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This hypercompact hyperbolic tesselation uses ditetetrat in the sense of an infinite bollohedron for its vertex figure.

The most obvious description of this hypercompact hyperbolic tesselation can be seen from the second row of its incidence matrix: having alternatingly 4 tets and 4 octs around each edge. As such it is a member of the series x3o3oPo4*b, starting from P=2 with the euclidean honeycomb octet, i.e. having 2 of each per edge.

Incidence matrix according to Dynkin symbol

x3o3o4o4*b   (N,M → ∞)

. . . .    | 2N ♦  3M | 12M |  4M 3M
-----------+----+-----+-----+-------
x . . .    |  2 | 3NM |   8 |   4  4
-----------+----+-----+-----+-------
x3o . .    |  3 |   3 | 8NM |   1  1
-----------+----+-----+-----+-------
x3o3o .    ♦  4 |   6 |   4 | 2NM  * 
x3o . o4*b ♦  6 |  12 |   8 |   * NM