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mathgrrl This is so beautiful :)

mathgrrl @B4sti4n that is correct, it is the ratios that are evenly spaced in this model. if you wanted to do thicknesses that are evenly spaced, that would be interesting as well, but in this case it's the ratios. The reason that the corresponding thicknesses aren't evenly spaced is that we are *dividing* 20 by these ratios each time, so for example 20/r, 20/(r+d), and 20/(r+2d) aren't evenly spaced, even though the ratios are. I have to admit I had to get out a piece of paper to figure out what was going on here!!

mathgrrl @B4sti4n This set was a special request (and great idea) from Matt Parker, and the ratios are evenly distributed. This means that the ratios of the ten coins start at root-3 and go up in intervals of 0.12181959… to 2root-2. So 2, 7/3, and e aren't in the set (well, I didn't check, but probability zero...).