Rotation about the Y axis of the 32 vertices of a 5-cube with fog [Rotation autour de l'axe Y des 32 sommets d'un hyper-cube à 5 dimensions dans le brouillard].

• The OZ axis bears the number 'i' of each point P(i). The point order is given a priori.
• The {OX,OY} plane contains N lines L(j). Each line L(j) is associated with the coordinate C(j) of each point P(i). Then, each point P(i) is visualized as a polygon belonging to the plane Z=i.

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

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

See miscellaneous set of points:

• 32 points on a trigonometric circle.



• The 2 vertices of a 1-cube.
• The 4 vertices of a 2-cube.
• The 8 vertices of a 3-cube.
• The 16 vertices of a 4-cube.
• The 32 vertices of a 5-cube.