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The complete set of homogeneous Hilbert curves in two dimensions

Published 12 Nov 2013 in math.AG | (1311.2868v2)

Abstract: An inventory of all possible homogenous Hilbert curves in two dimensions are reported. Six new Hilbert curves are described by introducing the reversion operation in the construction algorithm. For each curve, the set of affine transformation defining the generation process is reported. Finally, each curve is also described in terms of a tag system.

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