Penn's Orchard

On Pólya’s Orchard Problem

In 1918 Pólya formulated the following problem: “How thick must the trunks of the trees in a regularly spaced circular orchard grow if they are to block completely the view from the center?”(Pólya and Szegő [2]). We study a more general orchard model, namely any domain that is compact and convex, and find an expression for the minimal radius of the trees. As examples, solutions for rhombus-shap...

An Orchard Theorem

We describe a natural way to plant cherryand plumtrees at prescribed generic locations in an orchard.

The Orchard Morphism

We describe and prove uniqueness of a natural homomorphism (called the Orchard morphism) between some groups associated to finite sets.

DICROTIC PULSE/Orchard and Craige

15. Dillon JC, Weyman AE, Feigenbaum H, Eggleton RC, Johnston K: Cross-sectional echocardiographic examination of the interatrial septum. Circulation 55: 115, 1977 16. Lieppe W, Scallion R, Behar VS, Kisslo JA: Two-dimensional echocardiographic findings in atrial septal defect. Circulation 56: 447, 1977 17. Hagler DJ, Tajik AJ, Seward JB, Mair DD, Ritter DG: Realtime wide-angle sector echocardi...

RESULTS AND DISCUSSION Tree Growth Performance in Orchard Trials 2005-2007 CV orchard trial