This is a non-convex hyperbolic tesselation. It is obtained as rectification of ditdih, which in turn was an edge-faceting of ikhon. Just like doe and gad where co-centric within ditdih, in here thence id and did will be situated such as well, whereas sidtid there had been its vertex figure, i.e. comes in here as an according gap closer.

Incidence matrix according to Dynkin symbol

o5x3o3o5/2*b   (N → ∞)

. . . .      | 10N |  12 |   6   6   6 | 3 3 2
-------------+-----+-----+-------------+------
. x . .      |   2 | 60N |   1   1   1 | 1 1 1
-------------+-----+-----+-------------+------
o5x . .      |   5 |   5 | 12N   *   * | 1 1 0
. x3o .      |   3 |   3 |   * 20N   * | 1 0 1
. x . o5/2*b |   5 |   5 |   *   * 12N | 0 1 1
-------------+-----+-----+-------------+------
o5x3o .      ♦  30 |  60 |  12  20   0 | N * *
o5x . o5/2*b ♦  30 |  60 |  12   0  12 | * N *
. x3o3o5/2*b ♦  20 |  60 |   0  20  12 | * * N