Artistic view of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0) -tridimensional cross-section- [Vue artistique d'un ensemble de Julia dans l'ensemble des pseudo-quaternions (comme un 'MandelBulb': un 'JuliaBulb') calculé pour A=(-0.58...,+0.63...,0,0) -section tridimensionnelle-].




This picture is obtained by means of a 2.pi rotation about the Y axis of a tridimensional cross-section inside a Julia set computed with a polynomial 'P' of the second degree and the following four functions:
                            2
                    P(q) = q  + {-0.5815147625160462,+0.6358885017421603,0,0}
                    
                    fR(R ,R ) = R *R
                        1  2     1  2
                    fT(T ,T ) = T +T
                        1  2     1  2
                    fP(P ,P ) = P +P
                        1  2     1  2
                    fA(A ,A ) = A +A
                        1  2     1  2



See the sixteen points of view:

 
 
 



[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 07/10/2010 and last updated on 02/08/2022 20:52:21 -CET-)



[See the generator of this picture [Voir le générateur de cette image]]

[See all related pictures (including this one) [Voir toutes les images associées (incluant celle-ci)]]

[See the following comment(s): quaternionic numbers, pseudo-quaternionic numbers, Julia set [Voir le(s) commentaire(s) suivant(s): quaternions, pseudo-quaternions, ensemble de Julia]]
[Please visit the related DeterministicFractalGeometry picture gallery [Visitez la galerie d'images DeterministicFractalGeometry associée]]

[Go back to AVirtualMachineForExploringSpaceTimeAndBeyond [Retour à AVirtualMachineForExploringSpaceTimeAndBeyond]]

[The Y2K Bug [Le bug de l'an 2000]]

[Site Map, Help and Search [Plan du Site, Aide et Recherche]]
[Mail [Courrier]]
[About Pictures and Animations [A Propos des Images et des Animations]]


Copyright © Jean-François Colonna, 2010-2022.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 2010-2022.