The Three-Fold Symmetry of Chromogeometry - Rational Geometry Math Foundations

Explore the fascinating world of chromogeometry in this 24-minute lecture from the Rational Geometry Math Foundations series. Delve into the three planar metrical geometries - Euclidean (blue) and two relativistic (red and green) - and discover how they interconnect to reveal new patterns and relationships. Learn about the green relativistic structure, projective lines, and colored quadrances. Examine perpendicularity and the relation between three perpendiculars. Gain insights into this key aspect of 21st-century geometry, opening doors to hundreds of new discoveries. Challenge traditional views by considering an algebraic, logical approach that transcends the limitations of real number systems.

Intro to chromogeometry!
The green relativistic structure
Projective line
Exercises
Blue, red and green quadrances
Coloured quadrances theorem
Perpendicularity
Relation between three perpendiculars