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

See sixteen rotations about the X axis (from 0 to pi/2):

This Julia set is a tridimensional cross-section and was computed with a polynomial 'P' of the first degree and the following eight functions (where the exponent 4 as well as the multiplicative factor 4 are also called the degree):
                    P(o) = 1*o + {-0.5815147625160462,+0.6358885017421603,0,0,0,0,0,0}
                    fR(R ,R ) = (R *R )
                        1  2      1  2
                    fA1(A1 ,A1 ) = 4*(A1 +A1 )
                          1   2         1   2
                    fA2(A2 ,A2 ) = 4*(A2 +A2 )
                          1   2         1   2
                    fA3(A3 ,A3 ) = 4*(A3 +A3 )
                          1   2         1   2
                    fA4(A4 ,A4 ) = 4*(A4 +A4 )
                          1   2         1   2
                    fA5(A5 ,A5 ) = 4*(A5 +A5 )
                          1   2         1   2
                    fA6(A6 ,A6 ) = 4*(A6 +A6 )
                          1   2         1   2
                    fA7(A7 ,A7 ) = 4*(A7 +A7 )
                          1   2         1   2

See some Julia sets (including this one) with various degrees:


[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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