Our Mathematical Senses

WEEK 1: Perspective Drawing from First Principles Lecture 1: Why do families of parallel lines appear to converge in our vision? Lecture 2: Can we determine the position of the observer in a perspective drawing?   WEEK 2: An Invitation to Projective Geometry Lecture 3: A geometry without parallel lines? Lecture 4: Does projective geometry tell us anything about nonlinear curves?   WEEK 3: The Cross Ratio: A Projective Invariant Lecture 5: What is preserved under perspective transformations? Lecture 6: What can the cross ratio tell us?   WEEK 4: Automorphisms of the Projective Plane Lecture 7: Homogeneous coordinates and the topology of the real projective plane Lecture 8: Automorphisms of the real projective plane