# The line graph of the Desargues graph

A small followup on yesterday's post:

The bitruncated pentatope is a four-dimensional polytope with ten facets, each in the shape of a truncated tetrahedron. Its skeleton (the graph formed by its vertices and edges) is a symmetric graph with 30 vertices, 60 edges, and four edges per vertex. As it turns out, this skeleton is isomorphic to the line graph of the Desargues graph.