This is the complete enumeration of the 76 Wythoffian uniform honeycombs.

The alternations are listed for completeness, but don't in general generate uniform honeycombs.

Combining these counts, 18 and 10 gives us the total 28 uniform honeycombs.

It is an element of three uniform honeycombs:

See also convex uniform honeycombs, some of which illustrate these operations as applied to the regular cubic honeycomb.

The 2 honeycomb is one of 127 uniform honeycombs (39 unique) with symmetry.

There are 9 uniform honeycombs that include triangular prism cells:

It is one of 28 uniform honeycombs.

There are 19 uniform honeycombs in this family.

There are 23 uniform honeycombs, 4 unique in the demitesseractic honeycomb family.