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Geometry: Incidence geometry

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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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Problems of Incidence Geometry

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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 ...

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Chris Busu, PhD (IP)
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  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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