An Infinite Tree of Circles or Spheres

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This Demonstration displays the first few iterations of a fractal based on circles and spheres. In the 2D case, the length of the boundary tends to infinity but the area is bounded; in the 3D case, the surface area tends to infinity but the volume is bounded.

Contributed by: Michael Sollami (March 2011)
Open content licensed under CC BY-NC-SA


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