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Sep 29, 2011 at 1:10 vote accept Qfwfq
Sep 29, 2011 at 1:10 comment added Qfwfq Thanks. So, it seems the catchword is "taxicab metric". I was not aware that a concept analogous to "knight distance" had (more or less) already been addressed in history.
Sep 28, 2011 at 20:45 comment added Will Sawin One can define a generalized taxicab metric for every symmetric convex polygon.
Sep 28, 2011 at 18:59 history answered Will Sawin CC BY-SA 3.0