Horak, Peter; Matematični kolokvij september 2010

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Tiling n-space by unit cubes

Peter Horak

University of Washington, Tacoma

23. september 2010

Tiling problems belong to the oldest problems in whole mathematics. They attracted attention of many famous mathematicians. Even one of the Hilbert's problems is devoted to the topic. The interest in tilings by unit cubes originated with a conjecture raised by Minkowski in 1908. In this lecture we will discuss the conjecture, and other closely related problems, especially its relation to Lee error-correcting codes.

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