AVirtualMachineForExploringSpaceTimeAndBeyond : An animation of the intertwining based on the geometry of the sphere (Une interpolation animation de l'entrelacs base sur la geometrie de la sphere).

An animation of the intertwining based on the geometry of the sphere [Une interpolation animation de l'entrelacs basé sur la géométrie de la sphère].

This animation is defined as:

PR[x,y] = = PA[FX[x,y],FY[x,y]]

with:

FX[x,y] = A11.PX[x,y] + A12.PY[x,y] + A13.PZ[x,y]

FY[x,y] = A21.PX[x,y] + A22.PY[x,y] + A23.PZ[x,y]

using the four following animation and pictures (please note that the colors of the pictures 'PA' and 'PR' differ due to specific color post-processings):

PA[x,y] = (X and Y periodical)
PX[x,y] = (the 'X' pseudo-projection of the sphere)
PY[x,y] = (the 'Y' pseudo-projection of the sphere)
PZ[x,y] = (the 'Z' pseudo-projection of the sphere)

[Plus d'informations à propos de la pseudo-projection des surfaces -en français/in french-]
[More information about the surface pseudo-projection -in english/en anglais-]

[Plus d'informations à propos de la génération d'entrelacs -en français/in french-]
[More information about the generation of intertwinings -in english/en anglais-]

(CMAP28 WWW site: this page was created on 10/22/2008 and last updated on 03/16/2025 13:26:01 -CET-)

[See all related pictures (including this one) [Voir toutes les images associées (incluant celle-ci)]]

[Please visit the related ArtAndScience picture gallery [Visitez la galerie d'images ArtAndScience associée]]
[Please visit the related TextureSynthesis picture gallery [Visitez la galerie d'images TextureSynthesis associée]]

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Copyright © Jean-François COLONNA, 2008-2025. Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2008-2025.

Copyright © Jean-François COLONNA, 2008-2025.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2008-2025.