Deltoidal icositetrahedron
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Type	Catalan
Face polygon	kite
Faces	24
Edges	48
Vertices	26 = 6 + 8 + 12
Face configuration	V3.4.4.4
Symmetry group	octahedral (Oh)
Dual polyhedron	rhombicuboctahedron
Properties	convex, face-uniform

A deltoidal icositetrahedron (or trapezoidal icositetrahedron) is a catalan solid which looks a bit like an overinflated cube. Its dual polyhedron is called a Rhombicuboctahedron. Download high resolution version (845x837, 71 KB)Deltoidal icositetrahedron, made by me using POV-Ray, see image:poly. ... Spinning deltoidal antifnordoid megaicositetrasuperhedron, 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. ... A separate article is about kite flying. ... In geometry, a face configuration is notational description of a face-uniform polyhedron. ... 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 rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces. ... A rhombic dodecahedron In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. ... Three dimensions A cube (or hexahedron) is a Platonic solid composed of six square faces, with three meeting at each vertex. ... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... The rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces. ...

See also

Deltohedron The trapezohedra are the Dual polyhedrons of the antiprisms. ...