A pseudo-octonionic Mandelbrot set (a 'MandelBulb') -tridimensional cross-section- [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 another cross-section:

See the zoom in on the pseudo-octonionic Mandelbrot set:

See some close-ups possibly including this one:

See some conformal transformations in the pseudo-octonionic space:

[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)]

See an artistic variation:

See some related pictures (including this one) about picture sharpening:

(CMAP28 WWW site: this page was created on 10/23/2014 and last updated on 06/14/2022 12:35:39 -CEST-)

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