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FSU Mathematics


Opal Graham

A Correspondence Between Projective Geometry and Circle Geometry

There is a correspondence between the geometric objects of Projective Space ℝℙ3 and the geometric objects of Circle Space CS2- the space of circles of radius between 0 to π on the 2-sphere. We go through this correspondence and discuss how this relationship can be exploited to analyze rigidity of circle polyhedra and rigidity of projective polyhedra.