Fun with Latin Squares
Michael Han, Tanya Khovanova, Ella Kim, Evin Liang, Miriam (Mira), Lubashev, Oleg Polin, Vaibhav Rastogi, Benjamin Taycher, Ada Tsui, and Cindy, Wei
TL;DR
This paper introduces new types of Latin squares inspired by Sudoku variations, explores their existence and properties, and discusses methods for generating them.
Contribution
It presents novel Latin square variants, investigates their existence conditions, properties, and proposes generation techniques.
Findings
Discovered several new Latin square types
Identified conditions for their existence
Developed methods for generating these squares
Abstract
Do you want to know what an anti-chiece Latin square is? Or what a non-consecutive toroidal modular Latin square is? We invented a ton of new types of Latin squares, some inspired by existing Sudoku variations. We can't wait to introduce them to you and answer important questions, such as: do they even exist? If so, under what conditions? What are some of their interesting properties? And how do we generate them?
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