Flat Neighborhood Network Puzzle

Back in April 2000, we invented a new class of interconnection network topologies for use in parallel supercomputers: Flat Neighborhood Networks (FNNs). You can read more about them at http://aggregate.org/FNN/ -- the key property is that PCs are connected to switches such that any pair of PCs always has at least one switch in common. The tricky thing about FNNs is how hard they are to design. We actually use a genetic algorithm to design them... but now you have the chance to design them by han