Thank you for the correction I actually didn't realise that so have learned something. Specifically for people who are interested it seems you have to replace

Thank you for the correction I actually didn't realise that so have learned something. Specifically for people who are interested it seems you have to replace the parallel postulate with a postulate that says every point is a saddle point (which is like the centre point of a pringle if you know what that looks like). https://en.wikipedia.org/wiki/Pringles https://en.wikipedia.org/wiki/Pringles