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The Fibonacci partition on the connectedness locus and the Farey sequence

✍ Scribed by Y. Fujimoto

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
447 KB
Volume
7
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

As in the case of the Mandelbrot set, the index introduces a Fibonacci partition on the connectedness locus of polynomials of higher degree fC(z) = z" + c, n 3 3. It is shown that the appearance of the Fibonacci partition is explained in terms of the Farey sequence.

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