Problem 1489. Hexagonal Tiling Dots in a Circle

Created by Yaroslav

Solve Later

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!

Solve

Solution Stats

110 Solutions
22 Solvers

Last Solution submitted on May 25, 2020

Last 200 Solutions

Problem Comments

1 Comment

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.

Problem Recent Solvers22

Problem Tags

geometry grid hexagon

Problem 1489. Hexagonal Tiling Dots in a Circle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers22

Suggested Problems

More from this Author18

Problem Tags

Problem 1489. Hexagonal Tiling Dots in a Circle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers22

Suggested Problems

More from this Author18

Problem Tags

Players