In recent work by Mossel and Ross, it was asked how large q has to be for a random jigsaw puzzle with q different shapes of “jigs” to have exactly one solution. The jigs are assumed symmetric in the sense that two jigs of the same type always fit together. They showed that for q = o(n) there are a.a.s. multiple solutions, and for q = ω(n) there is a.a.s. exactly one. The latter bound has since ...

The jig swap puzzle is a variant of traditional jigsaw puzzles, wherein all pieces are equal-sized squares that must be placed adjacent to one another to reconstruct an original, unknown image. This paper proposes an agglomerative hierarchical clustering-based solver that can simultaneously reconstruct multiple, mixed jig swap puzzles. Our solver requires no additional information beyond an uno...

Last piece of the puzzle in biomolecular NMR spectroscopy: The central theme design is four “jigsaw pieces”, which signify fact that our 17O work represents “last puzzle” field NMR. On left shown ribbon structure protein studied this work. right hand side drawing a series-connected hybrid (SCH) 35.2-T magnet (the most powerful world) on we recorded first set spectra for proteins. More informati...