click to view the MPEG movie (cliquez pour voir le film MPEG)

Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section- [Zoom sur 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
                                       2
                    fR(R ,R ) = (R *R )
                        1  2      1  2
                    fT(T ,T ) = 2*(T +T )
                        1  2        1  2
                    fP(P ,P ) = 2*(P +P )
                        1  2        1  2
                    fA(A ,A ) = 2*(A +A )
                        1  2        1  2



See the sixteen close-ups:

Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-  
Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-  
Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-  
Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Zoom in on a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-


[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)]
[pour plus d'informations à propos des Ensembles Fractals Déterministes N-Dimensionnels (en français/in french)]


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