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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 ...
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 ]
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.
Net. In four-dimensional geometry, the 24-cell is the convex regular 4-polytope [1] (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,4,3}. It is also called C 24, or the icositetrachoron, [2] octaplex (short for "octahedral complex"), icosatetrahedroid, [3] octacube, hyper-diamond or polyoctahedron, being constructed of octahedral cells.
In geometry, the great deltoidal icositetrahedron (or great sagittal disdodecahedron) is the dual of the nonconvex great rhombicuboctahedron.Its faces are darts. Part of each dart lies inside the solid, hence is invisible in solid models.
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 ...
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.
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