Compound of cube and octahedron information

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

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...

solid composed of eight equilateral triangles, four of which meet at each vertex. A regular octahedron is the dual polyhedron of a cube. It is also a rectified...

orientations, and a trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry, and is the only...

uniform polyhedral compound, the stellated octahedron, which has octahedral symmetry, order 48. It has a regular octahedron core, and shares the same 8...

Polyhedral compound and Uniform polyhedron compound Compound of cube and octahedron Compound of dodecahedron and icosahedron Compound of eight octahedra...

dimensions we obtain the compound of cube and octahedron, In four dimensions we obtain the compound of tesseract and 16-cell. The graph of the n-hypercube's...

way within a single octahedron would form the compound of three cubes, but della Francesca does not depict the compound. This compound can be constructed...

as compounds of star 4-polytopes. Compound of two tetrahedra Compound of cube and octahedron Compound of dodecahedron and icosahedron Compound of great...

two can either give you an unscrambleable cuboctahedron or a compound of cube and octahedron with visible orientation on all pieces. The Skewb Ultimate...

of the two tetrahedra define a cube, and the intersection of the two define a regular octahedron, which shares the same face-planes as the compound....

the 2D equivalent of the 3D compound of cube and octahedron, + , 4D compound of tesseract and 16-cell, + and 5D compound of 5-cube and 5-orthoplex; that...

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

cupolas into the bases of a regular octagonal prism. A rhombicuboctahedron may also be known as an expanded octahedron or expanded cube. This is because the...

reflection and a rotation. A cube has the same set of symmetries, since it is the polyhedron that is dual to an octahedron. The group of orientation-preserving...

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

H. S. M. Coxeter, noting it could be derived equally from the octahedron as the cube, called it snub cuboctahedron, with a vertical extended Schläfli...

W43 may refer to: Compound of cube and octahedron Shimo-Shibetsu Station, in Hokkaido, Japan Westerhout 43, a star-forming region Woodward's 43, a skyscraper...

cuboctahedron being named the rectified cube and rectified octahedron. An alternative construction is by cutting of all of the vertices, known as truncation...

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

tetrahedron, and the pair together form the stellated octahedron, whose vertices are those of the original cube. Tetrahedron: (1,1,1), (1,−1,−1), (−1,1,−1), (−1...

some of the relations of duality amongst them (that is, that the centres of the faces of the cube gives the vertices of an octahedron). Examples of these...

tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square...

The compound of five octahedra is one of the five regular polyhedron compounds, and can also be seen as a stellation. It was first described by Edmund...

polyhedron compound is a composition of two truncated tetrahedra, formed by truncating each of the tetrahedra in the stellated octahedron. It is related...