Teragon
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A teragon is a polygon with an infinite number of sides, the most famous example being the Koch snowflake ("triadic Koch teragon").Script error: No such module "Unsubst". The term was coined by Benoît Mandelbrot from the words Classical Greek Script error: No such module "Lang". (teras, monster) + Script error: No such module "Lang". (gōnía, corner).[2] Typically, a teragon will be bounded by one or more self-similar fractal curves, which are created by replacing each line segment in an initial figure with multiple connected segments, then replacing each of those segments with the same pattern of segments, then repeating the process an infinite number of times for every line segment in the figure.
Other examples
The horned triangle, created by erecting a series of smaller triangles on one corner of an equilateral triangle, is another example of a teragon. It is also an example of a rep-tile, or shape that can be completely dissected into smaller copies of itself.
References
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- ↑ Albeverio, Sergio; Andrey, Sergio; Giordano, Paolo; and Vancheri, Alberto (1997). The Dynamics of Complex Urban Systems, p.222. Springer. Template:ISBN.
- ↑ Larson, Ron; Hostetler, Robert P.; and Edwards, Bruce H. (1998). Calculus, p.546. 6th edition. Houghton Mifflin. Template:ISBN.
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Further reading
- Mandelbrot, B. B. (1982). The Fractal Geometry of Nature. W.H. Freeman and Company. Template:Isbn.