Section 7

Image to show the translation of 4 D points onto the surface of a hypersphere contained in a single 3 D space

The 4-D path can be normalize by finding a single 3-D space that the 4-D path is contained in. This allows a circle to be calculated from the 4-D loop in 3-D space.

The center of the circle is calculated.

A vector is computed from the center through each point ( V ). The longest vector is used to form a sphere. All other vectors are extended until they make contact with the surface of the sphere.

Although the sphere appears 3-D, it actually exist in hyperspace ( the points are actually in different 3-D spaces ).

Last modified Nov 16, 2001