Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb') -tridimensional cross-section- [Agrandissement d'un ensemble de Mandelbrot dans l'ensemble des pseudo-octonions (un 'Mandelbulb') -section tridimensionnelle-].
This Mandelbrot set is a tridimensional cross-section and was computed with a polynomial 'P' of the first degree
('C' denoting the current octonionic point) and the following eight functions:
P(o) = 1*o + C
8
fR(R ,R ) = (R *R )
1 2 1 2
fA1(A1 ,A1 ) = 8*(A1 +A1 )
1 2 1 2
fA2(A2 ,A2 ) = 8*(A2 +A2 )
1 2 1 2
fA3(A3 ,A3 ) = 8*(A3 +A3 )
1 2 1 2
fA4(A4 ,A4 ) = 8*(A4 +A4 )
1 2 1 2
fA5(A5 ,A5 ) = 8*(A5 +A5 )
1 2 1 2
fA6(A6 ,A6 ) = 8*(A6 +A6 )
1 2 1 2
fA7(A7 ,A7 ) = 8*(A7 +A7 )
1 2 1 2
See a related picture:
[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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