Sunday, August 10, 2014


Every distance between 1 and 50 is between some pair of lines on this ruler:
Some are duplicates because there are 13 lines and 13*12/2 = 78 possible pairings and only 50 possible markings. It seemed not to be possible to make one where every distance is only marked once, as I showed for a bunch of cases on the computer by exhaustion.

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