Vertex‐labeling algorithms for the Hilbert spacefilling curve

We describe a method, based on vertex‐labeling, to generate algorithms for manipulating the Hilbert spacefilling curve. The method leads to algorithms for: computing the image of a point in R1; computing a pre‐image of a point in R2; drawing a finite approximation of the curve; finding neighbor cells in a decomposition ordered according to the curve.

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