The Hesse graph is the term used in this work for the 21-vertex 35-edge Levi graph of the Hesse configuration.
Hesse Graph
See also
Hesse Configuration, Levi GraphExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Hesse Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HesseGraph.html