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  2. Icositetrahedron - Wikipedia

    en.wikipedia.org/wiki/Icositetrahedron

    In geometry, an icositetrahedron [1] is a polyhedron with 24 faces. There are many symmetric forms, and the ones with highest symmetry have chiral icosahedral symmetry: Four Catalan solids, convex: Triakis octahedron - isosceles triangles; Tetrakis hexahedron - isosceles triangles; Deltoidal icositetrahedron - kites; Pentagonal icositetrahedron ...

  3. Deltoidal icositetrahedron - Wikipedia

    en.wikipedia.org/wiki/Deltoidal_icositetrahedron

    In geometry, the deltoidal icositetrahedron (or trapezoidal icositetrahedron, tetragonal icosikaitetrahedron, [1] tetragonal trisoctahedron, [2] strombic icositetrahedron) is a Catalan solid. Its 24 faces are congruent kites . [ 3 ]

  4. Great deltoidal icositetrahedron - Wikipedia

    en.wikipedia.org/wiki/Great_deltoidal...

    In geometry, the great deltoidal icositetrahedron (or great sagittal disdodecahedron) is the dual of the nonconvex great rhombicuboctahedron. Its faces are darts. Its faces are darts. Part of each dart lies inside the solid, hence is invisible in solid models.

  5. Pentagonal icositetrahedron - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_icositetrahedron

    A geometric construction of the Tribonacci constant (AC), with compass and marked ruler, according to the method described by Xerardo Neira. 3d model of a pentagonal icositetrahedron. In geometry, a pentagonal icositetrahedron or pentagonal icosikaitetrahedron [1] is a Catalan solid which is the dual of the snub cube.

  6. Small hexacronic icositetrahedron - Wikipedia

    en.wikipedia.org/wiki/Small_hexacronic...

    In geometry, the small hexacronic icositetrahedron is the dual of the small cubicuboctahedron. It is visually identical to the small rhombihexacron . A part of each dart lies inside the solid, hence is invisible in solid models.

  7. Catalan solid - Wikipedia

    en.wikipedia.org/wiki/Catalan_solid

    deltoidal icositetrahedron: 24 kites: 48 26 138.118° O h: disdyakis dodecahedron: 48 scalene triangles: 72 26 155.082° O h: pentagonal icositetrahedron: 24 pentagons: 60 38 136.309° O rhombic triacontahedron: 30 rhombi: 60 32 144° I h: triakis icosahedron: 60 isosceles triangles 90 32 160.613° I h: pentakis dodecahedron: 60 isosceles ...

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