This 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 + {-0.5815147625160462,+0.6358885017421603,0,0}
```
```                                       Fractal(x,y,z,t)
fR(R ,R ) = (R *R )
1  2      1  2
```
```                    fT(T ,T ) = 2*(T +T )
1  2        1  2
```
```                    fP(P ,P ) = 3*(P +P )
1  2        1  2
```
```                    fA(A ,A ) = 4*(A +A )
1  2        1  2
```
The function Fractal(x,y,z,t)' is a non deterministic fractal function with value inside [2,4] identical to the ones that are used to generate and animate mountains and clouds. See bidimensional cross-sections inside its values -from 2 (=dark blue) to 4 (=white)-:

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 02/27/2010 and last updated on 05/12/2021 19:16:02 -CEST-)

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