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

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



See some close-ups:

Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-  
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-  
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-  
Close-up on a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-


See some zooms in:

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-


See a translation along the fourth axis:

Translation along the fourth axis of a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-


See its pi rotation about the Y axis:

'Pi' rotation about the Y axis of a pseudo-quaternionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-


See some related pictures:

A 'mixing' between a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')and a tridimensional fractal structure -tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')and a tridimensional fractal structure -tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set (a 'MandelBulb')and a tridimensional fractal structure -tridimensional cross-section-


See some artistic views:

A 'cloudy' pseudo-quaternionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- A textured 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)]
[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 06/04/2026 22:47:37 -CEST-)



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