AVirtualMachineForExploringSpaceTimeAndBeyond : Rotation about the Y (vertical) axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms (Rotation autour de l'axe Y (vertical) d'un agregat fractal tridimensionnel qui peut etre vue aussi comme un ensemble de 4x3 pseudo-stereogrammes).

Rotation about the Y (vertical) axis of a tridimensional fractal aggregate that can also be viewed as a set of 4x3 pseudo-stereograms [Rotation autour de l'axe Y (vertical) d'un agrégat fractal tridimensionnel qui peut être vue aussi comme un ensemble de 4x3 pseudo-stéréogrammes].

Why the word "pseudo-stereogram"?

This picture

Rotation about the Y (vertical)axis of the Lorenz attractor that can also be viewed as a set of 4x3 stereograms

is a "true" stereogram because:

it is exactly the same object (the Lorenz attractor) that is displayed 16 times with 16 different points of view,
the rotation is uniform (pi/32 between 2 adjacent pictures).

Then the current picture is a "pseudo-stereogram" because:

the visualized object (the fractal aggregate) is a dynamical one and then the picture number N diplays a different point of view of the object at a different time t(N). In this particular animation the time runs backwards when the MPEG movie is played; N=0 is the upper right picture and N=15 the lower lef one:

                     -------------------
                    | 03 | 02 | 01 | 00 |
                    |----+----+----+----|
                    | 07 | 06 | 05 | 04 |
                    |----+----+----+----|
                    | 11 | 10 | 09 | 08 |
                    |----+----+----+----|
                    | 15 | 14 | 13 | 12 |
                     -------------------

the rotation is not uniform (a spline controls the angle).

(CMAP28 WWW site: this page was created on 08/01/2000 and last updated on 03/16/2025 13:26:10 -CET-)

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Copyright © Jean-François COLONNA, 2000-2025.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2000-2025.

Copyright © Jean-François COLONNA, 2000-2025. Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2000-2025.

Copyright © Jean-François COLONNA, 2000-2025.
Copyright © France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2000-2025.