Nullhomotopic and Generating Knight’s Tours on Non-Orientable Surfaces

We investigate closed knight’s tours on Möbius strip and Klein bottle chess boards. In particular, we characterize the board dimensions that admit tours that are nullhomotopic and the board dimensions that admit tours that realize generators of the fundamental groups of each of the surfaces.

Authors

Bradley Forrest
Zachary Lague

Institutions

Stockton University (US)
New York University (US)

Publication Details

Journal: The PUMP Journal of Undergraduate Research
Published: 2024-08-25
DOI: https://doi.org/10.46787/pump.v7i0.4231
Primary Topic: Mathematics and Applications
Type: article
Field-Weighted Citation Impact: 0.00

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article

Nullhomotopic and Generating Knight’s Tours on Non-Orientable Surfaces

Bradley Forrest, Zachary Lague

Aug 25, 2024

The PUMP Journal of Undergraduate Research

Mathematics and Applications

article

Nullhomotopic and Generating Knight’s Tours on Non-Orientable Surfaces

Bradley Forrest, Zachary Lague

August 25, 2024article en

Abstract

The PUMP Journal of Undergraduate ResearchVol. 7

Stockton University (US), New York University (US)

Openalex Percentile: Top 77%

Mathematics and Applications

DOI Open Access PDF OpenAlex

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Nullhomotopic and Generating Knight’s Tours on Non-Orientable Surfaces — Bradley Forrest, Zachary Lague · The PUMP Journal of Undergraduate Research (2024) | TGRS Research Map | TGRS