H Tree

H Tree

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The H tree is a family of fractal sets whose Hausdorff dimension is equal to 2. They can be constructed by starting with a line segment of arbitrary length, drawing two shorter segments at right angles to the first through its endpoints, and continuing in the same vein, reducing the length of the line segments drawn at each stage by 2. Surprisingly, continuing this process will eventually come arbitrarily close to every point in a rectangle, or in other words, the H-fractal is a space-filling curve. It is also an example of a fractal canopy, in which the angle between neighboring line segments is always 180 degrees.
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Product details

  • Paperback | 68 pages
  • 152 x 229 x 4mm | 113g
  • United States
  • English
  • black & white illustrations
  • 6136326442
  • 9786136326443