Triangular bifrustum explained

Triangular bifrustum
Type:Bifrustum
Faces:6 trapezoids,
2 triangles
Edges:15
Vertices:9
Dual:Elongated triangular bipyramid
Properties:convex
Net: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.

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Notes and References

  1. For instance, Haji-Akbari et al. use it in the latter sense: see .
  2. .
  3. .