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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 …
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 …