Chessboard based on the geometry of the Bonan-Jeener-Klein triple bottle (Echiquier base sur la geometrie de la triple bouteille de Bonan-Jeener-Klein) {a chapter of 'Mathematics - A Virtual Instrument For Exploring Space Time And Beyond'}

Chessboard based on the geometry of the Bonan-Jeener-Klein triple bottle [Echiquier basé sur la géométrie de la triple bouteille de Bonan-Jeener-Klein].

This picture 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 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 Bonan-Jeener's triple Klein bottle)
PY[x,y] = (the 'Y' pseudo-projection of the Bonan-Jeener's triple Klein bottle)
PZ[x,y] = (the 'Z' pseudo-projection of the Bonan-Jeener's triple Klein bottle)

[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 01/23/2009 and last updated on 06/04/2026 23:41:39 -CEST-)

[See the generator of this picture [Voir le générateur de cette image]]

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

[Go back toMathematics - A Virtual Instrument For Exploring Space Time And Beyond [Retour à {a chapter of 'Mathematics-AVirtualInstrumentForExploringSpaceTimeAndBeyond'}]]

[The Y2K Bug [Le bug de l'an 2000]]
[Are we ready for the Year 2038 [Notre informatique est-elle prête pour l'An 2038]?]

[Site Map and Help [Plan du Site et Aide]]
[Mail [Courrier]]
[About Pictures and Animations [A Propos des Images et des Animations]]

Copyright © Jean-François COLONNA, 2009-2026. Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2009-2026.

Copyright © Jean-François COLONNA, 2009-2026.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2009-2026.