Polyhedron composed exclusively of one type of polygonal face meeting at identical vertices.

(1) A polyhedron with all faces the same shape and same size. There are five regular polyhedrons: tetrahedron: 4 faces, each formed by an equilateral triangle cube: 6 faces, each formed by a square. octahedron: 8 faces, each formed by an equilateral triangle. dodecahedron: 12 faces, each formed by a regular pentagon icosahedron: 20 faces, each formed by an equilateral triangle.

Composed Exclusively of 1 Type of Polygonal Face

A polyhedron whose faces are congruent regular polygons and where each vertex figure (how the polygons meet at a vertex) is identical; also called a Platonic solid

a polyhedron in which all the faces are identical regular polygons and in which the same number of faces and the same number of edges meet at each vertex

any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent

a geometric solid, all of whose faces are congruent regular polygons, in which the same number of polygons meet at each vertex

a perfectly symmetrical solid in which all faces are identical and regular (all sides equal) polygons

a polyhedron such that Every face is a regular polygon

a polyhedron that is composed of congruent regular polygons with the same vertex code everywhere

a polyhedron whose faces are all congruent regular polygons, and whose vertex figures are all congruent and regular

a polyhedron whose faces are all congruent regular polygons, and whose vertex figures are all congurent andregular

a polyhedron whose faces are all regular polygons which are identical in both shape and size

a polyhedron whose faces are all the same regular polygon and whose vertices are congruent

a three-dimensional shape whose edges are all of equal length, whose faces are all identical and equilateral, and whose corners all touch the surface of a circumscribing sphere

A polyhedron with faces that are all congruent regular polygons and their interiors. There are five regular polyhedrons: tetrahedron 4 faces, each formed by an equilateral triangle cube 6 faces, each formed by a square octahedron 8 faces, each formed by an equilateral triangle dodecahedron 12 faces, each formed by a regular pentagon icosahedron 20 faces, each formed by an equilateral triangle

A polyhedron whose faces are enclosed by congruent, regular polygons that meet at each vertex in exactly the same way (Lesson 11.1 ).

A regular polyhedron is a polyhedron whose faces are identical (or, technically, congruent) regular polygons and which has the same number of faces around each vertex. Regular polyhedra are edge-uniform, vertex-uniform and face-uniform.