An Improved Bound for the Affine Sylvester Problem

In 2006, Lenchner and Bronnimann showed that in the affine plane, given n lines, not all parallel and not all passing through a common point, there had to be at least ordinary points. The present paper improves on this result to show that there must be at least ordinary points, except for a single arrangement of 6 lines with one ordinary point.

By: Jonathan Lenchner

Published in: RC24283 in 2007


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