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In a full-page ad he took out in the Wall Street Journal in October, Wilson lamented that Lululemon had “systematically dismantled the business model” that had made it one of retail’s biggest success stories of the century.
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Why didn’t Sinh[ ArcCosh[x] ] just return √(x² − 1)? The expression it returned is equivalent to this: just square the (x + 1) term, bring it inside the radical, and simplify. That line of reasoning is correct for some values of x but not for others. For example, Sinh[ArcCosh[2]] returns −√3 but √(2² − 1) = √3. The expression Mathematica returns for Sinh[ArcCosh[x]] correctly evaluates to −√3.
The better approach: cube coordinates (q, r, s where s = -q-r). It's a 3D coordinate system for the three hex axes. Neighbor finding becomes trivial — just add or subtract 1 from two coordinates.