Acronym ...
Name hyperbolic o4s4o3*a4s4o3*a tetracomb
Circumradius 1/sqrt(-16) = 0.25 i
Confer
general polytopal classes:
scaliform  

This hypercompact hyperbolic tetracomb uses hihexat in the sense of an infinite bollohedron and squat in the sense of an infinite horohedron as cell. Further o3o3o4s4*b and s4o3o4s4*b get being used as infinite bollochora.

This hemiation indeed becomes scaliform, because all edges by mere alternation already do have the same size: diagonals of either of the former squares. I.e. no afterwards edge resizements are required (except of a homogenuous global scaling). However, because of the introduction of the former vertex figure as a further facet, which here just is scaliform in turn, it cannot become uniform.


Incidence matrix according to Dynkin symbol

o4s4o3*a4s4o3*a   (N,M,K,L,P → ∞)

demi( . . .    . .    )   | 4NMKLP |      24      12      24 |      48      48      24      72 |      8     12      8      24      72     24      24 |   8    2      6     24
--------------------------+--------+-------------------------+---------------------------------+-----------------------------------------------------+-----------------------
      o4s .    . .    ) & |      2 | 48NMKLP       *       * |       2       2       2       0 |      1      1      1       0       4      2       0 |   2    1      0      2
      . s4o    . .    ) & |      2 |       * 24NMKLP       * |       4       0       0       4 |      2      0      0       2       4      2       2 |   2    1      1      2
      . s 2    s .    )   |      2 |       *       * 48NMKLP |       0       2       0       4 |      0      1      0       2       4      0       2 |   2    0      1      2
--------------------------+--------+-------------------------+---------------------------------+-----------------------------------------------------+-----------------------
sefa( o4s4o3*a . .    ) & |      6 |       3       3       0 | 32NMKLP       *       *       * |      1      0      0       0       1      1       0 |   1    1      0      1
sefa( o4s . *a4s .    )   |      4 |       2       0       2 |       * 48NMKLP       *       * |      0      1      0       0       2      0       0 |   2    0      0      1
sefa( o4s .    . o3*a ) & |      3 |       3       0       0 |       *       * 32NMKLP       * |      0      0      1       0       1      1       0 |   1    1      0      1
sefa( . s4o    s .    ) & |      3 |       0       1       2 |       *       *       * 96NMKLP |      0      0      0       1       1      0       1 |   1    0      1      1
--------------------------+--------+-------------------------+---------------------------------+-----------------------------------------------------+-----------------------
      o4s4o3*a . .      &      2M |      3M      3M       0 |      2M       0       0       0 | 16NKLP      *      *       *       *      *       * |   1    1      0      0
      o4s . *a4s .             2K |      2K       0      2K |       0      2K       0       0 |      * 24NMLP      *       *       *      *       * |   2    0      0      0
      o4s .    . o3*a   &       4 |       6       0       0 |       0       0       4       0 |      *      * 8NMKLP       *       *      *       * |   1    1      0      0
      . s4o    s .      &       4 |       0       2       4 |       0       0       0       4 |      *      *      * 24NMKLP       *      *       * |   1    0      1      0
sefa( o4s4o3*a4s .    ) &       9 |       6       3       6 |       1       3       1       3 |      *      *      *       * 32NMKLP      *       * |   1    0      0      1
sefa( o4s4o3*a . o3*a ) &      12 |      12       6       0 |       4       0       4       0 |      *      *      *       *       * 8NMKLP       * |   0    1      0      1
sefa( . s4o 2  s4o    )         4 |       0       2       4 |       0       0       0       4 |      *      *      *       *       *      * 24NMKLP |   0    0      1      1
--------------------------+--------+-------------------------+---------------------------------+-----------------------------------------------------+-----------------------
      o4s4o3*a4s .      &    4MKL |   12MKL    6MKL   12MKL |    4MKL   12MKL    4MKL   12MKL |    2KL    6ML    MKL    3MKL    4MKL      0       0 | 8NP    *      *      *
      o4s4o3*a . o3*a   &      MP |     6MP     3MP       0 |     4MP       0     4MP       0 |     2P      0     MP       0       0     MP       0 |   * 8NKL      *      *
      . s4o 2  s4o              8 |       0       8      16 |       0       0       0      32 |      0      0      0       8       0      0       8 |   *    * 3NMKLP      *
sefa( o4s4o3*a4s4o3*a )        24 |      24      12      24 |       8      12       8      24 |      0      0      0       0       8      2       6 |   *    *      * 4NMKLP


starting figure: o4x4o3*a4x4o3*a

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