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truncated icosahedron




From truncated + icosahedron.


truncated icosahedron (plural truncated icosahedra or truncated icosahedrons)

  1. (geometry) A polyhedron that has thirty-two faces (12 regular pentagons and 20 regular hexagons) and is one of the Archimedean solids.
    • 1989, Tony Rothman, Science a la Mode: Physical Fashions and Fictions[1], page 64:
      This is the truncated icosahedron. Where the five triangles meet to form a vertex is now a pentagon, and a hexagon now replaces each triangular face. Therefore, the truncated icosahedron is composed of twelve pentagons and twenty hexagons.
    • 1993, R. Bruce King, Applications of Graph Theory and Topology in Inorganic Cluster and Coordination Chemistry[2], page 183:
      In addition to the 20 lithium atoms in layer b, additional lithium atoms (layer e) are located above the twelve pentagonal faces of the peripheral truncated icosahedra which, because of the way that the truncated icosahedra are linked, simultaneously cap the pentagonal faces of two adjacent truncated icosahedra sharing an edge (sharing method 1 above).
    • 2001, Edward A. Rietman, Molecular Engineering of Nanosystems[3], page 130:
      Fullerenes are truncated icosahedrons with 90 edges of equal length, 60 vertices, 20 hexagonal faces, and 12 pentagonal faces that form a closed shell.
    • 2008, Jill Vincent, Andy Edwards, David Tynan, Gloria Stillman (editors), MathsWorld Year Eight for Queensland, Teacher Edition, page 308,
      Do you know which sport is played with a truncated icosahedron?