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by William H. Benson,Oswald Jacoby
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ISBN: 0486241408 Dover Publications Price: $5.95 |
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The magic square experts apply their wits to magic cubes. You need no advanced mathematical knowledge to construct these three-dimensional mind bogglers; including pandiagonal and perfect cubes — many entirely new constructions, too. Hours of enjoyment for beginning and advanced magic-cube buffs. 111 figures.
Table of Contents for Magic Cubes: New Recreations
| Part I. The World of Magic Cubes | |||||||
| 1. Introduction | |||||||
| 2. Third-Order Magic Cubes | |||||||
| 3. Fourth-Order Magic Cubes | |||||||
| 4. Fifth-Order Magic Cubes | |||||||
| 5. The First Perfect Magic Cube | |||||||
| 6. Triply-Even Magic Cubes | |||||||
| 7. Seventh-Order Magic Cubes | |||||||
| 8. Ninth-Order Magic Cubes | |||||||
| 9. Odd-Order Magic Cubes | |||||||
| 10. Singly-Even Magic Cubes | |||||||
| 11. Doubly-Even Magic Cubes | |||||||
| 12. Singly-Even Perfect Magic Cubes | |||||||
| Part II. Mathematical Proofs Extensio | |||||||
| 13. Extension of the New Cyclical Method to Three Dimensions | |||||||
| 14. Third-Order Magic Squares and Cubes | |||||||
| Appendix. The Two-Dimension Cyclical Method for Constructing Magic Squares |