Lévy C Curve

In mathematics, the Lévy C curve is a self-similar fractal that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and G. Farber in 1910, but now bears the name of French mathematician Paul Pierre Lévy, who was the first to describe its self-similarity properties, as well as to provide a geometrical construction showing it as a representative curve in the same class as the Koch curve. It is a special case of a period-doubling curve, a de Rham curve.

Read more about Lévy C Curve:  L-system Construction, IFS Construction

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Lévy C Curve - IFS Construction
... If using an iterated function system (IFS, or the chaos game IFS-method actually), then the construction of the C curve is a bit easier ... It will need a set of two "rules" which are Two points in a plane (the translators), each associated with a scale factor of 1/√2 ...

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