Lévy CurveAlso known on the "C curve" when drawn on its sideWritten by Paul Bourke February 2018 First reported by Ernesto Cesàro in 1906 and Georg Faber in 1910 but named after Paul Lévy who studied its properties in more depth. It can be formulated as both a LSystem and IFS (Iterated Function System, both as provided below. LSystem formulationaxiom = F F > F++F angle = 45 6th iteration, 316 line segments
10th iteration, 5116 line segments
14th iteration, 81916 line segments
Iterated Function System formulation
1000 million points. Bounds: 0.5 <= x <= 0.5, and 0.5 <= y <= 0.0125 where z = x+iy
Density shaded. 10,000 million points
