Classical space-filling curves have images that form completely filled-in regions. Viewing these mappings as limits of curves that pass through fractals with steadily increasing dimension can help one to understand the correspondence that the function defines. Animations allow the viewer to observe the convergence of a sequence of curves onto a filled-in region.

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Keywords:

space-filling curve, fractal, iterated function system, similarity, dimension

MR Review: MR number will go here
MR Classification: 54H20