A Conjecture about Periods in Subtraction Games

TL;DR

This paper proposes a conjecture aiming to characterize the periodic behavior of nim values in subtraction games with a specific set size, contributing to the theoretical understanding of combinatorial game structures.

Contribution

It introduces a new conjecture that describes the periods of nim values in subtraction games with three-element subtraction sets.

Findings

Conjecture about periods in subtraction games with three-element sets

Potential framework for future proofs of periodicity

Advances understanding of nim value patterns

Abstract

We make a conjecture that characterizes the periods of the nim values in subtraction games with subtraction set of size 3.