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...

octahedron is a faceting of the cube, meaning removing part of the polygonal faces without creating new vertices of a cube. The symmetry operation of...

zonohedron, and plesiohedron. The dual polyhedron of a cube is the regular octahedron. The cube can be represented in many ways, one of which is the...

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...

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

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....

In geometry, a regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Regular octahedra occur...

other polyhedra and polyhedral compounds float in the background; the four largest are, on the upper left, the compound of cube and octahedron; on the upper...

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

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

uniform, i.e. the symmetry group of the compound acts transitively on the compound's vertices. The uniform polyhedron compounds were first enumerated by John...

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...

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

and vice versa. It can be seen as the 5-dimensional analogue of a compound of cube and octahedron. The 42 Cartesian coordinates of the vertices of the...

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

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...

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...

Its construction can be started from a cube or a regular octahedron, marking the midpoints of their edges, and cutting off all the vertices at those points...

we obtain the compound of cube and octahedron, In four dimensions we obtain the compound of tesseract and 16-cell. List of regular polytopes Hyperoctahedral...

tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called...

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...

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...

tetrahedron. The compound figure comprising two such dual tetrahedra form a stellated octahedron or stella octangula. Its interior is an octahedron, and correspondingly...

fifth octahedron to the standard 4-octahedra compound. Compound of three octahedra Compound of four octahedra Compound of ten octahedra Compound of twenty...

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...

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

geometry of 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...

duoprism. An octahedron is a regular polyhedron with eight equilateral triangles as faces. is the dual polyhedron to the cube and one of eight convex...

the tetrahedron, cube, and dodecahedron and that the discovery of the octahedron and icosahedron belong to Theaetetus, a contemporary of Plato. In any case...

infinite family of polyhedra which include the cuboctahedron, regular icosahedron, Jessen's icosahedron, and double cover octahedron. Cyclical kinematic...