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math.CO2018
Best play in Dots and Boxes endgames
Daniel Allcock
We give very simple algorithms for best play in the simplest kind of Dots & Boxes endgames: those that consist entirely of loops and long chains. In every such endgame we compute t…
math.AG2018
The tetrahedron and automorphisms of Enriques and Coble surfaces of Hessian type
Daniel Allcock, Igor Dolgachev
Consider a cubic surface satisfying the mild condition that it may be described in Sylvester's pentahedral form. There is a well-known Enriques or Coble surface S with K3 cover bir…