We give a new proof of the following interesting fact recently proved byBower and Michael: if a d-dimensional rectangular box can be tiled usingtranslates of two types of rectangular bricks, then it can also be tiled in thefollowing way. We can cut the box across one of its sides into two boxes, oneof which can be tiled with the first brick only and the other one with thesecond brick. Our proof relies on the Fourier Transform. We also show that nosuch result is true for three, or more, types of bricks.
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