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The Recursive Turtle

  • Stan Wagon

Abstract

A space-filling curve is a continuous function P from the unit interval onto the square. The upper images show approximations to the image of P in the square. Further approximations would yield a fully black square. The three-dimensional image shows the true graph of the function: the subset of ℝ3 given by {(t, x, y): P(t) = (x, y)}.

Keywords

Fractal Dimension Optimal Tour Tour Length Koch Curve Peano Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Stan Wagon
    • 1
  1. 1.Department of Mathematics and Computer ScienceMacalester CollegeSt. PaulUSA

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