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The connected locus for complex cubic iteration

M. McClure
Journal / Anthology

Mathematica in Education and Research
Year: 2005
Volume: 10
Issue: 2
Page range: 92-103

Iteration of quadratic polynomials in complex dynamics leads to the Mandelbrot set, one of the most beautiful and famous images in modern mathematics. There is a generalization of this object to higher degree polynomials. In particular, the connected locus for cubic iteration is a four dimensional set analogous to the Mandelbrot set for quadratic iteration.

*Mathematics > Algebra > Polynomials
*Mathematics > Recreational Mathematics