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The semiregular octagon {(o,O)⁴} has alternating corner angles o resp. O; the semiregular hexagon {(h,H)²} has alternating corner angles h resp. H.

When the edges of type (*) – as marked below – get reduced to zero, the semiregular hexagons get reduced to regular triangles and the semiregular octagons get reduced to squares. The whole polyhedron than gets contracted into a snic again.

Incidence matrix

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