Curlicue fractal

Graphics by Paul Bourke
January 2018

The curlicue fractal is credited to Pickover and first presented in 1995. It is generated by starting with a line segment and adding to it subsequent line segments of the same length but with angle given by the following series, noting that the parameter "s" must be irrational, at least for interesting fractals.


c = (1 + sqrt(5)) / 2

c = sqrt(2)

c = sqrt(3)

c = 1/sqrt(3)

c = sqrt(5)