This page is supposed to give a more
detailed overview of the module,
including summaries and further
reading tips, if you click on the respective heading.
I will successively update this page, according
to the progression of my lectures.
Meanwhile, you may also want to muse on symmetry while contemplating
some of
Escher's
periodic drawings.
Current plan of the module:
- Week 1: From Euclid to Klein: Conceptual introduction
- Weeks 2+3: From geometry to groups: Distance and motions
- Week 4: Forgot your norm? Affine space
- Week 5: Escher's world: All motions on Euclidean two- and threespace
- Week 6: Beyond flatland: More about motions on Euclidean space
- Week 7: Earth-like metric geometry: Spherical geometry
- Week 8: Space-like metric geometry: Hyperbolic geometry
- Week 9 and 10: Laws of perspective: Projective geometry