In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.
It shares the same vertex arrangement as the convex regular icosahedron. It also shares the same edge arrangement with the great icosahedron, with which it forms a degenerate uniform compound figure.
It is the second of four stellations of the dodecahedron (including the original dodecahedron itself).
The small stellated dodecahedron can be constructed analogously to the pentagram, its two-dimensional analogue, via the extension of the edges (1-faces) of the core polytope until a point is reached where they intersect.
and 24 Related for: Small stellated dodecahedron information
In geometry, the smallstellateddodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four...
are the smallstellateddodecahedron {5/2, 5}, the great dodecahedron {5, 5/2}, and the great stellateddodecahedron {5/2, 3}. The smallstellated dodecahedron...
non-trivial stellations of the dodecahedron: Smallstellateddodecahedron Great dodecahedron Great stellateddodecahedron This disambiguation page lists...
The great dodecahedron provides an easy mnemonic for the binary Golay code Compound of smallstellateddodecahedron and great dodecahedron * Baez, John...
In geometry, the great stellateddodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5⁄2,3}. It is one of four nonconvex regular polyhedra...
geometry, the smallstellated truncated dodecahedron (or quasitruncated smallstellateddodecahedron or small stellatruncated dodecahedron) is a nonconvex...
polyhedron. He stellated the regular dodecahedron to obtain two regular star polyhedra, the smallstellateddodecahedron and great stellateddodecahedron. He also...
compound of smallstellateddodecahedron and great dodecahedron is a polyhedron compound where the great dodecahedron is internal to its dual, the small stellated...
U36. It is the rectification of the great dodecahedron (and that of its dual, the smallstellateddodecahedron). It was discovered independently by Hess (1878)...
4-polytope Icosahedral 120-cell Smallstellated 120-cell Great 120-cell Grand 120-cell Great stellated 120-cell Grand stellated 120-cell Great grand 120-cell...
polyhedron. Three are regular compound polyhedra. The smallstellateddodecahedron, great dodecahedron, and great icosahedron are three facetings of the regular...
Kepler–Poinsot polyhedra: smallstellateddodecahedron, great dodecahedron, and great icosahedron. They all have 30 edges. The regular dodecahedron can be faceted...
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at...
cube and octahedron Compound of smallstellateddodecahedron and great dodecahedron Compound of great stellateddodecahedron and great icosahedron Wenninger...
complex icosidodecahedron can be considered a compound of the smallstellateddodecahedron, {5/2,5}, and great icosahedron, {3,5/2}, sharing the same vertices...
Compound of dodecahedron and icosahedron Compound of smallstellateddodecahedron and great dodecahedron Compound of great stellateddodecahedron and great...
tessellate space to form the stellated rhombic dodecahedral honeycomb. The first stellation of the rhombic dodecahedron has 12 faces, each of which is...
geometry, the great stellated truncated dodecahedron (or quasitruncated great stellateddodecahedron or great stellatruncated dodecahedron) is a nonconvex...
This is an indexed list of the uniform and stellated polyhedra from the book Polyhedron Models, by Magnus Wenninger. The book was written as a guide book...
polyhedron is the truncation of the great dodecahedron: The truncated smallstellateddodecahedron looks like a dodecahedron on the surface, but it has 24 faces...
There are two different compounds of great icosahedron and great stellateddodecahedron: one is a dual compound and a stellation of the great icosidodecahedron...
the smallstellated truncated dodecahedron, the small dodecicosidodecahedron (having the triangular and pentagonal faces in common), and the small rhombidodecahedron...
Global Information
