regular polygons

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• Tiling by regular polygons — Plane tilings by regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in Harmonices Mundi . Regular tilings Following Grünbaum and Shephard (section 1.3), a tiling is said to be… …   Wikipedia

• Regular Polytopes (book) — Regular Polytopes is a mathematical geometry book written by Canadian mathematician H.S.M. Coxeter. Originally written in 1947, the book was updated and republished in 1963 and 1973.The book is a comprehensive survey of the geometry of regular… …   Wikipedia

• Regular — Reg u*lar ( l?r), a. [L. regularis, fr. regula a rule, fr. regere to guide, to rule: cf. F. r[ e]gulier. See {Rule}.] [1913 Webster] 1. Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established customary… …   The Collaborative International Dictionary of English

• Regular polygon — Regular Reg u*lar ( l?r), a. [L. regularis, fr. regula a rule, fr. regere to guide, to rule: cf. F. r[ e]gulier. See {Rule}.] [1913 Webster] 1. Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established… …   The Collaborative International Dictionary of English

• Regular polyhedron — Regular Reg u*lar ( l?r), a. [L. regularis, fr. regula a rule, fr. regere to guide, to rule: cf. F. r[ e]gulier. See {Rule}.] [1913 Webster] 1. Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established… …   The Collaborative International Dictionary of English

• Regular sales — Regular Reg u*lar ( l?r), a. [L. regularis, fr. regula a rule, fr. regere to guide, to rule: cf. F. r[ e]gulier. See {Rule}.] [1913 Webster] 1. Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established… …   The Collaborative International Dictionary of English

• Regular troops — Regular Reg u*lar ( l?r), a. [L. regularis, fr. regula a rule, fr. regere to guide, to rule: cf. F. r[ e]gulier. See {Rule}.] [1913 Webster] 1. Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established… …   The Collaborative International Dictionary of English

• regular — [reg′yə lər] adj. [ME reguler < MFr < L regularis, of a bar (in LL, regular) < regula: see RULE] 1. conforming in form, build, or arrangement to a rule, principle, type, standard, etc.; orderly; symmetrical [regular features] 2.… …   English World dictionary

• Regular polygon — A regular polygon is a polygon which is equiangular (all angles are congruent) and equilateral (all sides have the same length). Regular polygons may be convex or star.General propertiesThese properties apply to both convex and star regular… …   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

• Regular polyhedron — A regular polyhedron is a polyhedron whose faces are congruent (all alike) regular polygons which are assembled in the same way around each vertex. A regular polyhedron is highly symmetrical, being all of edge transitive, vertex transitive and… …   Wikipedia