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9 votes

Undecidable puzzles

This answer is not entirely serious, but it does not fit as a comment. Numberwang is undecidable. Numberwang, of course, is a fictional popular game show featured as a running gag in the real sketch …
Yoav Kallus's user avatar
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17 votes

Two (probably) equal real numbers which are not proved to be equal?

The moving sofa constant is conjectured to be 2.2195..., which is computable as the implicit solution of a set of equations (see Eqs. 1-4 in Romik 2018). On the other hand, while not immediately obvio …
10 votes

Undecidable infinite analogs of NP-complete problems?

Edge matching problems, such as the Eternity II puzzle are NP-complete. Wang Tiles might be considered to be be the infinite analog, and the question of whether a set of Wang tiles can tile the plane …