Explore a revolutionary approach to mathematics in this 56-minute seminar that introduces rational trigonometry as a more computational alternative to traditional methods. Delve into the fundamental laws of rational trigonometry using elementary linear algebra, including the Cross law, Spread law, and Triple spread formula. Discover Paul Miller's spread protractor and examine examples from the Zome construction system. Investigate spread polynomials and their fascinating properties, along with quadruple quad and quadruple spread formulas. Learn about projective rational trigonometry and its applications in three-dimensional geometry, including the study of tetrahedra. Gain insights into a new mathematical framework that replaces real numbers with rational numbers, offering a more solid foundation for geometric calculations and understanding.