deltoidal icositetrahedron

It is a stellation of the deltoidal icositetrahedron.

In geometry, the great deltoidal icositetrahedron is the dual of the nonconvex great rhombicuboctahedron.

The deltoidal icositetrahedron is topologically equivalent to a cube whose faces are divided in quadrants.

The deltoidal icositetrahedron is a crystal habit often formed by the mineral analcime and occasionally garnet.

It is similar to the deltoidal icositetrahedron, but has a twist, similar to the relationship between the pseudorhombicuboctahedron and the rhombicuboctahedron.

The deltoidal icositetrahedron is one of a family of duals to the uniform polyhedra related to the cube and regular octahedron.

Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

The tetragonal trisoctahedron is another name for the deltoidal icositetrahedron, a different polyhedron with three quadrilateral faces for every face of an octahedron.

(The thirteen semiregular convex polyhedra and their duals, Page 23, Deltoidal icositetrahedron)

The deltoidal icositetrahedron, deltoidal hexecontahedron, and trapezohedron are polyhedra with congruent kite-shaped facets.

(Note: the word "trapezohedron" as used here and in most mineral texts refers to the shape called a Deltoidal icositetrahedron in solid geometry.)

In geometry, a deltoidal icositetrahedron (also a trapezoidal icositetrahedron and tetragonal icosikaitetrahedron) is a Catalan solid which looks a bit like an overinflated cube.