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12-self-dual 12-gon

12-self dual 12-gon

The vertices , , ... , (in blue) can be chosen freely. The vertices (in orange) must lie in the perpendicular space of : can be chosen with degree 2 of freedom, while can only be chosen with degree 1 of freedom, and is then completely determined. The rest of the vertices (in gray) are completely determined by the previous vertices.