The 4 vertices of a 2-cube [Les 4 sommets d'un hyper-cube à 2 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}:
- 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.
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
11:39:49 -CEST-)
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