Orchard Visibility Problem (original) (raw)

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld


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

Explore with Wolfram|Alpha

References

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. https://mathworld.wolfram.com/OrchardVisibilityProblem.html

Subject classifications