Sudoku Symmetry Group

TL;DR

This paper explores the symmetry group of Sudoku grids, detailing all symmetric transformations, and emphasizes the mathematical group theory concepts involved without proposing new solving strategies.

Contribution

It systematically characterizes all symmetries of Sudoku grids using group theory, providing a comprehensive mathematical description.

Findings

Identifies all symmetric transformations of Sudoku grids

Classifies the symmetry group structure of Sudoku

Provides a mathematical framework for Sudoku symmetries

Abstract

The mathematical aspects of the popular logic game Sudoku incorporate a significant number of the group theory concepts. In this note, we describe all symmetric transformations of the Sudoku grid. We do not intend to obtain a new strategy of solving Sudoku and do not describe basic ideas of the game which can be found in numerous other sources.