When each esquidpy additionally would be considered an exterior blend of 1 cube and 2 squippies, this very honeycomb becomes 5Y4-4T-4P4.

Incidence matrix according to Dynkin symbol

s∞x2s4o4o   (N → ∞)

demi( . . . . . ) | 2N | 1  4  4 |  4 12 |  4 5
------------------+----+---------+-------+-----
      . x . . .   |  2 | N  *  * |  4  0 |  0 4
      s 2 s . .   |  2 | * 4N  * |  0  4 |  2 2
      . . s4o .   |  2 | *  * 4N |  1  2 |  1 2
------------------+----+---------+-------+-----
      . x2s4o .   |  4 | 2  0  2 | 2N  * |  0 2
sefa( s 2 s4o . ) |  3 | 0  2  1 |  * 8N |  1 1
------------------+----+---------+-------+-----
      s 2 s4o .   ♦  4 | 0  4  2 |  0  4 | 2N *
sefa( s∞x2s4o4o ) ♦ 10 | 4  8  8 |  4  8 |  * N

starting figure: x∞x x4o4o

s∞x2o4s4o   (N → ∞)

demi( . . . . . ) | 2N | 1  4  2  2 | 2 2  6  6 | 2 2 5
------------------+----+------------+-----------+------
      . x . . .   |  2 | N  *  *  * | 2 2  0  0 | 0 0 4
      s 2 . s .   |  2 | * 4N  *  * | 0 0  2  2 | 1 1 2
      . . o4s .   |  2 | *  * 2N  * | 1 0  2  0 | 1 0 2
      . . . s4o   |  2 | *  *  * 2N | 0 1  0  2 | 0 1 2
------------------+----+------------+-----------+------
      . x2o4s .   |  4 | 2  0  2  0 | N *  *  * | 0 0 2
      . x 2 s4o   |  4 | 2  0  0  2 | * N  *  * | 0 0 2
sefa( s 2 o4s . ) |  3 | 0  2  1  0 | * * 4N  * | 1 0 1
sefa( s 2 . s4o ) |  3 | 0  2  0  1 | * *  * 4N | 0 1 1
------------------+----+------------+-----------+------
      s 2 o4s .   ♦  4 | 0  4  2  0 | 0 0  4  0 | N * *
      s 2 . s4o   ♦  4 | 0  4  0  2 | 0 0  0  4 | * N *
sefa( s∞x2o4s4o ) ♦ 10 | 4  8  4  4 | 2 2  4  4 | * * N

starting figure: x∞x o4x4o