Distorsion of the Bonan-Jeener-Klein double bottle [Distorsion de la double bouteille de Bonan-Jeener-Klein ]

Distorsion of the Bonan-Jeener-Klein double bottle [Distorsion de la double bouteille de Bonan-Jeener-Klein].




A tridimensional object is defined as a set of points P={X,Y,Z}. To each point P is associated the following octonion O={X,Y,Z,0,0,0,0,0}. Then each octonion O is submitted to the transformation: 
                                   e2
                                A.O   + B
                    O --> O' = -----------
                                   e1
                                C.O   + D
with {e1,e2} being two arbitrary real numbers and {A,B,C,D} four arbitrary octonions.

At last a new point P' is defined with {X',Y',Z'} being arbitrary linear combinations of the components of O'. The set of points P' defines a new tridimensional object...


Nota: the radius and the colors of each particle visualizing a point P' vary according to its {X',Y',Z'} coordinates...


See some related pictures:

The Bonan-Jeener double bottle  
Distorsion of the Bonan-Jeener-Klein double bottle


(CMAP28 WWW site: this page was created on 06/03/2022 and last updated on 06/04/2026 22:21:47 -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 ArtisticCreation picture gallery [Visitez la galerie d'images ArtisticCreation associée]]
[Please visit the related GeneralitiesVisualization picture gallery [Visitez la galerie d'images GeneralitiesVisualization 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, 2022-2026.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2022-2026.