Pi/2 rotation about the X axis of a pseudo-quaternionic Julia set ('MandelBulb' like: a 'JuliaBulb') -tridimensional cross-section- [Rotation de pi/2 autour de l'axe X d'un ensemble de Julia dans l'ensemble des pseudo-quaternions (comme un 'MandelBulb': un 'JuliaBulb') -section tridimensionnelle-]
.
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}
4
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 the sixteen points of view:
See some Julia sets (including this one) with various degrees:
Degree=2:
Degree=3:
Degree=4:
Degree=8:
Degree=9:
[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 11/30/2014 and last updated on 10/11/2024 21:06:20 -CEST-)
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