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A geometry is defined as the pure mathematics of points and lines and curves and surfaces. It works by defining a set of axioms which clarify how points and lines are constituted, for example: ''two unique points define a straight line'', and deriving from these results. Some geometries such as the [[Fano Plane]] many have seven points or fewer. The simplest geometry is the empty set.

A geometry is defined as the pure mathematics of points and lines and curves and surfaces. It works by defining a set of axioms which clarify how points and lines are constituted, for example: ''two unique points define a straight line'', and deriving from these results. Some geometries such as the [[Fano Plane]] many have seven points or fewer. The simplest geometry is the empty set.