Orchard Visibility Problem

A tree is planted at each lattice point in a circular orchard which has center at the origin and radius r. If the radius of trees exceeds 1/r units, one is unable to see out of the orchard in any direction. However, if the radii of the trees are <1/sqrt(r^2+1), one can see out at certain angles.

See also

Euclid's Orchard, Lattice Point, Orchard-Planting Problem, Visible Point

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Honsberger, R. "The Orchard Problem." Ch. 4 in Mathematical Gems I. Washington, DC: Math. Assoc. Amer., pp. 43-52, 1973.

Referenced on Wolfram|Alpha

Orchard Visibility Problem

Cite this as:

Weisstein, Eric W. "Orchard Visibility Problem." From MathWorld--A Wolfram Web Resource.

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