The Kummer graph is the name apparently first adopted here for the Levi graph of the 
Kummer configuration (Coxeter 1950), corresponding
to the 6-folded cube graph (Brouwer et al.
1989, p. 264). It is isomorphic to the graph formed
from the 6-hypercube graph where vertices
opposite to one other (i.e., at maximal graph distances
from each other) are vertex-contracted together.
It is illustrated above in a number of voltage graph
drawings.
It is illustrated above in several order-2 LCF notation drawings.
The Kummer graph has graph crossing number and rectilinear crossing number of at most 128, as illustrated above (E. Weisstein, Sep. 13, 2026).
The Kummer graph has graph genus 9 (E. Weisstein, Jan. 13, 2026).
It is implemented in the Wolfram Language as GraphData["KummerGraph"].
