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It either can be thought of as a degenerate 4D segmentotope with zero height, or as a 3D euclidean decomposition of the larger base into smaller bits.

As abstracct polytope sirco || girco is isomorphic to sirco || groh+8{6/2}, thereby replacing convex hexagons by Grünbaumian double covered triangles (aka doubly wound hexagons) and octagons by octagrams, resp. tricu by ratricu, squacu by rasquacu, and girco by groh+8{6/2}.

Incidence matrix according to Dynkin symbol

xx3ox4xx&#x   → height = 0
(sirco || girco)

o.3o.4o.    | 24  * |  2  2  2  0  0  0 | 1  2 1  2  1  2 0  0 0 | 1 1  2 1 0
.o3.o4.o    |  * 48 |  0  0  1  1  1  1 | 0  0 0  1  1  1 1  1 1 | 0 1  1 1 1
------------+-------+-------------------+------------------------+-----------
x. .. ..    |  2  0 | 24  *  *  *  *  * | 1  1 0  1  0  0 0  0 0 | 1 1  1 0 0
.. .. x.    |  2  0 |  * 24  *  *  *  * | 0  1 1  0  0  1 0  0 0 | 1 0  1 1 0
oo3oo4oo&#x |  1  1 |  *  * 48  *  *  * | 0  0 0  1  1  1 0  0 0 | 0 1  1 1 0
.x .. ..    |  0  2 |  *  *  * 24  *  * | 0  0 0  1  0  0 1  1 0 | 0 1  1 0 1
.. .x ..    |  0  2 |  *  *  *  * 24  * | 0  0 0  0  1  0 1  0 1 | 0 1  0 1 1
.. .. .x    |  0  2 |  *  *  *  *  * 24 | 0  0 0  0  0  1 0  1 1 | 0 0  1 1 1
------------+-------+-------------------+------------------------+-----------
x.3o. ..    |  3  0 |  3  0  0  0  0  0 | 8  * *  *  *  * *  * * | 1 1  0 0 0
x. .. x.    |  4  0 |  2  2  0  0  0  0 | * 12 *  *  *  * *  * * | 1 0  1 0 0
.. o.4x.    |  4  0 |  0  4  0  0  0  0 | *  * 6  *  *  * *  * * | 1 0  0 1 0
xx .. ..&#x |  2  2 |  1  0  2  1  0  0 | *  * * 24  *  * *  * * | 0 1  1 0 0
.. ox ..&#x |  1  2 |  0  0  2  0  1  0 | *  * *  * 24  * *  * * | 0 1  0 1 0
.. .. xx&#x |  2  2 |  0  1  2  0  0  1 | *  * *  *  * 24 *  * * | 0 0  1 1 0
.x3.x ..    |  0  6 |  0  0  0  3  3  0 | *  * *  *  *  * 8  * * | 0 1  0 0 1
.x .. .x    |  0  4 |  0  0  0  2  0  2 | *  * *  *  *  * * 12 * | 0 0  1 0 1
.. .x4.x    |  0  8 |  0  0  0  0  4  4 | *  * *  *  *  * *  * 6 | 0 0  0 1 1
------------+-------+-------------------+------------------------+-----------
x.3o.4x.    ♦ 24  0 | 24 24  0  0  0  0 | 8 12 6  0  0  0 0  0 0 | 1 *  * * *
xx3ox ..&#x ♦  3  6 |  3  0  6  3  3  0 | 1  0 0  3  3  0 1  0 0 | * 8  * * *
xx .. xx&#x ♦  4  4 |  2  2  4  2  0  2 | 0  1 0  2  0  2 0  1 0 | * * 12 * *
.. ox4xx&#x ♦  4  8 |  0  4  8  0  4  4 | 0  0 1  0  4  4 0  0 1 | * *  * 6 *
.x3.x4.x    ♦  0 48 |  0  0  0 24 24 24 | 0  0 0  0  0  0 8 12 6 | * *  * * 1