different between polyhedron vs icosidodecahedron

English

Alternative forms

• polyedron

Etymology

From New Latin, from Ancient Greek ????????? (polúedron), from ????? (polús, “many”) + ???? (hédra, “seat”); compare French polyèdre.

Pronunciation

• (UK) enPR: p?l?h?'dr?n, IPA^(key): /p?li?hi?d??n/

Noun

polyhedron (plural polyhedra or polyhedrons)

1. (geometry) A solid figure with many flat faces and straight edges.
2. (optics) A polyscope, or multiplying glass.

Hypernyms

• abstract polyhedron
• polytope

Hyponyms

See also Thesaurus:polyhedron

Translations

See also

• apeirohedron
• Schläfli symbol
• spherical polyhedron
• subpolyhedron
• tessellation

English

Noun

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 n^th one is ?ⁿ larger than the first one), is also put into evidence.

   • 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).

Derived terms

• rhombicosidodecahedron
• truncated icosidodecahedron

Translations