In geometry, Keller's conjecture is the conjecture that in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes...

then the function has a polynomial inverse. It was first conjectured in 1939 by Ott-Heinrich Keller, and widely publicized by Shreeram Abhyankar, as an example...

tiling of space with cubes. This led to another 'Keller conjecture': the Keller cube-tiling conjecture from 1930. Subsequently he worked with Georg Hamel...

resolve mathematical conjectures such as the Boolean Pythagorean triples problem, Schur's theorem number 5, and Keller's conjecture in dimension seven....

then another string with the same structure results. According to Keller's conjecture, any tiling of the plane by congruent squares must include two squares...

by cubes, there are two cubes that meet face to face. Keller's conjecture is the same conjecture for non-lattice tilings, which turns out to be false in...

of quantum information." Entanglement-assisted classical capacity Keller's conjecture Stabilizer code Quantum capacity "The Mathematical Association of...

Notes Math. 207, Springer-Verlag, 1971 Analytic hierarchy process Keller's conjecture Stieltjes transformation Scott, W. T. (1955). "Review: Oskar Perron...

announced in 2017 by Marijn Heule and took up 2 petabytes of space Keller's conjecture in dimension 7 the only remaining case in 2020 with a 200 gigabyte...

divisors of n. He disproved Keller's conjecture in dimensions at least 10. Lagarias has also done work on the Collatz conjecture and Li's criterion and has...