Office Applications and Entertainment, Magic Cubes (Natural Numbers)

Contents

1.0  Introduction

2.0  Magic Cubes (3 x 3 x 3)
2.1  Hystorical Background
2.2  Analytic Solution
2.3  Rotation and Reflection
2.4  Spreadsheet Solution

3.0  Magic Cubes (4 x 4 x 4)
3.1  Hystorical Background
3.2  Analytic Solution
3.3  Perfect Magic Cubes of order 4 don't exist
3.4  Construction based on Pan Magic Squares
3.5  Interactive Solution
3.7  Pantriagonal Magic Cubes
3.8  Pan Diagonal/Triagonal Magic Cubes
3.9  Simple Associated Magic Cubes
3.10 Pantriagonal/Associated Magic Cubes
3.11 Spreadsheet Solutions  (1)
3.12 Quaternary Composition (1)

3.13 More Simple Magic Cubes
3.14 More Pantriagonal Magic Cubes
3.15 Spreadsheet Solutions  (2)
3.16 Quaternary Composition (2)

4.0  Magic Cubes (5 x 5 x 5)
4.1  Hystorical Background
4.2  Analytic Solution Perfect Magic Cubes
4.3  Analytic Solution Bordered Magic Cubes
4.6  Center Symmetric Magic Cubes, Andrews
4.7  Analytic Solution Semi Pan Magic Cubes
4.8  Pantriagonal Magic Cubes, General
4.9  Pantriagonal Magic Cubes, Moriyama
4.10 Pan Diagonal/Triagonal Magic Cubes
4.11 Spreadsheet Solutions

5.0  Quinary Composition (5 x 5 x 5)
5.1  Introduction
5.2  Sudoku Comparable Cubes
5.3  Semi Pan Magic Cubes (1)
5.4  Semi Pan Magic Cubes (2)
5.5  Pantriagonal Magic Cubes, General
5.6  Pantriagonal Magic Cubes, Moriyama
5.7  Pan Diagonal/Triagonal Magic Cubes
5.8  Center Symmetric Magic Cubes, Andrews

8.0  Magic Cubes (6 x 6 x 6)
8.1  Historical Background
8.2  Simple Magic Cubes
8.3  Associated Magic Cubes
8.4  Magic Cubes with Magic Border Planes (s-Magic)
8.5  Bordered Magic Cubes
8.6  Perfect Magic Cubes
8.7  Pantriagonal Magic Cubes

10.0 Magic Cubes (7 x 7 x 7)
10.1 Introduction
10.2 Sudoku Comparable Cubes
10.3 Pandiagonal Associated Magic Cubes (Perfect)
10.4 Pantriagonal Associated Magic Cubes

6.0  Construction Methods (Higher Order)
6.1  Introduction
6.2  Composition by means of Sub Cubes
6.3  Composition by means of Factor Cubes
6.5  Composition by means of Trenkler Cubes
6.4  Knight Jump Method

9.0  Construction Methods (Single Even)
9.2  Magic Cubes Order 10
9.3  Magic Cubes Order 14
9.4  Magic Cubes Order 18

7.0  Special Cubes, Prime Numbers

List of VBA Subroutines
List of Spreadsheet Solutions
List of Attachments