Stellation

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, until they meet each other again. The new figure is a stellation of the original.

Read more about StellationKepler's Definition, Stellated Polygons, Stellated Polyhedra, Stellated Polytopes, Naming Stellations, Stellation To Infinity

Other articles related to "stellation, stellations":

Medial Rhombic Triacontahedron - Stellation - Related Hyperbolic Tiling
... Note that the order-5 square tiling is dual to the order-4 pentagonal tiling, and a quotient space of the order-4 pentagonal tiling is topologically equivalent to the dual of the medial rhombic triacontahedron, the dodecadodecahedron.. ...
Compound Of Great Icosahedron And Great Stellated Dodecahedron - As A Stellation
... This polyhedron, is the 15th stellation of the icosidodecahedron, and given as Wenninger model index 61 ... The stellation facets for construction are Facets from triangle Facets from pentagon ...
Stellation To Infinity
... some polyhedra, such as the cube, do not have any finite stellations ... The stellation cells are prisms which extend to infinity ... The figure comprising these prisms is a stellation to infinity ...
Stellation Diagram
... In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with this one ... of these diagrams, one for each face type, can be used to represent any stellation of the polyhedron, by shading the regions which should appear in that stellation ... A stellation diagram exists for every face of a given polyhedron ...
The Fifty-Nine Icosahedra - List of The Fifty Nine Icosahedra - Table of The Fifty-nine Icosahedra
2 First stellation of the icosahedron, small triambic icosahedron, or Triakisicosahedron 3 C 23 ... Compound of five octahedra 0906 ... !Taf. 5 E 9999 ... ! 6 F 27 ... Second stellation 9999 ... ! 7 G 41 ... Great icosahedron 1124 ... !Taf. 24 Great icosahedron 8 H 42 ... Final stellation 1114 ... !Taf ...