Fractal canopy

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Angle=2π/11, ratio=0.75
H tree: angle=π, ratio=2

In geometry, fractal canopies are one of the easiest-to-create types of fractals. They are created by splitting a line segment into two smaller segments at the end, and then splitting the two smaller segments and as well, and so on, infinitely.[1][2]

A fractal canopy must have the following three properties:[citation needed]

  1. The angle between any two neighboring line segments is the same throughout the fractal.
  2. The ratio of lengths of any two consecutive line segments is constant.
  3. Points all the way at the end of the smallest line segments are interconnected.

See also[edit]


  1. ^ Michael Betty (4 April 1985). "Fractals - Geometry between dimensions". New Scientist, Vol. 105, N. 1450. pp. 31–35.
  2. ^ Benoît B. Mandelbrot. The fractal geometry of nature. W.H. Freeman, 1983. ISBN 0716711869.

External links[edit]