English

Discovering a new universal partizan ruleset

Combinatorics 2022-01-19 v1

Abstract

In Combinatorial Game Theory, we study the set of games G, whose elements are mapped from positions of rulesets. In many case, given a ruleset, not all elements of G can be given as a position in the ruleset. It is an intriguing question what kind of ruleset would allow all of them to appear. In this paper, we introduce a ruleset named turning tiles and prove the ruleset is a universal partizan ruleset, that is, every element in G can occur as a position in the ruleset. This is the second universal partizan ruleset after generalized konane.

Keywords

Cite

@article{arxiv.2201.06069,
  title  = {Discovering a new universal partizan ruleset},
  author = {Koki Suetsugu},
  journal= {arXiv preprint arXiv:2201.06069},
  year   = {2022}
}

Comments

8 pages, 5 figures

R2 v1 2026-06-24T08:51:36.666Z