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...

In geometry, an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid...

faces for every face of an octahedron. This convex polyhedron is topologically similar to the concave stellated octahedron. They have the same face connectivity...

dodecahedron. He also stellated the regular octahedron to obtain the stella octangula, a regular compound of two tetrahedra. Stellating a regular polygon...

The small stellated dodecahedral (or great dodecahedral) dual compound has the great dodecahedron completely interior to the small stellated dodecahedron...

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...

creating new vertices of a cube, the resulting polyhedron is the stellated octahedron. The cube is non-composite polyhedron, meaning it is a convex polyhedron...

Polyhedron". MathWorld. Maeder, Roman. "19: stellated truncated hexahedron". MathConsult. Weisstein, Eric W. "Stellated truncated hexahedron". MathWorld. v t...

truncated tetrahedra, formed by truncating each of the tetrahedra in the stellated octahedron. It is related to the cantic cube construction of the truncated tetrahedron...

compound stellated octahedron. The coordinates of the icosahedron are related to two alternated sets of coordinates of a nonuniform truncated octahedron, t{3...

being more symmetrical than others. The best known is the (convex, non-stellated) regular icosahedron—one of the Platonic solids—whose faces are 20 equilateral...

dodecahedron and icosahedron Compound of small stellated dodecahedron and great dodecahedron Compound of great stellated dodecahedron and great icosahedron Wenninger...

n-dimensional simplices. In three dimensions, the analogous compound is the stellated octahedron, and in four dimensions the compound of two 5-cells is obtained....

In geometry, the great triakis octahedron is the dual of the stellated truncated hexahedron (U19). It has 24 intersecting isosceles triangle faces. Part...

tanks "Merkaba", a song by Tool from their 2000 box set Salival The stellated octahedron, a polyhedral compound and stellation named "merkaba" by some contemporary...

small stellated dodecahedron {⁠5/2⁠,5}, the great dodecahedron {5,⁠5/2⁠}, and the great stellated dodecahedron {⁠5/2⁠,3}. The small stellated dodecahedron...

A regular octahedron has 24 rotational (or orientation-preserving) symmetries, and 48 symmetries altogether. These include transformations that combine...

octangula number, the number of spheres packed in the shape of a stellated octahedron. It is also an icosahedral number. There are 124 different polygons...

4-polytope Icosahedral 120-cell Small stellated 120-cell Great 120-cell Grand 120-cell Great stellated 120-cell Grand stellated 120-cell Great grand 120-cell...

original faces down to points, and producing the great stellated dodecahedron. The truncated great stellated dodecahedron is a degenerate polyhedron, with 20...

Additional sonobe unit folding instructions (WikiHow) 12-unit stellated octahedron assembly instructions 30-unit stellated icosahedron assembly instructions...

star 4-polytopes: the grand 120-cell, great stellated 120-cell, grand 600-cell, and great grand stellated 120-cell. He skipped the remaining six because...

In mathematics, the compound of three octahedra or octahedron 3-compound is a polyhedral compound formed from three regular octahedra, all sharing a common...

In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,3}...

two tetrahedra Compound of cube and octahedron Compound of dodecahedron and icosahedron Compound of small stellated dodecahedron and great dodecahedron...

itself. The cube and octahedron are dual to each other. The icosahedron and dodecahedron are dual to each other. The small stellated dodecahedron and great...

dodecahedron, is a stellated triacontahedron.) Another stellated icosahedron can at once be deduced, by stellating each octahedron into a stella octangula...

tetrahedra form a stellated octahedron or stella octangula. Its interior is an octahedron, and correspondingly, a regular octahedron is the result of cutting...

octahedral symmetry, also exists. It can be generated by adding a fifth octahedron to the standard 4-octahedra compound. Compound of three octahedra Compound...

stellated dodecahedra) which is vertex-transitive and face-transitive but not edge-transitive. Its convex hull is a nonuniform truncated octahedron....