2.pi rotation about the Y axis of a 'mixing' between a pseudo-quaternionic Mandelbrot set and a pseudo-quaternionic Julia set -tridimensional cross-section- [Rotation de 2.pi autour de l'axe Y d'un 'mélange' entre un ensemble de Mandelbrot dans l'ensemble des pseudo-quaternions et un ensemble de Julia dans l'ensemble des pseudo-quaternions -section tridimensionnelle-]
.
This mixing between a Mandelbrot set and a Julia set is a tridimensional cross-section and was computed with a polynomial 'P' of the first degree and the
following four functions:
P(q) = 1*q + 0.5*q + {-0.5815147625160462,+0.6358885017421603,0,0}
C
2
fR(R ,R ) = (R *R )
1 2 1 2
fT(T ,T ) = 2*(T +T )
1 2 1 2
fP(P ,P ) = 2*(P +P )
1 2 1 2
fA(A ,A ) = 2*(A +A )
1 2 1 2
'qC' being the current point.
See some artistic views of this rotation:
See the sixteen points of view:
[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 03/06/2010 and last updated on 12/09/2024 12:45:31 -CET-)
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