Stellation information

In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions...

first stellation of the rhombic dodecahedron is a self-intersecting polyhedron with 12 faces, each of which is a non-convex hexagon. It is a stellation of...

In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because...

A constellation is an area on the celestial sphere in which a group of visible stars forms a perceived pattern or outline, typically representing an animal...

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...

and stellation groupings. back to top back to top back to top List of uniform polyhedra The fifty nine icosahedra List of polyhedral stellations Wenninger...

In geometry, this polyhedron can be seen as either a polyhedral stellation or a compound. It can be seen as the compound of an icosahedron and dodecahedron...

golden ratio. The icosahedron has a large number of stellations. Coxeter et al. (1938) stated 59 stellations were identified for the regular icosahedron. The...

{5/2, 3}, having three regular star pentagonal faces around each vertex. Stellation is the process of extending the faces or edges of a polyhedron until they...

of polyhedra. Faceting is the reciprocal or dual process to stellation. For every stellation of some convex polytope, there exists a dual faceting of the...

icosahedron" ("Uniform polyhedron") at MathWorld. Weisstein, Eric W. "Fifteen stellations of the icosahedron". MathWorld. Uniform polyhedra and duals...

three dimensions, a stellation extends a polyhedron to form a new figure that is also a polyhedron. The following is a list of stellations of various polyhedra...

also be obtained as a sequence of stellations of a convex regular core polygon. Constructions based on stellation also allow regular polygonal compounds...

meet to form a new polyhedron. Several such stellations have been described by Dorman Luke. The first stellation, often simply called the stellated rhombic...

represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book Polyhedron Models as model 28, the third stellation of icosahedron...

and octahedron is a polyhedron which can be seen as either a polyhedral stellation or a compound. The 14 Cartesian coordinates of the vertices of the compound...

disconnected plane figures as still being faces) coincides with one of the stellations of the icosahedron. If instead, after removing the surrounded parts of...

The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula (Latin for "eight-pointed star"), a name given...

the Platonic solids by a process called stellation. Most stellations are not regular. The study of stellations of the Platonic solids was given a big push...

and this compound, called the stella octangula, is its first and only stellation. Correspondingly, a regular octahedron is the result of cutting off from...

Zimmermann), ran CP/M-86, MS-DOS, and UCSD Pascal Motorola 6809 – The Mill, by Stellation Two, ran OS-9 Level One. AP10 by IBS running FLEX Motorola 68008 – mc...

There are also three regular star dodecahedra, which are constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120...

fully supported stellations. Another stellation of the Rhombic triacontahedron is the compound of five cubes. The total number of stellations of the rhombic...