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As abstract polytope mesdi-verf is automorph, thereby interchanging the roles of v-edges and f-edges resp. the vertices of layers 2 and 3, and esp. of the lacing v-pentagons and the diametral f-pentagrams.

Incidence matrix

3 * * | 2 2 2 2 0 0 0 0 | 2 1 1 2 2
* 6 * | 1 1 0 0 1 1 1 0 | 1 1 1 1 1
* * 6 | 0 0 1 1 0 1 1 1 | 1 1 1 1 1
------+-----------------+----------
1 1 0 | 6 * * * * * * * | 0 1 0 1 0	v
1 1 0 | * 6 * * * * * * | 1 0 0 0 1	q
1 0 1 | * * 6 * * * * * | 1 0 0 1 0	q
1 0 1 | * * * 6 * * * * | 0 0 1 0 1	f
0 2 0 | * * * * 3 * * * | 1 0 1 0 0	f
0 1 1 | * * * * * 6 * * | 0 1 0 0 1	v
0 1 1 | * * * * * * 6 * | 0 0 1 1 0	f
0 0 2 | * * * * * * * 3 | 1 1 0 0 0	v
------+-----------------+----------
2 2 2 | 0 2 2 0 1 0 0 1 | 3 * * * *	[5/2,4,4,5/4,4,4] : top-verf(dritit)
1 2 2 | 2 0 0 0 0 2 0 1 | * 3 * * *	[(5/2)5] : verf(sissid)
1 2 2 | 0 0 0 2 1 0 2 0 | * * 3 * *	[55]/2 : verf(gad)
1 1 1 | 1 0 1 0 0 0 1 0 | * * * 6 *	[5/2,4,5] : (other) verf(dritit)
1 1 1 | 0 1 0 1 0 1 0 0 | * * * * 6	[5/2,4,5] : (other) verf(dritit)