Higher Non-orientable Surfaces
By glueing together projective planes successively we get non-orientable surfaces of higher demigenus. The glueing process consists of cutting out a little disk from each surface and identifying (glueing) their boundary circles. Glueing two projective planes creates the Klein bottle.
The article on the fundamental polygon describes the higher non-orientable surfaces.
Read more about this topic: Real Projective Plane
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