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  2. Snub dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Snub_dodecahedron

    In geometry, the snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed by two or more types of regular polygon faces. The snub dodecahedron has 92 faces (the most of the 13 Archimedean solids): 12 are pentagons and the other 80 are equilateral triangles .

  3. Archimedean solid - Wikipedia

    en.wikipedia.org/wiki/Archimedean_solid

    Truncated dodecahedron: 3.10.10: 20 triangles 12 decagons: 90 60 I h: Truncated icosahedron: 5.6.6: 12 pentagons 20 hexagons 90 60 I h: Rhombicosidodecahedron: 3.4.5.4: 20 triangles 30 squares 12 pentagons 120 60 I h: Truncated icosidodecahedron: 4.6.10: 30 squares 20 hexagons 12 decagons 180 120 I h: Snub dodecahedron: 3.3.3.3.5: 80 triangles ...

  4. Snub disphenoid - Wikipedia

    en.wikipedia.org/wiki/Snub_disphenoid

    The snub disphenoid name comes from Johnson (1966) classification of the Johnson solid. [12] However, this solid was first studied by Rausenberger (1915). [13] [14] It was studied again in the paper by Freudenthal & van d. Waerden (1947), which first described the set of eight convex deltahedra, and named it the Siamese dodecahedron. [15] [14]

  5. List of uniform polyhedra - Wikipedia

    en.wikipedia.org/wiki/List_of_uniform_polyhedra

    The 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular hexahedron is a cube . Table of polyhedra

  6. Truncated icosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_icosidodecahedron

    Of all vertex-transitive polyhedra, it occupies the largest percentage (89.80%) of the volume of a sphere in which it is inscribed, very narrowly beating the snub dodecahedron (89.63%) and small rhombicosidodecahedron (89.23%), and less narrowly beating the truncated icosahedron (86.74%); it also has by far the greatest volume (206.8 cubic ...

  7. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Net In geometry , the Rhombicosidodecahedron is an Archimedean solid , one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces . It has a total of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices , and 120 edges .

  8. Snub dodecadodecahedron - Wikipedia

    en.wikipedia.org/wiki/Snub_dodecadodecahedron

    In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U 40. It has 84 faces (60 triangles , 12 pentagons , and 12 pentagrams ), 150 edges, and 60 vertices. [ 1 ] It is given a Schläfli symbol sr{ 5 ⁄ 2 ,5}, as a snub great dodecahedron .

  9. Snub (geometry) - Wikipedia

    en.wikipedia.org/wiki/Snub_(geometry)

    In geometry, a snub is an operation applied to a polyhedron. The term originates from Kepler's names of two Archimedean solids, for the snub cube (cubus simus) and snub dodecahedron (dodecaedron simum). [1] In general, snubs have chiral symmetry with two forms: with clockwise or counterclockwise orientation.