The 32 vertices of a 5-cube [Les 32 sommets d'un hyper-cube à 5 dimensions].




Let E be a N-dimensional space. It contains a set S of points {P(i)} with coordinates {C(1),C(2),...,C(N)}. The set S is visualized using a tridimensional euclidian space {OX,OY,OZ}:

Next figure displays a tridimensional (N=3) point (with coordinates {C(1),C(2),C(3)}) as a triangle:


                         X(3) +                                       + X(2)
                                +                                   +
                                  +                               +
                                    +                           # C(2)
                                      +                       + */*
                                        +                   +   *///*
                                          +               +     */////*
                                            +           +       *///////*
                                              +       +         */////////*
                                                +   +           *///////////
                    - - - - - - - - - - - - - - - O + + + + + + +/+/+/+/+/+/# + + X(1)
                                                -   -           */////////C(1)
                                              -       -         */////////*
                                            -           -       *///////*
                                          -               -     */////*
                                        -                   -   *///*
                                      -                       - */*
                                    -                           # C(3)
                                  -                               -
                                -                                   -
                              -                                       -
assuming that:

                    C(1) > 0
                    C(2) > 0
                    C(3) < 0



See miscellaneous set of points:




(CMAP28 WWW site: this page was created on 11/14/1997 and last updated on 09/10/2017 11:39:57 -CEST-)



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

[Please visit the related GeneralitiesVisualization picture gallery [Visitez la galerie d'images GeneralitiesVisualization associée]]
[Go back to AVirtualSpaceTimeTravelMachine [Retour à AVirtualSpaceTimeTravelMachine]]
[The Y2K bug [Le bug de l'an 2000]]

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


Copyright (c) Jean-François Colonna, 1997-2017.
Copyright (c) France Telecom R&D and CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / Ecole Polytechnique, 1997-2017.