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 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