Klein Model

The Klein model is a representation of the denial of the fifth postulate by Euclid. Multiple parallels exist in this model as any point that is not on a line can have another line go through it which does not interfere with the line on the point (it is more clear with a diagram). This model demonstrates that the area of these circles are the same even though they look smaller and more elliptical as they move further from the center by the means of an arccosine function.

This model represents