The order-6 tetrahedral honeycomb is similar to the two-dimensional infinite-order triangular tiling, {3,∞}.
Both tessellations are regular, and only contain triangles and ideal vertices.

The order-6 tetrahedral honeycomb is also a regular hyperbolic honeycomb in 3-space, and one of 11 which are paracompact.

This honeycomb is one of 15 uniform paracompact honeycombs in the [6,3,3] Coxeter group, along with its dual, the hexagonal tiling honeycomb.

The order-6 tetrahedral honeycomb is part of a sequence of regular polychora and honeycombs with tetrahedral cells.

It is also part of a sequence of honeycombs with triangular tiling vertex figures.
The order-6 tetrahedral honeycomb is similar to the two-dimensional infinite-order triangular tiling, {3,∞}. Both tessellations are regular, and only contain triangles and ideal vertices.
The order-6 tetrahedral honeycomb is also a regular hyperbolic honeycomb in 3-space, and one of 11 which are paracompact.
This honeycomb is one of 15 uniform paracompact honeycombs in the [6,3,3] Coxeter group, along with its dual, the hexagonal tiling honeycomb.
The order-6 tetrahedral honeycomb is part of a sequence of regular polychora and honeycombs with tetrahedral cells.
It is also part of a sequence of honeycombs with triangular tiling vertex figures.
Order-6 tetrahedral honeycomb