In the geometry of hyperbolic 3-space, the tetrahedral-triangular tiling honeycomb is a paracompact uniform honeycomb, constructed from triangular tiling, tetrahedron, and octahedron cells, in an icosidodecahedron vertex figure.
It has a single-ring Coxeter diagram, , and is named by its two regular cells.
A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no gaps.
It is an example of the more general mathematical tiling or tessellation in any number of dimensions.
They may also be constructed in non-Euclidean spaces, such as hyperbolic uniform honeycombs.