# Geometry: Incidence geometry

1. Construct a model of incidence geometry that has neither the elliptic hyperbolic nor Euclidean parallel properties.

2. Consider a finite geometry where the points are interpreted to be the six vertices of a regular octedron and the lines are sets of exactly two points.

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1. We will construct a model of incidence geometry that has different parallelism properties for different choices of a line l and a point P on l. We will take 5 points.

Firstly, every pair of points needs to have a line through them, and every line has to have at least two points on it. Also, we cannot have all the points on the ...

#### Solution Summary

Problems of Incidence Geometry

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