The point C = (c1, c2, c3, c4, c5) is represented by the polygonal line shown.

Generalized parabola to generalized hyperbola

Semi-sphere is a model of the Projective plane

5-Dimensional Sphere

Line Interval In 10-D

Ruled Surface Representation -- In this case for the saddle

3-D Surfaces can be represented by 2 LINKED planar regions (pairs of points one from each region). Linking is essential

In general N-D Surfaces can be represented by N-1 LINKED planar

Regions (N-1 points one from each region). Linking is essential.

Developable surfaces are represented by 2 LINKED curves (pair of points with same y-coordinate one from each curve) as above.

Lines in 2-D are represented by points and parallel lines by points on the same vertical line. Here 4 parallel lines are shown on the projective plane model (semicircles with same diameter) and in ||-coords.

Detailed Tutorial In Construction -- to appear in the near future.