A regular but non-symmetric grid

Working through my qualifying dissertation ahead of tomorrow’s viva, I came across a bit where I had written that a network-on-chip system is regular if all its nodes have the same degree (i.e., number of connections) and symmetrical if all nodes look alike.

I suddenly wondered (this is the semi-paranoid state I am in ahead of tomorrow) if it was possible to have a regular NoC that was not symmetric. A few simple sketches with low node numbers suggested to me that it might not be. But I am calm now, having realised that the design below fits this criterion. Of course I can see no reason why anyone would want to build it – but that’s not the issue.

Regular but non-symmetric grid

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