A triakis octahedron is a catalan solid which looks a bit like an overinflated octahedron. Download high resolution version (679x745, 67 KB)Triakis octahedron, made by me using POV-Ray, see image:poly. ... Spinning triakis octahedron, made by me using POV-Ray, see image:poly. ... A rhombic dodecahedron In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. ... For alternate meanings, such as the musical instrument, see triangle (disambiguation). ... The symmetry group of an object (e. ... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... The truncated octahedron, also known as a Mecon, is an Archimedean solid. ... A rhombic dodecahedron In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. ... An octahedron (plural: octahedra) is a polyhedron with eight faces. ...
A regular octahedron is a Platonic solid composed of eight faces each of which is an equilateral triangle four of which meet at each vertex.
The regular octahedron is a special kind of triangular antiprism and of square bipyramid, and is dual to the cube.
The vertices of the octahedron lie at the midpoints of the edges of the tetrahedron, and in this sense it relates to the tetrahedron in the same way that the cuboctahedron and icosidodecahedron relate to the other Platonic solids.
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