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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 crystal habit often formed by the mineral analcime and occasionally garnet. The shape is often called a trapezohedron in mineral contexts, although in solid geometry the name trapezohedron has another meaning.

  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

    The truncated icosahedron is an Archimedean solid, meaning it is a highly symmetric and semi-regular polyhedron, and two or more different regular polygonal faces meet in a vertex. [5] It has the same symmetry as the regular icosahedron, the icosahedral symmetry , and it also has the property of vertex-transitivity .

  6. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Small hexacronic icositetrahedron; Small hexagonal hexecontahedron; Small hexagrammic hexecontahedron; Small icosacronic hexecontahedron; Small icosihemidodecacron; Small rhombidodecacron; Small rhombihexacron; Small stellapentakis dodecahedron; Small triambic icosahedron; Tetrahemihexacron

  7. Icosahedron - Wikipedia

    en.wikipedia.org/wiki/Icosahedron

    In geometry, an icosahedron (/ ˌ aɪ k ɒ s ə ˈ h iː d r ən,-k ə-,-k oʊ-/ or / aɪ ˌ k ɒ s ə ˈ h iː d r ən / [1]) is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι (eíkosi) 'twenty' and ἕδρα (hédra) 'seat'. The plural can be either "icosahedra" (/-d r ə /) or "icosahedrons".

  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. Icositetragon - Wikipedia

    en.wikipedia.org/wiki/Icositetragon

    In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon's interior angles is 3960 degrees. The sum of any icositetragon's interior angles is 3960 degrees.