A tree is planted at each lattice point in a circular orchard which has center at the origin and radius . If the radius of trees exceeds units, one is unable to see out of the orchard in any direction. However, if the radii of the trees are , one can see out at certain angles.
Orchard Visibility Problem
See alsoEuclid's Orchard, Lattice Point, Orchard-Planting Problem, Visible Point
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ReferencesHonsberger, R. "The Orchard Problem." Ch. 4 in Mathematical Gems I. Washington, DC: Math. Assoc. Amer., pp. 43-52, 1973.
Referenced on Wolfram|AlphaOrchard Visibility Problem
Cite this as:
Weisstein, Eric W. "Orchard Visibility Problem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/OrchardVisibilityProblem.html