Carotid-Kundalini Fractal

A fractal-like structure is produced for  by superposing plots of Carotid-Kundalini functions  of different orders . the region  is called fractal land by Pickover (1995), the central region the Gaussian mountain range, and the region  oscillation land. The plot above shows  to 25. Gaps in fractal land occur whenever

for  and  relatively prime integers. At such points , the functions assume the  values  for , 1, ..., , where  is the ceiling function and  is the floor function.

REFERENCES:

Pickover, C. A. "Are Infinite Carotid-Kundalini Functions Fractal?" Ch. 24 in Keys to Infinity. New York: Wiley, pp. 179-181, 1995.