A foggy pseudo-octonionic Julia set ('MandelBulb' like: a 'JuliaBulb') computed with A=(-0.58...,+0.63...,0,0,0,0,0,0) and with a rotation about the X axis -tridimensional cross-section- [Un ensemble de Julia brumeux dans l'ensemble des pseudo-octonions (comme un 'MandelBulb': un 'JuliaBulb') calculé pour A=(-0.58...,+0.63...,0,0,0,0,0,0) et avec une rotation autour de l'axe X -section tridimensionnelle-].

See a zoom in:

See a rotation about the X axis (from 0 to pi):

See the dynamics of this process when changing the two first components (-0.5815147625160462 and +0.6358885017421603) of the polynomial 'P' -see the following definition- according to a travel along the border of the Mandelbrot set:

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 as well as the multiplicative factor 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 ) = 6*(A1 +A1 )
1   2         1   2
```
```
fA2(A2 ,A2 ) = 6*(A2 +A2 )
1   2         1   2
```
```
fA3(A3 ,A3 ) = 6*(A3 +A3 )
1   2         1   2
```
```
fA4(A4 ,A4 ) = 6*(A4 +A4 )
1   2         1   2
```
```
fA5(A5 ,A5 ) = 6*(A5 +A5 )
1   2         1   2
```
```
fA6(A6 ,A6 ) = 6*(A6 +A6 )
1   2         1   2
```
```
fA7(A7 ,A7 ) = 6*(A7 +A7 )
1   2         1   2
```

See some Julia sets (including this one) with various degrees:

Degree=2:
Degree=3:
Degree=4:
Degree=8:
Degree=9:

[Plus d'informations à propos des Ensembles Fractals Déterministes N-Dimensionnels (en français/in french)]

(CMAP28 WWW site: this page was created on 12/20/2014 and last updated on 05/12/2021 19:02:30 -CEST-)

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