PyGeo is most fundamentally a framework for the creation of dynamic geometric constructions - i.e. constructions which embody defined and persistent geometric relationships responsive to real time on-screen interactivity.

PyGeo is, further, an implementation of this underlying abstract framework - exposing a range of geometric objects as the building blocks for virtual, dynamic geometric constructions.

The focus is away from Euclidian geometry and metrics, and toward later geometric and mathematical developments - particularly those connected with projective geometry of real space, and the geometry of complex numbers on the plane and on the unit (Riemann) sphere.