# Semi-regular polyhedron definition

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*2019-11-15 19:10*

(redirected from Semiregular polyhedra) Polyhedron, Semiregular (also Archimedean solid), a polyhedron whose faces are regular polygons of different types and whose polyhedral angles atOct 12, 2017 In a semiregular tessellation, there is an isometry of the plane carrying any vertex to any other vertex. 2003, Saul Stahl, Geometry from Euclid to Knots, 2010, page 272, While one of the semiregular polyhedra was mentioned by Plato, their first serious study is attributed to Archimedes. semi-regular polyhedron definition

The definition of the regular solids can be generalized in several ways. The first one is the definition of the semiregular polyhedron, the second is the star polyhedron and

## Semi-regular polyhedron definition free

A semiregular polyhedron is a polyhedron with regular faces and a symmetry group which is transitive on its vertices. Or at least, that is what follows from Thorold Gosset 's 1900 definition of the more general semiregular polytope.

In its original definition, it is a polyhedron with regular faces and a symmetry group which is transitive on its vertices, which is more commonly referred to today as a uniform polyhedron (this follows from Thorold Gosset's 1900 definition of the more general semiregular polytope).

In its original definition, it is a polyhedron with regular faces and a symmetry group which is transitive on its vertices, which is more commonly referred to today as a uniform polyhedron (this follows from Thorold Gosset's 1900 definition of the more general semiregular polytope).

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A polyhedron or plane tessellation is called semiregular if its faces are all regular polygons and its corners are alike (Walsh 1972; Coxeter 1973, pp. 4 and 58; Holden 1991, p. 41). The usual name for a semiregular polyhedron is an Archimedean solid, of which there are exactly 13.

A polyhedron whose faces are identical regular polygons. All side lengths are equal, and all angles are equal. Such as this Dodecahedron (notice that each face is an identical regular pentagon).

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