Problem 1489. Hexagonal Tiling Dots in a Circle

Created by Yaroslav

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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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Last Solution submitted on Oct 18, 2025

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James on 10 Mar 2017

This problem is looking for the number of vertices on the hexagonal grid inside the circle of radius r. The center of the hexagon is not counted as a point for this problem, and this is true for every hexagon inside the circle.

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Problem 1489. Hexagonal Tiling Dots in a Circle

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Last 200 Solutions

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Problem 1489. Hexagonal Tiling Dots in a Circle

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Last 200 Solutions

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Problem Recent Solvers28

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More from this Author18

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