Solution of one problem of G. Pólya

Authors

  • Vladimir Janković Mathematical Faculty, Studentski trg 16, 11000 Beograd, Yugoslavia Author

Keywords:

Lattice point, Pick's theorem

Subjects:

52C05

Abstract

We present the complete solution of the following problem of G. Pólya: Circular forest has a center at the origin and radius $R\geq 1$. A person is staying at the center and the trees of the radius $r$ are planted at all other lattice points of the forest. Determine the maximal value $\rho$ of the radius $r$ for which the person can see out of the forest and, in the case $r=\rho$, determine the directions in which he/she should look in order to see out of the forest.

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Published

1996-04-15

Issue

Vol. 48 No. 1–2 (1996): Vol. 48, Issue 1–2

Section

Articles

License

Copyright (c) 1996 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.