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Problem 1489. Hexagonal Tiling Dots in a Circle

Created by Yaroslav

Return how many Hexagonal Tiling grid points there are inside a circle of radius r centred at (0,0) (including points on the edge). Assume that a Hexagonal Tiling grid is a 2D Regular Hexagonal Tessellation with equal edges of size e=1.

For symmetry purposes, assume that (0,0) point is a vacancy; i.e., there are points at (±1,0), (±1/2,±√3/2), etcetera.

Neither string operations nor interpolations are allowed!

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8 correct solutions 1 incorrect solutions
Last solution submitted on Sep 07, 2014