English

A New Take on Classic 'Pen Problems'

History and Overview 2019-12-13 v1

Abstract

In this article we generalize the classic "farm pen" optimization problem from a first course in calculus in a handful of different ways. We describe the solution to an nn-dimensional rectangular variant, and then study the situation when the pens are either regular polygons or platonic solids.

Keywords

Cite

@article{arxiv.1912.05646,
  title  = {A New Take on Classic 'Pen Problems'},
  author = {David A. Nash},
  journal= {arXiv preprint arXiv:1912.05646},
  year   = {2019}
}

Comments

11 pages, 4 figures

R2 v1 2026-06-23T12:43:25.717Z