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regular octahedron

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  • regular octahedron — noun an octahedron with eight equilateral triangles as faces • Hypernyms: ↑regular polyhedron, ↑regular convex solid, ↑regular convex polyhedron, ↑Platonic body, ↑Platonic solid, ↑ideal solid …   Useful english dictionary

  • Octahedron — Oc ta*he dron, n. [Gr.?, fr. ? eight side; okta (for oktw eight) + ? seat, base, from ? to sit.] (Geom.) A solid bounded by eight faces. The regular octahedron is contained by eight equal equilateral triangles. [1913 Webster] …   The Collaborative International Dictionary of English

  • Octahedron — For the album by The Mars Volta, see Octahedron (album). Regular Octahedron (Click here for rotating model) Type Platonic solid Elements F = 8, E = 12 V = 6 (χ = 2) Faces by sides …   Wikipedia

  • Regular polytope — In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j faces (for all 0≤ j ≤ n , where n is the dimension of the polytope) cells, faces and… …   Wikipedia

  • octahedron — n. (pl. octahedrons or octahedra) 1 a solid figure contained by eight (esp. triangular) plane faces. 2 a body, esp. a crystal, in the form of a regular octahedron. Phrases and idioms: regular octahedron an octahedron contained by equal and… …   Useful english dictionary

  • octahedron — noun a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids. See Also: octahedral …   Wiktionary

  • octahedron —    A polyhedron with eight triangular faces. The sides of a right octahedron are identical isosceles triangles. The regular octahedron is one of the five Platonic solids (along with the tetrahedron, hexahedron (cube), dodecahedron, and… …   Glossary of Art Terms

  • regular convex polyhedron — noun any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent • Syn: ↑regular polyhedron, ↑regular convex solid, ↑Platonic body, ↑Platonic solid, ↑ideal solid • Hypernyms: ↑polyhedron …   Useful english dictionary

  • regular convex solid — noun any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent • Syn: ↑regular polyhedron, ↑regular convex polyhedron, ↑Platonic body, ↑Platonic solid, ↑ideal solid • Hypernyms: ↑polyhedron …   Useful english dictionary

  • regular polyhedron — noun any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent • Syn: ↑regular convex solid, ↑regular convex polyhedron, ↑Platonic body, ↑Platonic solid, ↑ideal solid • Hypernyms: ↑polyhedron …   Useful english dictionary

  • Regular tetrahedron — Tetrahedron Tet ra*he dron, n. [Tetra + Gr. ? seat, base, fr. ? to sit.] (Geom.) A solid figure inclosed or bounded by four triangles. [1913 Webster] Note: In crystallography, the regular tetrahedron is regarded as the hemihedral form of the… …   The Collaborative International Dictionary of English

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