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Characterizing tileorders. (English) Zbl 0790.05020

Summary: We define a tileorder to be a double order generated by a dissection of a rectangle into subrectangles. These structures are of interest both geometrically and as the order structures underlying double categories. We here give three different characterizations of those double orders which are tileorders.

MSC:

05B45 Combinatorial aspects of tessellation and tiling problems
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