In geometry, the great icosahedron is a Kepler-Poinsot solid. It is one of four concave regular polyhedra. A Kepler solid (also called Kepler-Poinsot solid) is a regular non-convex polyhedron, all the faces of which are identical regular polygons and which has the same number of faces meeting at all its vertices (compare to Platonic solids). ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... The symmetry group of an object (e. ... Jump to: navigation, search The icosahedral rotation group I with fundamental domain Apart from the two infinite series of prismatic and antiprismatic symmetry, rotational icosahedral symmetry or chiral icosahedral symmetry of chiral objects and full icosahedral symmetry or achiral icosahedral symmetry are the discrete point symmetries (or equivalently, symmetries on... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... In geometry, concavity is a property of certain geometric figures, and in calculus, a property of certain graphs of functions. ... Jump to: navigation, search Geometry (Greek γεωμετÏία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. ... A Kepler solid (also called Kepler-Poinsot solid) is a regular non-convex polyhedron, all the faces of which are identical regular polygons and which has the same number of faces meeting at all its vertices (compare to Platonic solids). ...
It is composed of 20 triangular faces, with five triangles meeting at each vertex in a pentagrammic sequence.
The 12 vertices match the locations for an icosahedron. Jump to: navigation, search An icosahedron [ËŒaıkÉ™sÉ™hiËdrÉ™n] noun (plural: -drons, -dra [-drÉ™]) is a polyhedron having 20 faces, but usually a regular icosahedron is meant. ...
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