Revised Modern Euclidean Geometry with Quantized Angle

This is AP's first book in math research series. The book came about from research into the parallelepiped for which a quantized angle was required. It quickly escalated into a theorem that Old Math never had- all triangles require at least one of its 6 parts = 3 sides + 3 angles, be a irrational number valued part. That caused me to hunt for a proof. And the spectacular fallout of all this research ends up explaining why physics has atomic spectral lines and white light is broken into a rainbow of colors. Further, this research forces us to revise all of Old Math Geometry to include not only quantized space but the quantized angle.
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