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Mind-boggling puzzles

Posted By: Timothy Chow
Date: Thursday, 10 June 2010, at 5:25 a.m.

In Response To: Now with six-point prime, please :) (Matt Cohn-Geier)

MCG wrote:

Do you ever feel like you are really different from other people somehow?

Since this question seems to have been prompted by Nack's unusual puzzle, let me just say that while I like Nack's puzzles, if you find them so bizarre that you are led to wonder what kind of twisted mind could invent them, then you ain't seen nothin' yet. I've seen thousands of weird and wonderful puzzles of all kinds, but the ones that boggle my mind the most are record-breaking retrograde chess problems. For a random example, see this chess position, which can be reached after Black's 183rd move, and where it is believed that there is a unique way to reach it after Black's 183rd move. "Unique" is meant in a strong sense here; in particular, even a "trivial" transposition of moves that reaches the same position means that the solution is not unique. Note the date of composition (1947) which was before modern computers.

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