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  2. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Download as PDF; Printable version; In other projects ... This table shows a summary of regular polytope counts by dimension. ... Rhombic triacontahedron; Triakis ...

  3. Rhombic triacontahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_triacontahedron

    3D model of a rhombic triacontahedron. The rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron. It is a zonohedron.

  4. List of polygons, polyhedra and polytopes - Wikipedia

    en.wikipedia.org/wiki/List_of_polygons...

    A polytope is a geometric object with flat sides, which exists in any general number of dimensions. The following list of polygons, polyhedra and polytopes gives the names of various classes of polytopes and lists some specific examples.

  5. Table of polyhedron dihedral angles - Wikipedia

    en.wikipedia.org/wiki/Table_of_polyhedron...

    Rhombic triacontahedron (Dual of icosidodecahedron) — V(3.5.3.5) arccos (-⁠ √ 5 +1 / 4 ⁠) = ⁠ 4 π / 5 ⁠ 144° Medial rhombic triacontahedron (Dual of dodecadodecahedron) — V(5. ⁠ 5 / 2 ⁠.5. ⁠ 5 / 2 ⁠) arccos (-⁠ 1 / 2 ⁠) = ⁠ 2 π / 3 ⁠ 120° Great rhombic triacontahedron (Dual of great icosidodecahedron) — V(3 ...

  6. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    [1] [2] There are different truncations of a rhombic triacontahedron into a topological rhombicosidodecahedron: Prominently its rectification (left), the one that creates the uniform solid (center), and the rectification of the dual icosidodecahedron (right), which is the core of the dual compound.

  7. List of uniform polyhedra - Wikipedia

    en.wikipedia.org/wiki/List_of_uniform_polyhedra

    Four numbering schemes for the uniform polyhedra are in common use, distinguished by letters: [C] Coxeter et al., 1954, showed the convex forms as figures 15 through 32; three prismatic forms, figures 33–35; and the nonconvex forms, figures 36–92.

  8. Truncated rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_rhombicosi...

    Download as PDF; Printable version; In other projects ... Truncated small rhombicosidodecahedron; ... and a rhombic triacontahedron. [1] Related polyhedra

  9. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.