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Abstract

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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Communications in Visual Mathematics, vol 1, no 1, August 1998.
Copyright © 1998, The Mathematical Association of America. All rights reserved.
Created: 17 Jun 1998 --- Last modified: 30 Sep 2003 17:17:33
Comments to: CVM@maa.org