congruent solids

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• 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

• 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

• Euclidean geometry — geometry based upon the postulates of Euclid, esp. the postulate that only one line may be drawn through a given point parallel to a given line. [1860 65] * * * Study of points, lines, angles, surfaces, and solids based on Euclid s axioms. Its… …   Universalium

• 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

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Trapezohedron — Set of trapezohedra Faces 2n kites Edges 4n Vertices 2n+2 Face configuration V3.3.3.n …   Wikipedia

• Dice — For other uses, see Dice (disambiguation). Four coloured dice showing all six possible sides (on a right handed, 6 sided die with pips) A die (plural dice, from Old French dé, from Latin datum something which is given or played )[1] …   Wikipedia

• Tetrahedron — For the academic journal, see Tetrahedron (journal). Regular Tetrahedron (Click here for rotating model) Type Platonic solid Elements F = 4, E = 6 V = 4 (χ = 2) Faces by s …   Wikipedia

• Stellation — is a process of constructing new polygons (in two dimensions), new polyhedra in three dimensions, or, in general, new polytopes in n dimensions. The process consists of extending elements such as edges or face planes, usually in a symmetrical way …   Wikipedia

• Isohedral figure — In geometry, a polytope (a polyhedron or a polychoron for example) or tiling is isohedral or face transitive when all its faces are the same. More specifically, all faces must be not merely congruent but must be transitive , i.e. must lie within… …   Wikipedia

• combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium