From Flatland to Flatterland -- 1. The third dimension -- 2. Victoria's diary -- 3. The visitation -- 4. A hundred and one dimensions -- 5. One and a quarter dimensions -- 6. The topologist's tea-party -- 7. Along the looking-glass -- 8. Grape theory -- 9. What is a geometry? -- 10. Platterland -- 11. Cat country -- 12. The paradox twins -- 13. The domain of the hawk king -- 14. Down the wormhole -- 15. What shape is the universe? -- 16. No-branes and p-branes -- 17. Flatterland -- 18. The tenth dimension.