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.
The Goldbach Conjecture, Part 2
Distance walked 2D
All your base are belong to us
Construct an index vector from two input vectors in vectorized fashion
Chebyshev polynomials of the 2nd Kind
Shifted Hexagonal Tiling Dots in a Circle
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