On the Closed-Form Solution to the Interior Goat Problem in One Dimension
History and Overview
2023-04-04 v1 Optimization and Control
Abstract
The "interior goat problem" is a numerical puzzle which has haunted mathematicians for nearly three centuries. Closed-form solutions have only been found for the two-dimensional case, and although approximations have been established for higher-dimensional versions, the mathematical literature lacks a solution to the one-dimensional interior goat problem. To amend this oversight, we provide a closed-form solution to the interior goat problem in one dimension and speculate on continuations to even lower dimensional cases.
Cite
@article{arxiv.2304.00981,
title = {On the Closed-Form Solution to the Interior Goat Problem in One Dimension},
author = {Nathaniel Dene Hoffman},
journal= {arXiv preprint arXiv:2304.00981},
year = {2023}
}
Comments
5 pages, 4 figures