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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. 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.

  5. 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 ...

  6. Truncated icosahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated_icosahedron

    3D model of a truncated icosahedron. In geometry, the truncated icosahedron is a polyhedron that can be constructed by truncating all of the regular icosahedron's vertices. . Intuitively, it may be regarded as footballs (or soccer balls) that are typically patterned with white hexagons and black pentag

  7. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Great deltoidal icositetrahedron; ... (non-Euclidean geometry) Isosceles triangle; ... This page was last edited on 4 December 2024, ...

  8. 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.

  9. Great hexacronic icositetrahedron - Wikipedia

    en.wikipedia.org/wiki/Great_hexacronic...

    In geometry, the great hexacronic icositetrahedron is the dual of the great cubicuboctahedron. Its faces are kites. Part of each kite lies inside the solid, hence is ...

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