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| Follow the
links below to see some models of geometries featured in the movie.
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"The Smallest
Perfect Universe" is a 30 min computer-animated movie about PG(3,2), the
smallest projective space.
In this elementary guided tour of PG(3,2), the two most beautiful spatial models of this space are constructed. Using these models, some of the most important properties and substructures of projective spaces are investigated. Examples for these substructures are: planes (Fano planes), elliptic quadrics ("spheres"), hyerbolic quadrics, spreads (partitions of the points into lines), packings (Kirkman's schoolgirls problem), Desargues configuration (God's fingerprint), etc. |
