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A rhombicosidodecahedron


From rhomb(ic) + icosidodecahedron, referring to the fact that the 30 square faces lie in the same planes as the 30 (rhombic) faces of the rhombic triacontahedron, which is dual to the icosidodecahedron.


  • (US) IPA(key): /ɹɑmbᵻˈkoʊsiˌdoʊdɛkəhiːdɹən/ obsolete or nonstandard characters (ᵻ), invalid IPA characters (ᵻ)


rhombicosidodecahedron (plural rhombicosidodecahedrons)

  1. (geometry) An Archimedean solid with 62 regular faces (20 triangles, 30 squares and 12 pentagons), 60 vertices and 120 edges.
    • 1989, P. W. Messer, M. J. Wenninger, Symmetry and Polyhedral Stellation—II, Computers & Mathematics with Applications, Volume 17, reprinted in 1989, István Hargittai (editor), Symmetry 2: Unifying Human Understanding, page 195,
      The purpose of this article is to offer a method of approach for investigating the stellation pattern of the deltoidal hexecontahedron, the dual of the rhombicosidodecahedron.
    • 1996, Hugo F. Verheyen, Symmetry Orbits, page 36,
      Next, the totality of 31 axes is illustrated in a rhombicosidodecahedron, an Archimedean solid composed of 30 squares, 20 triangles, and 12 pentagons (Fig. 33), with a view to the inside of the model showing the center of the group, the point of invariancy O (Fig. 34). [] Finally, the other dihedral subgroups are also illustrated on a rhombicosidodecahedron: D3 of order 6 and index 10 (Fig. 36) and D5 of order 10 and index 6 (Fig. 37).
    • 2014, Salim Malla Guitérrez, Chapter Eighteen: Transforming Ways of Looking by Using Technology, and its Application in Contemporary Art Practice, Anna Maria Guasch Ferrer, Nasheli Jiménez Del Val (editor), Critical Cartography of Art and Visuality in the Global Age, page 308,
      To finish, it needs to be clarified that the chosen figure, the rhombicosidodecahedron, composed of 62 flat sides as mentioned above, has five more units than the obtained landscapes.


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