Spreads, determinants and chromogeometry (III) | WildTrig: Intro to Rational Trigonometry

We now introduce the three dot products that control chromogeometry in the plane: giving us the blue, red and green geometries, one of which is Euclidean geometry, the other two are relativistic geometries associated to the names of Einstein, Lorentz and Minkowski. Each of these geometries is associated to a symmetric 2 x 2 matrix. We also explain the three associated quadrances, and then move to understanding spreads--the analogs of angles in rational trigonometry.

Coloured analogs of Fibonacci's identity appear. As does the Coloured spread theorem, which connects all three spreads. Naturally determinants are never far from view!

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