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The semiregular octagon {(o,O)⁴} has alternating corner angles o resp. O; the rhomb {(r,R)²} has alternating corner angles r resp. R.

When the edges of type (*) – as marked below – get reduced to zero, the rhombs get reduced (via parallelograms) to a coincident pair of edges (which then might be identified) and the semiregular octagons get reduced to squares. The whole polyhedron than gets contracted into a snic again.

Incidence matrix

24  * |  2  1  1  1 | 1  2  1 1  [33,r,o]
 * 24 |  0  1  1  1 | 0  1  1 1  [3,R,O]
------+-------------+----------
 2  0 | 24  *  *  * | 1  1  0 0
 1  1 |  * 24  *  * | 0  1  1 0
 1  1 |  *  * 24  * | 0  1  0 1
 1  1 |  *  *  * 24 | 0  0  1 1  (*)
------+-------------+----------
 3  0 |  3  0  0  0 | 8  *  * *
 2  1 |  1  1  1  0 | * 24  * *
 2  2 |  0  2  0  2 | *  * 12 *  {(r,R)2}
 4  4 |  0  0  4  4 | *  *  * 6  {(o,O)4}