Quartic "Rudy Set" HeffalumpZoom @rudyrucker1

Uploaded May 2010 | Updated September 2026, 2 hours ago

This is a quartic (degree 4) "Rudy set" Mandelbrot-style fractal. The "heffalump" is the e lumpy, elephant-like shape we pass, standing on the little cloud-castle plateau. Formally, the quartic Rudy set is {k:Jkkkk is connected}, where Jkkkk is the Julia set based on a fomula similar to z^5 + k*z^3 + k*z^2 + k*z + k. See Rudy Rucker's page tinyurl.com/rudyfractals for details.

$Quartic Rudy Set HeffalumpZoom This is a quartic (degree 4) Rudy set Mandelbrot-style fractal. The heffalump is the e lumpy, elephant-like shape we pass, standing on the little cloud-castle plateau. Formally, the quartic Rudy set is {k:Jkkkk is connected}, where Jkkkk is the Julia set based on a fomula similar to z^5 + k*z^3 + k*z^2 + k*z + k. See Rudy Ruckers page www.tinyurl.com/rudyfractals for details.$

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$Rockets Zoom into the Rudy Set Zoom into the Rudy Set, a fractal based on cubic Mandelbrot sets. The Rudy set is the set of all k such that the cubic Juila set Jkk is connected. Full info on my blog post at http://tinyurl.com/rudyfractals$

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