A pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section- [Un ensemble de Mandelbrot dans l'ensemble des pseudo-quaternions (un 'MandelBulb') -section tridimensionnelle-].




This Mandelbrot set was computed with a polynomial 'P' of the first degree and the following four functions:
                    P(q) = 1*q + q
                                  C
                                       8
                    fR(R ,R ) = (R *R )
                        1  2      1  2
                    fT(T ,T ) = 8*(T +T )
                        1  2        1  2
                    fP(P ,P ) = 8*(P +P )
                        1  2        1  2
                    fA(A ,A ) = 8*(A +A )
                        1  2        1  2



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[for more information about pseudo-quaternionic numbers (en français/in french)]
[for more information about pseudo-octionic numbers (en français/in french)]

[for more information about N-Dimensional Deterministic Fractal Sets (in english/en anglais)]
[Plus d'informations à propos des Ensembles Fractals Déterministes N-Dimensionnels (en français/in french)]


(CMAP28 WWW site: this page was created on 01/13/2010 and last updated on 10/11/2024 21:08:08 -CEST-)



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