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An icosidodecahedron


icosidodecahedron (plural icosidodecahedra or icosidodecahedrons)

  1. An Archimedean solid with thirty-two regular faces (twelve pentagons and twenty triangles).
    • 1961, The New Yorker, Volume 37, Part 4, page 172,
      [] together to form not only regular polyhedrons but rhombicosidodecahedrons, truncated icosidodecahedrons, and such.
    • 1992, Jean-Louis Verger-Gaugry, Quasicrystals and the Concept of Interpenetration in m35-approximant Crystals with Long-range Icosahedral Atomic Clustering, A. R. Yavari, Ordering and Disordering in Alloys, Elsevier Applied Science, page 498,
      A succession of 10 concentric icosidodecahedra centered at (0, 0, 0), forming a geometric sequence (the nth one is τn larger than the first one), is also put into evidence.
    • 2004, David Darling, The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes[1], page 263:
      The edges of the octahedron form three squares; the edges of the cuboctahedron form four hexagons, and the edges of the icosidodecahedron form six decagons.
    • 2004, Marc-Alain Ouaknin, The Mystery of Numbers, unnumbered page,
      Thus, there is a star octahedron, three star dodecahedrons, and fifty-nine star icosidodecahedrons.
    • 2009, Walter Steurer, Sofia Deloudi, Crystallography of Quasicrystals: Concepts, Methods and Structures, page 306,
      The dark-gray (online: red) icosahedra are part of the B clusters, the light-gray dodecahedra of the B’ clusters, and the (online: blue) icosidodecahedra of the M clusters.
    • 2010, Debra Ann Ross, Master Math: Geometry, Cengage Learning, page 306,
      Polyhedrons include prisms; pyramids; the Platonic solids, including tetrahedrons, cubes, octahedrons, dodecahedrons, and icosahedrons; the Archimedean solids, such as cuboctahedrons and icosidodecahedrons; and the Johnson solids, such as square pyramids and triangular cupolas (dome-shape).

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