Magic Squares and Cubes

“Magic Squares and Cubes” by W. S. Andrews is the definitive early 20th-century classic on the mathematical, symbolic, and mystical construction of magic squares and magic cubes. Far more than a collection of puzzles, this monumental work explores the mathematical logic, geometric structure, and esoteric significance of number arrangements that have fascinated scholars, occultists, mathematicians, and mystics for centuries.

Magic squares—grids in which all rows, columns, and diagonals sum to the same constant—have been linked historically to Hermeticism, Kabbalah, astrology, planetary magic, and Pythagorean number philosophy. Andrews documents their origin and development in Eastern and Western traditions, showing how they served not only as mathematical curiosities but as symbolic diagrams representing cosmic order.

The book includes hundreds of examples of squares of different orders (odd, even, double-even, associated, bordered, pandiagonal), magic cubes, and advanced constructions. Andrews provides step-by-step methods, proofs, historical notes, illustrations, and references to earlier works by mathematicians, alchemists, and occult writers.

This text is essential for readers in mathematics, esotericism, sacred geometry, and symbolic number systems.

✅ What You’ll Learn:

• How magic squares of various orders are constructed
• Mathematical principles behind balanced numerical arrangements
• Methods for generating magic cubes and higher-dimensional patterns
• Historical origins of magic squares in Egypt, India, China, Islam, and Europe
• Connections between magic squares and occult symbolism
• Pythagorean and Hermetic interpretations of numerical harmony
• Properties of associated, bordered, and pandiagonal squares
• How magic squares relate to planetary magic and talismanic design

💡 Key Benefits:

• Gain mastery of magic square and cube construction
• Explore a symbolic system foundational to Western esoteric mathematics
• Strengthen numerical reasoning and geometric pattern recognition
• Understand the occult and historical context behind mathematical diagrams
• Access one of the most comprehensive references ever published on the subject
• Useful for both mathematicians and esoteric researchers

👤 Who This Book Is For:

• Intermediate and advanced students of numerology and sacred mathematics
• Mathematicians and puzzle enthusiasts
• Practitioners of Hermeticism, Kabbalah, and planetary magic
• Researchers of ancient symbolism and sacred geometry
• Anyone studying the intersection of mathematics and mysticism

📚 Table of Contents:

• Historical Survey of Magic Squares
• Odd-Order Square Construction
• Even and Double-Even Orders
• Associated and Pandiagonal Squares
• Bordering Techniques
• Magic Cubes
• High-Order Examples
• Notes on Occult and Symbolic Uses
• Appendices & Mathematical Tables

Magic Squares and Cubes By W. S. Andrews