inscribed polyhedron

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• Inscribed sphere — In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron s faces. It is the largest sphere that is contained wholly within the polyhedron, and… …   Wikipedia

• Inscribed — Inscribe In*scribe , v. t. [imp. & p. p. {Inscribed}; p. pr. & vb. n. {Inscribing}.] [L. inscribere. See 1st {In }, and {Scribe}.] 1. To write or engrave; to mark down as something to be read; to imprint. [1913 Webster] Inscribe a verse on this… …   The Collaborative International Dictionary of English

• Dual polyhedron — The dual of a cube is an octahedron, shown here with vertices at the cube face centers …   Wikipedia

• inpolyhedron — “+ˌ noun Etymology: in (IV) + polyhedron : an inscribed polyhedron …   Useful english dictionary

• Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …   Wikipedia

• Midsphere — A polyhedron and its midsphere. The red circles are the boundaries of spherical caps within which the surface of the sphere can be seen from each vertex. In geometry, the midsphere or intersphere of a polyhedron is a sphere which is tangent to… …   Wikipedia

• Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia

• Cube — This article is about the geometric shape. For other uses, see Cube (disambiguation). Regular Hexahedron (Click here for rotating model) Type Platonic solid Elements F = 6, E = 12 V = 8 (χ = 2) …   Wikipedia

• Icosahedron — In geometry, an icosahedron (Greek: eikosaedron , from eikosi twenty + hedron seat; IPA|/ˌaɪ.kəʊ.sə.ˈhi.dɹən/; plural: drons, dra IPA|/ dɹə/) isany polyhedron having 20 faces, but usually a regular icosahedron is implied, which has equilateral… …   Wikipedia

• Polygon — For other uses, see Polygon (disambiguation). Some polygons of different kinds In geometry a polygon (   …   Wikipedia

• Icosahedral symmetry — A Soccer ball, a common example of a spherical truncated icosahedron, has full icosahedral symmetry. A regular icosahedron has 60 rotational (or orientation preserving) symmetries, and a symmetry order of 120 including transformations that… …   Wikipedia