Pickover stalk

Example of Pickover stalks in a detail of the Mandelbrot set

Pickover stalks are certain kinds of details to be found empirically in the Mandelbrot set, in the study of fractal geometry.[1] They are so named after the researcher Clifford Pickover, whose "epsilon cross" method was instrumental in their discovery. An "epsilon cross" is a cross-shaped orbit trap.

According to Vepstas (1997) "Pickover hit on the novel concept of looking to see how closely the orbits of interior points come to the x and y axes. In these pictures, the closer that the point approaches, the higher up the color scale, with red denoting the closest approach. The logarithm of the distance is taken to accentuate the details".[2]

  1. ^ Peter J. Bentley and David W. Corne (2001). Creative Evolutionary Systems. Morgan Kaufmann. p. 354.
  2. ^ Linas Vepstas (1997). "Interior Sketchbook Diary". Retrieved 8 July 2008.