An introduction to chromogeometry | WildTrig: Intro to Rational Trigonometry | N J Wildberger

Chromogeometry is a new three-fold symmetry in planar geometry, that brings together the usual Euclidean geometry (here called `blue') with two relativistic geometries (called `red' and `green'). There are two basic principles: that the three geometries are essentially alike, and that they all fit together to form a harmonious whole.

This video is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry.

Video Contents:
00:00 Introduction to chromogeometry
2:45 Two general principles about three planar geometries
5:41 Coloured spreads theorem (formed by two lines)

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[escher]

I think there is a connection between these 3 kinds of quadrances and the 3 ways clifford algebras can square the orthonormal base vectors to -1, 0, 1. But I couldn't quite connect it yet.