Regular Polyhedron

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Platonic solid

also known as regular polyhedron

Geometric solid all of whose faces are identical regular polygons and all of whose angles are equal. There are only five such polyhedrons. The cube is constructed from the square, the dodecahedron from the regular pentagon, and the tetrahedron, octahedron, and icosahedron (with 20 faces) from the equilateral triangle. They are known as the Platonic solids because of Plato's attempt to relate each to one of the five elements that he believed formed the world.

regular polyhedron [′reg·yə·lər ‚päl·i′hē·drən]

(mathematics)

A polyhedron all of whose faces are regular polygons, and whose polyhedral angles are congruent. Also known as platonic solid.

Polyhedron, Regular

a polyhedron whose faces are identical regular polygons and whose polyhedral angles at the vertices are identical. There are five convex regular polyhedrons: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.

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No references found			He reviews linear algebras, then describes the group and its subsets, including homomorphism of two groups and the proper symmetric group of a regular polyhedron, the theory of linear representations of groups, the three-dimensional rotation group, permutation groups, Lie groups and Lie algebras, unitary groups, real orthogonal groups and symplectic groups. Group theory for physicists by SciTech Book News			regular Baire measure regular Banach space regular Borel measure regular cluster regular connective tissue regular coursed rubble regular curve regular definition regular dodecahedron regular element regular expression Regular Expression Converter regular extension Regular Forces regular function regular graph regular icosahedron regular lay regular map regular motor oil Regular Octahedron regular parameter regular permutation group Regular Point regular polygon Regular Polyhedron regular polymer regular polytope regular prism regular pyramid regular reflection regular reflector regular representation regular sampling regular sequence regular singular point regular space Regular System of Points regular tetrahedron regular topological space regular variable star regular ventilating circuit regular-lay left twist Regularia regularization Regulated Capitalism, Theories of regulated item regulated power supply regulated split regulated-set cement Regulating Devices of the State System of Industrial Instruments and			Regular Military Compensation Regular modified cylindrical Bessel functions Regular Monthly Mortgage Payment regular motor oil Regular Multiple Trellis-Coded Modulation Regular Navy Regular octagon Regular octagon regular octahedron regular octahedron Regular Officer Training Plan Regular or Refueling Overhaul Regular Packet Discard regular parameter Regular Part Time regular payment Regular Peacetime Operating Stock Regular Peacetime Operating Stock Requirement Regular pentagon Regular pentagon regular performance regular permutation group Regular Physical Education regular point regular polygon regular polygon Regular polygons Regular polygons Regular polyhedra Regular polyhedra Regular Polyhedron regular polymer Regular polytope Regular polytopes Regular Positive and Negative Inference regular prism regular procedure regular proceeding Regular Production Accessories Regular Production Option Regular Program District Cost Regular Public Transport Regular Pulse Excitation Regular Pulse Excitation with Long-Term Prediction Regular Pulse Excitation-Long Term Prediction regular pyramid Regular Radio Regular Radio Regular Radio Regular Rate and Rhythm regular recurrence regular recurrence Regular Reenlistment Bonus Regular reflection Regular reflection regular reflector Regular representation Regular Retirement Date Regular Right Part Grammar

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