The main goal of this project consists in developing software which would provide an immersive view of 3D-objects into a 3-manifold of geometry (S3, E3, S3, E1xS2, E1xH2, SL2). We want to do this in real time, high definition, and with graphic parameters.
Furthermore, we plan to design an exhibition about the concept of
3-dimensional manifolds. We wish to show a set of pictures and
interactive objects in order to promote their flavor to a large
audience. We plan to use graphics and sound in an immersive
setting. The complete version will reach the statement of the
Geometrization Theorem of Thurston-Perelman. This would the first
project mixing contemporaneous mathematics and art.