English

Phutball Draws

Combinatorics 2025-04-10 v1

Abstract

In this short note, we exhibit a draw in the game of Philosopher's Phutball. We construct a position on a 12 x 10 Phutball board from where either player has a drawing strategy, and then generalize it to an m x n board with m-2 >= n >= 10.

Cite

@article{arxiv.2504.06451,
  title  = {Phutball Draws},
  author = {Sucharit Sarkar},
  journal= {arXiv preprint arXiv:2504.06451},
  year   = {2025}
}

Comments

This note is from several years ago, but was never uploaded to the ArXiv. This has already been published in the book "Games of No Chance 5"

R2 v1 2026-06-28T22:51:37.379Z