This is the blend of o8o4x *b3x and x x3o8o, which both have the same curvature, along their common, but not hemichoral tilings x3o8o (otrat).

Since the vertex figure of the former is an octagonal frustrum xq8oo&#q and that of the latter clearly is an octagonal pyramid ox8oo&#q, the one in here becomes an according bistratic lace tower. Note that this one still is circumscribable, just as generally required for vertex figures of uniform polytopes, and thus moreover is convex. This in turn shows, that the two laminates of sircoes and ostrats (from the first honeycomb) and of trips (from the second honeycomb) attach as disjunct laminates (and won't pleat back).

So far this is just one of the steps to be done within the construction of lamina-truncate( o8o3x *b3x ).

Incidence matrix according to Dynkin symbol

o8o3x *b4xØx   (N,M → ∞)

. . .    . . | 6NM |    8    8   1 |    8    8    8    8 |  1   8   8
-------------+-----+---------------+---------------------+-----------
. . x    . . |   2 | 24NM    *   * |    2    0    1    1 |  0   2   2
. . .    x . |   2 |    * 24NM   * |    0    2    1    0 |  1   2   0
. . .    . x |   2 |    *    * 3NM |    0    0    0    8 |  0   0   8
-------------+-----+---------------+---------------------+-----------
. o3x    . . |   3 |    3    0   0 | 16NM    *    *    * |  0   1   1
. o . *b4x . |   4 |    0    4   0 |    * 12NM    *    * |  1   1   0
. . x    x . |   4 |    2    2   0 |    *    * 12NM    * |  0   2   0
. . x    . x |   4 |    2    0   2 |    *    *    * 12NM |  0   0   2
-------------+-----+---------------+---------------------+-----------
o8o . *b4x . ♦   M |    0   4M   0 |    0   2M    0    0 | 6N   *   *
. o3x *b4x . ♦  24 |   24   24   0 |    8    6   12    0 |  * 2NM   *
. o3x    . x ♦   6 |    6    0   3 |    2    0    0    3 |  *   * 8NM