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

2.pi rotation about the Y axis of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set -tridimensional cross-section- [Rotation de 2.pi autour de l'axe Y d'un 'mélange' entre un ensemble de Mandelbrot dans l'ensemble des pseudo-quaternions et un ensemble de Julia dans l'ensemble des pseudo-quaternions -section tridimensionnelle-].




This mixing between a Mandelbrot set and a Julia set is a tridimensional cross-section and was computed with a polynomial 'P' of the first degree and the following four functions:
                    P(q) = 1*q + 0.5*q  + {-0.5815147625160462,+0.6358885017421603,0,0}
                                      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
'qC' being the current point.


See some artistic views of this rotation:

Artistic view of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- Artistic view of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-


See the sixteen points of view:

A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-  
A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-  
A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section-  
A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-tridimensional cross-section- A 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set computed with A=(-0.581514...,+0.635888...,0,0)-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)]


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