first5 = Wei | last6 = Wu | first6 = Jinsong | last7 = Schatz | first7 = George C. | last8 = Mirkin | first8 = Chad A. | doi = 10.1021/nl901513g | issue = 8 | journal = Nano Letters | pages = 3038–3041 | pmid = 19603815 | title = Core–Shell Triangular Bifrustums | volume = 9 | year = 2009 | pmc=3930336| bibcode = 2009NanoL...9.3038Y}}.

External links

  • Conway Notation for Polyhedra Try: t3dP3
{{Polyhedron-stub}}

1 : Polyhedra

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