A universal point set is a set of points that can be used as the vertices for straight-line drawings of every \( n \)-vertex planar graph. We still don't know how big they have to be – the best lower bounds are only a little more than \( n \) while the best upper bounds are quadratic – but now the best lower bounds are a little bigger than they were thanks to this new preprint by Scheucher, Schrezenmaier, and Steiner: https://arxiv.org/abs/1811.06482
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