Geometry
Transformations of the plane, curvature of curves and surfaces, geodesics and non-Euclidean geometry.
9 planned
No page in this subject is open yet. The planned list below shows what is coming, in learning order.
Planned
In learning order. These are not pages yet.
- When parallel lines meet under a transformationIntro
- How sharply does a curve bend at a point?Intro
- How many ways can you move the plane without changing distances?Intro
- How does a moving frame follow a curve through space?Advanced undergrad
- How can a surface bend in opposite directions at once?Advanced undergrad
- Which motions leave a tiling unchanged?Advanced undergrad
- Why do shortest routes on a sphere follow great circles?Advanced undergrad
- How can infinitely many lines through one point miss the same line?Advanced undergrad
- Why does total curvature remember the number of holes?Advanced undergrad
How it connects
Builds on Linear algebra Calculus Topology Abstract algebra
Leads to none
Subjects marked “connection” are linked by a related idea, not by a prerequisite.