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]
^Peter J. Bentley and David W. Corne (2001). Creative Evolutionary Systems. Morgan Kaufmann. p. 354.
Pickoverstalks are certain kinds of details to be found empirically in the Mandelbrot set, in the study of fractal geometry. They are so named after...
Mandelbox Mandelbulb Menger sponge Newton fractal Orbit portrait Orbit trap Pickoverstalk Plotting algorithms for the Mandelbrot set "Mandelbrot set". Lexico...
Cliff Pickover for inclusion in Pickover's then-forthcoming book Computers, Pattern, Chaos, and Beauty. This led directly to the discovery of Pickover stalks...
or more lines, typically vertical or horizontal (x=a or y=a lines). Pickoverstalks are an example of a line based orbit trap which use two lines. Orbit...
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