The problem I have is the visualisation of a 1-(50,15,15) design. That is a set of 50 points and 50 blocks (lines), so that each point is on 15 lines, and each line contains 15 points.

My attempts thus far have been on Mathematica. I have managed to create a graph with 50 points and 750 edges, so obviously the problem is putting 15 points on a given edge.