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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. Pentagonal hexecontahedron - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_hexecontahedron

    Pentagonal pyramids are added to the 12 pentagonal faces of the snub dodecahedron, and triangular pyramids are added to the 20 triangular faces that do not share an edge with a pentagon. The pyramid heights are adjusted to make them coplanar with the other 60 triangular faces of the snub dodecahedron. The result is the pentagonal ...

  4. Order-5 truncated pentagonal hexecontahedron - Wikipedia

    en.wikipedia.org/wiki/Order-5_truncated...

    It is explicitly called a pentatruncated pentagonal hexecontahedron since only the valence-5 vertices of the pentagonal hexecontahedron are truncated. [2]Its topology can be constructed in Conway polyhedron notation as t5gD and more simply wD as a whirled dodecahedron, reducing original pentagonal faces and adding 5 distorted hexagons around each, in clockwise or counter-clockwise forms.

  5. 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 .

  6. Pentakis snub dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Pentakis_snub_dodecahedron

    Net (click to enlarge) The pentakis snub dodecahedron is a convex polyhedron with 140 triangular faces, 210 edges, and 72 vertices. It has chiral icosahedral symmetry ...

  7. 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]

  8. 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.

  9. Inverted snub dodecadodecahedron - Wikipedia

    en.wikipedia.org/wiki/Inverted_snub_dodeca...

    In geometry, the inverted snub dodecadodecahedron (or vertisnub dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U 60. [1] It is given a Schläfli symbol sr{5/3,5}. Cartesian coordinates