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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

    The deltoidal icositetrahedron is a member of a family of duals to the uniform polyhedra related to the cube and regular octahedron. When projected onto a sphere (see right), it can be seen that the edges make up the edges of a cube and regular octahedron arranged in their dual positions .

  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. 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

  6. Tetrahedron - Wikipedia

    en.wikipedia.org/wiki/Tetrahedron

    The isometries of an irregular (unmarked) tetrahedron depend on the geometry of the tetrahedron, with 7 cases possible. In each case a 3-dimensional point group is formed. Two other isometries (C 3, [3] +), and (S 4, [2 +,4 +]) can exist if the face or edge marking are included. Tetrahedral diagrams are included for each type below, with edges ...

  7. 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.

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  9. File:Great hexacronic icositetrahedron.stl - Wikipedia

    en.wikipedia.org/wiki/File:Great_hexacronic...

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