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  2. 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.

  3. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Print/export Download as PDF; ... This table shows a summary of regular polytope counts by dimension. ... Rhombic triacontahedron; Triakis icosahedron;

  4. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Alternatively, if you expand each of five cubes by moving the faces away from the origin the right amount and rotating each of the five 72° around so they are equidistant from each other, without changing the orientation or size of the faces, and patch the pentagonal and triangular holes in the result, you get a rhombicosidodecahedron ...

  5. Table of polyhedron dihedral angles - Wikipedia

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

    Printable version; In other projects ... Great rhombic triacontahedron ... Dover edition, ISBN 0-486-61480-8 (Table I: Regular Polytopes, (i) The nine regular ...

  6. List of polygons, polyhedra and polytopes - Wikipedia

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

    Medial disdyakis triacontahedron; Medial hexagonal hexecontahedron; Medial icosacronic hexecontahedron; Medial inverted pentagonal hexecontahedron; Medial pentagonal hexecontahedron; Medial rhombic triacontahedron; Hexahemioctacron; Hemipolyhedron; Octahemioctacron; Rhombicosacron; Small complex icosidodecahedron; Small ditrigonal dodecacronic ...

  7. Semiregular polyhedron - Wikipedia

    en.wikipedia.org/wiki/Semiregular_polyhedron

    Rhombic triacontahedron V(3.5) 2 Johannes Kepler coined the category semiregular in his book Harmonices Mundi (1619), including the 13 Archimedean solids , two infinite families ( prisms and antiprisms on regular bases), and two edge-transitive Catalan solids , the rhombic dodecahedron and rhombic triacontahedron .

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  9. Catalan solid - Wikipedia

    en.wikipedia.org/wiki/Catalan_solid

    rhombic triacontahedron: 30 rhombi: 60 32 144° I h: triakis icosahedron: 60 isosceles triangles 90 32 160.613° I h: pentakis dodecahedron: 60 isosceles triangles 90 32 156.719° I h: deltoidal hexecontahedron: 60 kites 120 62 154.121° I h: disdyakis triacontahedron: 120 scalene triangles 180 62 164.888° I h: pentagonal hexecontahedron: 60 ...