THE PENULTS OF TAK: ADVENTURES IN IMPARTIAL, NORMAL-PLAY, POSITIONAL GAMES

Boris Alexeev; Paul Ellis; Michael Richter; Thotsaporn Aek Thanatipanonda

doi:10.5281/zenodo.15283760

THE PENULTS OF TAK: ADVENTURES IN IMPARTIAL, NORMAL-PLAY, POSITIONAL GAMES

Boris Alexeev
, Paul Ellis
, Michael Richter
, Thotsaporn Aek Thanatipanonda

Science Division

Department of Mathematics
Baruch College

Research output: Contribution to journal › Article › peer-review

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, and a partial classification in the other. We also explore winning strategies and further directions.

Original language	English
Article number	#G1
Journal	Integers
Volume	25
DOIs	https://doi.org/10.5281/zenodo.15283760
Publication status	Published - 2025

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title = "THE PENULTS OF TAK: ADVENTURES IN IMPARTIAL, NORMAL-PLAY, POSITIONAL GAMES",

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, and a partial classification in the other. We also explore winning strategies and further directions.",

author = "Boris Alexeev and Paul Ellis and Michael Richter and Thanatipanonda, \{Thotsaporn Aek\}",

year = "2025",

doi = "10.5281/zenodo.15283760",

language = "English",

volume = "25",

journal = "Integers",

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publisher = "Colgate University",

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AU - Alexeev, Boris

AU - Ellis, Paul

AU - Richter, Michael

AU - Thanatipanonda, Thotsaporn Aek

PY - 2025

Y1 - 2025

N2 - 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, and a partial classification in the other. We also explore winning strategies and further directions.

AB - 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, and a partial classification in the other. We also explore winning strategies and further directions.

UR - https://www.scopus.com/pages/publications/105004913435

U2 - 10.5281/zenodo.15283760

DO - 10.5281/zenodo.15283760

M3 - Article

AN - SCOPUS:105004913435

SN - 1553-1732

VL - 25

JO - Integers

JF - Integers

M1 - #G1

ER -

THE PENULTS OF TAK: ADVENTURES IN IMPARTIAL, NORMAL-PLAY, POSITIONAL GAMES

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