Colored Spreads and Generalizations in Rational Trigonometry - Lecture 2

Explore the fundamental concepts of metrical planar geometries in this 27-minute video lecture from the WildTrig: Intro to Rational Trigonometry series. Delve into the three primary geometries: blue (Euclidean), red, and green (relativistic or Lorentzian), and their corresponding notions of spread. Learn how to visualize and interpret red and green spreads using cross products, determinants, and unit circle analogs in relativistic geometries. Discover the connections between these concepts and their applications to perpendicularity and Pythagoras' theorem. Gain a deeper understanding of general dot products and spreads, providing a comprehensive foundation for advanced geometric analysis.

Introduction
Red geometry
Red spread
Green geometry
Green spread
A general dot product
Perpendicularity and Pythagoras' theorem
A general spread