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

truncated octahedron is the Archimedean solid that arises from a regular octahedron by removing six pyramids, one at each of the octahedron's vertices...

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, a triakis octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated...

Snub octahedron may refer to: Regular icosahedron Snub cube, or snub cuboctahedron This disambiguation page lists articles associated with the title Snub...

Octahedron is the fifth full-length studio album by American progressive rock band the Mars Volta, released on June 23, 2009. The album was released by...

atom, defining the vertices of an octahedron. The octahedron has eight faces, hence the prefix octa. The octahedron is one of the Platonic solids, although...

stellated octahedron. The coordinates of the icosahedron are related to two alternated sets of coordinates of a nonuniform truncated octahedron, t{3,4}...

In geometry, a Bricard octahedron is a member of a family of flexible polyhedra constructed by Raoul Bricard in 1897. The overall shape of one of these...

octagonal prism. A rhombicuboctahedron may also be known as an expanded octahedron or expanded cube. This is because the rhombicuboctahedron may also be...

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

called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen as an alternated truncated octahedron. If all the...

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

In geometry, a hemi-octahedron is an abstract regular polyhedron, containing half the faces of a regular octahedron. It has 4 triangular faces, 6 edges...

tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called a disdyakis hexahedron or hexakis...

The compound of six octahedra has two forms. One form is a symmetric arrangement of 6 octahedra, considered as square bipyramid. It is a dual of a special...

In geometry, a disdyakis dodecahedron, (also hexoctahedron, hexakis octahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron) or d48, is a...

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 graph known...

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

The tetrahedron is self-dual, i.e. it pairs with itself. The cube and octahedron are dual to each other. The icosahedron and dodecahedron are dual to each...

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...

Francesca includes a drawing of an octahedron circumscribed around a cube, with eight of the cube edges lying in the octahedron's eight faces. Three cubes inscribed...

invariantly, and takes each octahedron in the ring to a non-adjacent octahedron in the ring. Each isoclinically displaced octahedron is also rotated itself...

The Face Turning Octahedron (often abbreviated as FTO) is a combination and mechanical puzzle. Unlike cubic puzzles, the FTO is based on an octahedral...

The compound of four octahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 4 octahedra, considered as triangular antiprisms...

In geometry, a uniform polyhedron compound is a polyhedral compound whose constituents are identical (although possibly enantiomorphous) uniform polyhedra...

after Klaus Steffen [de]. It is based on the Bricard octahedron, but unlike the Bricard octahedron its surface does not cross itself. It has nine vertices...

7 is a twisty puzzle in the shape of a chamfered cube. The chamfered octahedron is a convex polyhedron constructed by truncating the 8 order-3 vertices...

2009 for Best Hard Rock Performance. The band released its fifth album, Octahedron, in June 2009. Following the release of their sixth album, Noctourniquet...

number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The nth octahedral number O n {\displaystyle...