The Recursive Turtle

  • Stan Wagon


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)}.


Fractal Dimension Optimal Tour Tour Length Koch Curve Peano Curve 

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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