User:LarryLACa/Sudoku Math

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'Sudoku Math' illuminates the mathematics behind analysing the properties of Sudoku, a popular number placement puzzle. Use graphic from main Sudoku page

Contents 1 Introduction 2 Conventions & Terminology 3 Counting the Sudoku's 3.1 Total Possible Sudoku's 3.1.1 Symmetry Reductions 3.2 Total Different Sudoku's 3.3 Burnsides Theorem 3.4 Number of Puzzles 4 Groups & Subgroups 5 Minimum Number of Clues 5.1 Unavoidable Sets 6 To Do

[edit] Introduction

state the purpose

focus on 9x9 Sudoku

use Sudoku analysis as an example of a practical application of higher math concepts

provide a practical example of math concepts

target readers with math interest but without formal education

Handle how-to-solve strategies on a separate page

Mention the primary math areas with links to same

[edit] Conventions & Terminology

define the conventions for the less aquaninted Keep this brief or the article will get top heavy. define them as we progress. S81, Grid(solved), box(region), chute, band, stack Grid vs Puzzle

[edit] Counting the Sudoku's

[edit] Total Possible Sudoku's

Definition of possible, duplicates

[edit] Symmetry Reductions

[edit] Total Different Sudoku's

[edit] Burnsides Theorem

[edit] Number of Puzzles

segque to number of clues

[edit] Groups & Subgroups

[edit] Minimum Number of Clues

[edit] Unavoidable Sets

[edit] To Do

Coordinate content with main page