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




This Julia set is a tridimensional cross-section and was 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 its 'peeling':




See its 2.pi rotation about the Y axis:



and some related 2.pi rotations about the Y axis:

 
 



See the quaternionic Julia set computed with the same 'A':




[for more information about pseudo-quaternionic numbers (en français/in french)]
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[Plus d'informations à propos des Ensembles Fractals Déterministes N-Dimensionnels (en français/in french)]


(CMAP28 WWW site: this page was created on 12/19/2009 and last updated on 05/12/2021 18:58:48 -CEST-)



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