Abstract
We construct a unilateral lattice tiling of Rn into hypercubes of two differnet side lengths p or q. This generalizes the Pythagorean tiling in R2. We also show that this tiling is unique up to symmetries, which proves a variation of a conjecture by Bölcskei from 2001. For positive integers p and q, this tiling also provides a tiling of (Z/(pn+qn)Z)n.
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