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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.
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, 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 ...
The deltoidal icositetrahedron, deltoidal hexecontahedron, and trapezohedron are polyhedra with congruent kite-shaped faces, [36] which can alternatively be thought of as tilings of the sphere by congruent spherical kites. [37] There are infinitely many face-symmetric tilings of the hyperbolic plane by kites. [38]
In geometry, a tessellation of dimension 2 (a plane tiling) or higher, or a polytope of dimension 3 ... The deltoidal icositetrahedron has 1 face type.
Great deltoidal icositetrahedron; Great dirhombicosidodecacron; ... Sierpinski triangle (fractal geometry) Special right triangles; Spiral of Theodorus; Thomson cubic;
The rhombicuboctahedron is an Archimedean solid, and its dual is a Catalan solid, the deltoidal icositetrahedron. The elongated square gyrobicupola is a polyhedron that is similar to a rhombicuboctahedron, but it is not an Archimedean solid because it is not vertex-transitive. The rhombicuboctahedron is found in diverse cultures in architecture ...
In geometry, a deltoidal hexecontahedron (also sometimes called a trapezoidal hexecontahedron, a strombic hexecontahedron, or a tetragonal hexacontahedron [1]) is a Catalan solid which is the dual polyhedron of the rhombicosidodecahedron, an Archimedean solid.