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.
see attached© BrainMass Inc. brainmass.com October 10, 2019, 7:18 am ad1c9bdddf
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 ...
Problems of Incidence Geometry