OEIS A000256: Simple triangulations of the plane

We explore A000256, the OEIS entry counting simple triangulations of the plane. We unpack what a “simple triangulation” means, why counting them is rich in geometry and combinatorics, and how these ideas connect to ears in polygons, Delaney triangulations, and the empty-circle condition. Along the way we touch computational methods and the role of triangulations in mesh generation and computational geometry.

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