Manifold Cross Section 

Based on the given equation for a 10 dimension spacetime, a graph showing a 2 dimensional surface can be plotted. 

  

What follows is the intersection of a volume with the 10 dimension surface.  This is akin to a plane cutting through a sphere.  The intersection results in a circle. This is the cross section of a hyper toroid.

Cross section at the major diameter

Cross section at the first tangent point

Cross section at the internal tangent point

Mid Tube

Moving along the Minor Axis

Cross section just pass the minor tangent point

Mid tube Minor axis

 

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Last Updated on March 12, 2002

©2002 Robert D Rutkiewicz