Visualizing Hyperspace Via Projective Geometry
We introduce the idea of high dimensional space using simple pictures, and then proceed to examine many projective issues upon it. When considering counter-space, quadrics and homographies/projections we take special effort to use visual arguments, rather than resorting to the use of homogenous coordinates.
We also take an in depth look at the problem of determining what type of dimensional space can be creates when two projective subspaces of different dimensions intersect. I derived a result which I believe to be a complete answer to this problem, which is, as far as I know original. Computer based simulations are used to represent quadrics, 3D counter space, and 3d homograpies,
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