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Concept where a solution seems close but is actually far

  • As a simple example a Rubix cube where one side is solved or only a few colors remain but actually requires further modification
  • It seems I encounter this often in puzzles
  • It’s not like a jigsaw puzzle, with a linear solution (there really isn’t any backtracking, you see the elements missing and those must be inserted). Just because a problem superficial resembles a completed state, there might be further modifications that push it away from that before solving it. Like a localized max.
  • the formal sentence being hideously complicated doesn’t necessarily entail that the underlying arithmetical idea is hideously complicated.