Fractal canopy
Angle=2PI/11, ratio=0.75
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:
- The angle between any two neighboring line segments is the same throughout the fractal.
- The ratio of lengths of any two consecutive line segments is constant.
- Points all the way at the end of the smallest line segments are interconnected.
See also
References
- ↑ Michael Betty (4 April 1985). "Fractals - Geometry between dimensions". New Scientist, Vol. 105, N. 1450. pp. 31–35.
- ↑ Benoît B. Mandelbrot. The fractal geometry of nature. W.H. Freeman, 1983. ISBN 0716711869.
External links
- Fractal Canopies from a student-generated Oracle Thinkquest website
| Characteristics |  | |
|---|---|---|
| Iterated function system | ||
| Strange attractor | ||
| L-system | ||
| Escape-time fractals | ||
| Rendering Techniques | ||
| Random fractals | ||
| People | ||
| Other | ||
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