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Title:
The ``mystery'' of the quadratic Mandelbrot set
Authors:
Metzler, Wolfgang
Publication:
American Journal of Physics, Volume 62, Issue 9, pp. 813-814 (1994).
Publication Date:
09/1994
Origin:
AIP
Abstract Copyright:
(c) 1994: American Institute of Physics
DOI:
10.1119/1.17465
Bibliographic Code:
1994AmJPh..62..813M

Abstract

Numerical simulations suggest that the Mandelbrot set for binary numbers z=x+γy with x, y∈R and γ2=α+γβ (α,β∈R given) is a simple filled-in square in the perplex case, i.e., α=1, β=0. The paper gives a proof of this experimental result.
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Database: Astronomy
Physics
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