The Penults of Tak: Adventures in impartial, normal-play, positional games
Combinatorics
2024-08-06 v1
Abstract
For normal play, impartial games, we define penults as those positions in which every option results in an immediate win for the other player. We explore the number of tokens in penults of two positional games, Impartial Tic and Impartial Tak. We obtain a complete classification in the former case. We then explore winning strategies and further directions.
Cite
@article{arxiv.2408.01837,
title = {The Penults of Tak: Adventures in impartial, normal-play, positional games},
author = {Boris Alexeev and Paul Ellis and Michael Richter and Thotsaporn Aek Thanatipanonda},
journal= {arXiv preprint arXiv:2408.01837},
year = {2024}
}
Comments
9 pages, 10 figures