My secondary geometry class is really amazing and is likely going to finish everything I have for the curriculum with a few weeks left in the school year. I was thinking to use these last few weeks to look into some interesting Non-Euclidian geometries, such as hyperbolic, affine, elliptic etc. Unfortunately, I do not know much about these different geometries (my training is in computer science) so...
- What are some good resources to get a good overview of non-euclidian geometries?
- What are some fun/interesting activities involving non-euclidian geometry? It will be the end of the school year so i don't to get into anything too rigorous but interesting would be great!
- Are there any other extensions to either non-euclidian or euclidian geometry that are not in the typical secondary curriculum but which would be fun and interesting for my students?