Pentagonal bifrustum
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In geometry, the pentagonal bifrustum or truncated pentagonal bipyramid is the third in an infinite series of bifrustum polyhedra. It has 10 trapezoidal and 2 pentagonal faces.
Constructions
The pentagonal bifrustum is the dual polyhedron of a Johnson solid, the elongated pentagonal bipyramid. Template:Johnson solid
This polyhedron can be constructed by taking a pentagonal bipyramid and truncating the polar axis vertices. In Conway polyhedron notation, it can be represented as the polyhedron "t5dP5Script error: No such module "Check for unknown parameters".", meaning the truncation of the degree-five vertices of the dual of a pentagonal prism.[1]
Alternatively, it can be constructed by gluing together two end-to-end pentagonal frustums, or (if coplanar faces are allowed) by gluing together two pentagonal prisms on their pentagonal faces.
Application
In nanoparticles, a 15-site truncated pentagonal bipyramid structure may form the nucleus of larger twinned structures with five-fold or icosahedral symmetry.[2]
References
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- ↑ Conway Notation for Polyhedra, George W. Hart, accessed 2014-12-20.
- ↑ Script error: No such module "citation/CS1"..
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