Therefore eight triangles and eighteen (that is, twelve and six) squares join up to make an icosihexahedron, which I call a truncated cuboctahedral rhombus or a rhombicuboctahedron.
Wikipedia foundation.
Rhombicuboctahedron — The rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces. There are 24 identical vertices, with one triangle and three squares meeting at each. Note that six of the squares… … Wikipedia
Nonconvex great rhombicuboctahedron — Type Uniform star polyhedron Elements F = 26, E = 48 V = 24 (χ = 2) Faces by sides 8{3}+(6+12){4} Wytho … Wikipedia
Uniform great rhombicuboctahedron — In geometry, the Uniform great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17.It shares the vertex arrangement with the convex truncated cube.This model shares the name with the convex great rhombicuboctahedron, which is… … Wikipedia
Convex uniform honeycombs in hyperbolic space — The {5,3,4} honeycomb in 3D hyperbolic space, viewed in perspective In geometry, a convex uniform honeycomb is a tessellation of convex uniform polyhedron cells. In 3 dimensional hyperbolic space there are nine Coxeter group f … Wikipedia
Runcinated tesseract — Tesseract … Wikipedia
Convex uniform honeycomb — The alternated cubic honeycomb is one of 28 space filling uniform tessellations in Euclidean 3 space, composed of alternating yellow tetrahedra and red octahedra. In geometry, a convex uniform honeycomb is a uniform tessellation which fills three … Wikipedia
Truncated cuboctahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 26, E = 72, V = 48 (χ = 2) Faces by sides … Wikipedia
Runcitruncated 16-cell — In geometry, the runcitruncated 16 cell is a convex uniform polychoron, or 4 dimensional polytope, bounded by 80 cells: 8 small rhombicuboctahedra, 16 truncated tetrahedra, 24 cubes, and 32 hexagonal prisms.ConstructionThe runcitruncated 16 cell… … Wikipedia
Cantellated tesseract — In geometry, the cantellated tesseract is a uniform polychora or 4 dimensional polytope bounded by 56 cells: 8 small rhombicuboctahedra, 16 octahedra, and 32 triangular prisms.ConstructionIn the process of cantellation, a polytopes faces are… … Wikipedia
Snub cube — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 38, E = 60, V = 24 (χ = 2) Faces by sides (8+24){3}+6{4} … Wikipedia
