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- ]

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 ) = 1*(A4 +A4 )
                          1   2         1   2

                    
                    fA5(A5 ,A5 ) = 1*(A5 +A5 )
                          1   2         1   2

                    
                    fA6(A6 ,A6 ) = 1*(A6 +A6 )
                          1   2         1   2

                    
                    fA7(A7 ,A7 ) = 1*(A7 +A7 )
                          1   2         1   2



See the same object with a higher resolution:

Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-


See some close-ups (including this one):

A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-


See a set of 4x3 stereograms:

A set of 4x3 stereograms of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-


See sixteen different lightings:

Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')for sixteen different lightings -tridimensional cross-section-


See an anaglyph:

Anaglyph -blue=right, red=left- of a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-


See some related pictures:

Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')transformed using the tridimensional life game -tridimensional cross-section-  
Close-up on an hybrid pseudo-octonionic Mandelbrot-Julia set ('MandelBulb' like: a 'MandelJuliaBulb')-tridimensional cross-section-  
A 'mixing' between a tridimensional fractal structure and a close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-  
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/Z conformal transformation in the complex plane -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 1/O conformal transformation in the pseudo-octonionic space -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a O^2 conformal transformation in the pseudo-octonionic space -tridimensional cross-section- Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a (4xO+1)/(1xO-1) conformal transformation in the pseudo-octonionic space -tridimensional cross-section-  
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 'complex' module transformation in the pseudo-octonionic space -tridimensional cross-section-  
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')with a 'complex' transformation in the pseudo-octonionic space -tridimensional cross-section-  
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-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)]


(CMAP28 WWW site: this page was created on 02/04/2014 and last updated on 06/04/2026 22:49:02 -CEST-)



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