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    $\begingroup$ I guess the "phony" is reveal spoiler number 6 of those, where reveal spoilerthe purple circle claims to pass exactly between two of the orange areas. $\endgroup$ Commented 19 hours ago
  • $\begingroup$ And #5 is dodgy too, with Montana cut by 2 circles, and Florida's border has not been crossed. I think a single good map would be better than an array of dubious ones. Please don't leave it to readers to filter them. Which one is your solution? $\endgroup$ Commented 18 hours ago
  • $\begingroup$ Another phony is #8 because of the alternating two-coloring of the Four Corners states. $\endgroup$ Commented 13 hours ago
  • $\begingroup$ What is the minimum if each circle must cover a contiguous region? $\endgroup$ Commented 12 hours ago
  • $\begingroup$ @RobPratt do you mean that states must share a land border that is not a point? $\endgroup$ Commented 12 hours ago