NJ's Pizza Model for Organizing Geometry - Rational Geometry Math Foundations

Explore a comprehensive approach to organizing metrical geometry in this 39-minute video lecture. Learn how to systematically categorize various mathematical geometries using a pizza-making analogy. Discover different types of geometries, basic orientations for description, and the importance of choosing a base number system. Delve into affine and projective geometry, and examine a hierarchy of interconnected geometries. Investigate specific examples such as the Euclidean plane, Lorentz (relativistic) plane, and elliptic geometry. Gain valuable insights into the structure and organization of geometric systems, enhancing your understanding of this fundamental mathematical field.

Intro to organizing geometry
Different kinds of geometries
Basic orientations for describing geometries
A base number system
Choose a type
Affine and projective geometry
A hierarchy of interconnected geometries
Euclidean plane
Lorentz relativistic plane
Elliptic geometry