| Introduction | 1 |
| PART I: NUMBERS | 7 |
| l. 666 and Friends | 9 |
| 2. Archimedes' Revenge | 26 |
| 3. Prime Prostitution | 34 |
| 4. The Cryptic Case of a Swarthy Stranger | 48 |
| PART II: SHAPES | 79 |
| 5. Adventures of an Egg Man | 81 |
| 6. The Mobius Molecule | 108 |
| 7. The Case of the Missing | |
| Three-Holed Hollow Sphere with One Handle | 122 |
| PART III: MACHINES | 135 |
| 8. Turing's Universal Machine | 139 |
| 9. Did Willy Loman Die in Vain? | 151 |
| 10. The Machine Who Would Be King | 167 |
| 11. A Boy and His Brain Machine | 190 |
| PART IV: "ONE MAN, ONE VOTE" | 213 |
| 12. Is Democracy Mathematically Unsound? | 215 |
| 13. The Quantum Congress | 249 |
| Suggestions for Further Reading | 261 |
| Index | 263 |