Triangular bifrustum

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Triangular bifrustum
File:Dual elongated triangular dipyramid.png
TypeBifrustum
Faces6 trapezoids,
2 triangles
Edges15
Vertices9
Symmetry groupD3h
Dual polyhedronElongated triangular bipyramid
Propertiesconvex
Net
File:Dual elongated triangular dipyramid net.png

In geometry, 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.

File:Triangulated truncated triangular bipyramid.png

References

[edit | edit source]
  1. ^ For instance, Haji-Akbari et al. use it in the latter sense: see Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)..
  2. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)..
  3. ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value)..
[edit | edit source]