rhombicosidodecahedron

plural rhombicosidodecahedra · plural rhombicosidodecahedrons

1. geometryAn Archimedean solid with 62 regular faces (20 triangles, 30 squares, and 12 pentagons), 60 vertices and 120 edges.

   […] I noticed that the little balls (rhombicosidodecahedrons) had openings shaped in the form of triangles, rectangles, and pentagons.

   2014, Thomasenia Lott Adams, Joanne LaFramenta, “Conclusion”, in Math Know-how: Answers to Your Most Persistent Teaching Issues, Grades 3–5, Thousand Oaks, Calif.; London: Corwin, SAGE Publications, →ISBN, page 172

   4 more examples

   Archimedean solid, one of the thirteen solids described by Archimedes, which, without being regular, have all their solid angles alike, all their faces regular, and not less than four faces of any one kind; […] They are […] the rhombicosidodecahedron, the truncated icosidodecahedron, and the snub-dodecahedron.

   1889, “Archimedean, a.”, in William Dwight Whitney, editor, The Century Dictionary: An Encyclopedic Lexicon of the English Language […], volume I, New York, N.Y.: The Century Co., →OCLC, page 297, column 1

   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.

   1989, P. W. Messer, M[agnus] J[oseph] Wenninger, “Symmetry and Polyhedral Stellation—II”, in Computers & Mathematics with Applications, volume 17, numbers 1–3, Oxford, Oxfordshire: Pergamon Press, →DOI, →ISSN, →OCLC, page 195; reprinted in István Hargittai, editor, Symmetry 2: Unifying Human Understanding (International Series in Modern Applied Mathematics and Computer Science; 18), Oxford, Oxfordshire: Pergamon Press, 1989, →ISBN, part 1, page 195

   There are two distinct rhombicosidodecahedra, one bearing the unmodified name and the other called the great rhombicosidodecahedron. Like the rhombus, the icosahedron and the dodecahedron, all of the great rhombicosidodecahedron’s 62 faces are either [square] rhombi (30), equilateral triangles (20) or regular pentagons (12).

   1994, Steven Schwartzman, “rhombicosidodecahedron”, in The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English, Washington, D.C.: 2:Mathematical Association of America, →DOI, →ISBN, page 189, column 1

   Next, the totality of 31 axes is illustrated in a rhombicosidodecahedron, an Archimedean solid composed of 30 squares, 20 triangles, and 12 pentagons[…], with a view to the inside of the model showing the center of the group, the point of invariancy O […] Finally, the other dihedral subgroups are also illustrated on a rhombicosidodecahedron: D#95;3 of order 6 and index 10 […] and D#95;5 of order 10 and index 6[…].

   1996, Hugo F[rançois] Verheyen, “Groups of Isometries”, in Symmetry Orbits (Design Science Collection), Boston, Mass.; Basel, Basel-Stadt: Birkhäuser, →DOI, →ISBN, part I (Realization of Symmetry Groups), page 37

   Synonyms: small rhombicosidodecahedron