Deltoidal hexecontahedron
Click on picture for large version. Click here for spinning version.
Type	Catalan
Face polygon	kite
Faces	60
Edges	120
Vertices	62 = 12 + 20 + 30
Face configuration	3,4,4,4
Symmetry group	icosahedral (Ih)
Dual polyhedron	rhombicosidodecahedron
Properties	convex, face-uniform, don't know what else

A deltoidal hexecontahedron is a catalan solid which looks a bit like an overinflated dodecahedron. It is sometimes also called the trapezoidal hexecontahedron or strombic hexecontahedron. Download high resolution version (854x843, 102 KB)Deltoidal hexecontahedron, made by me using POV-Ray, see image:poly. ... Spinning deltoidal hexecontahedron, 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. ... The word kite has a number of possible meanings: A kite is a man-made, heavier-than-air object, designed to fly by opposing the force of the wind with the tension of a line held by the operator. ... The symmetry group of an object (e. ... The icosahedral rotation group I with fundamental domain Apart from the two infinite series of prismatic and antiprismatic symmetry, rotational icosahedral symmetry or chiral icosahedral symmetry of chiral objects and full icosahedral symmetry or achiral icosahedral symmetry are the discrete point symmetries (or equivalently, symmetries on the sphere) with the... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... The rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid. ... A rhombic dodecahedron In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. ... A dodecahedron is literally a polyhedron with 12 faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve pentagonal faces, with three meeting at each vertex. ...

See also

• Deltohedron