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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109 Solutions
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Last Solution submitted on Sep 18, 2019

Last 200 Solutions

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1 Comment

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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geometry grid hexagon

Problem 1489. Hexagonal Tiling Dots in a Circle

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Last 200 Solutions

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Problem Recent Solvers21

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Problem 1489. Hexagonal Tiling Dots in a Circle

Solution Stats

Last 200 Solutions

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Problem Recent Solvers21

Suggested Problems

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