Question: A science policy analyst is modeling energy transmission efficiency across a network of nodes arranged in a regular hexagon. One node is at the origin $O$, and adjacent nodes are at $A = (1, 0)$, $B = \left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$, and $C = \left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$. The analyst wants to find the complex number $z$ representing the node opposite to $O$, assuming integer coordinates are used in a scaled grid. Find the coordinates of this farthest node.

Tue, 05 May 2026 21:18:46 +0000

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