Keys to Infinity

What can we know about numbers too large to compute or even imagine? Do the tiny bubbles in the froth of a milkshake actually form an infinite fractal pattern? What are apocalyptic numbers and recursive worlds? These and dozens of equally beguiling mathematical mysteries, problems, and paradoxes fill this mind-bending new book. Every problem and puzzle is presented in a remarkably accessible style requiring no specialized mathematical knowledge. Over one hundred illustrations enhance the text and help to explain the mathematical concepts, and stunning color images created by the author reveal the breathtaking beauty of the patterns of infinity. A variety of computer programs offer additional ways to penetrate the enigma of infinity. Read more... Ch. 1. Too Many Threes -- Ch. 2. Ladders to Heaven -- Ch. 3. Infinity Machines -- Ch. 4. Infinity World -- Ch. 5. Grid of the Gods -- Ch. 6. To the Valley of the Sea Horses -- Ch. 7. The Million-Dollar, Trillion-Digit, Pi Sequencing Initiative -- Ch. 8. Infinite Chess -- Ch. 9. The Loom of Creation -- Ch. 10. Slides in Hell -- Ch. 11. Alien Abduction Algebra -- Ch. 12. The Leviathan Number -- Ch. 13. Welcome to Worm World -- Ch. 14. Fractal Milkshakes and Infinite Archery -- Ch. 15. Creating Life Using the Cancer Game -- Ch. 16. No Zeros Allowed -- Ch. 17. Infinite Star Chambers -- Ch. 18. Infinitely Exploding Circles -- Ch. 19. The Infinity Worms of Callisto -- Ch. 20. The Undulation of the Monks -- Ch. 21. The Fractal Golden Curlicue Is Cool -- Ch. 22. The Loneliness of the Factorions -- Ch. 23. Escape from Fractalia -- Ch. 24. Are Infinite Carotid-Kundalini Functions Fractal? -- Ch. 25. The Crying of Fractal Batrachion 1,489 -- Ch. 26. Ramanujan, Infinity, and the Majesty of the Quattuordecillion -- Ch. 27. Recursive Worlds -- Ch. 28. Chaos in Ontario -- Ch. 29. Cyclotron Puzzles -- Ch. 30. Vampire Numbers -- Ch. 31. Computers, Randomness, Mind, and Infinity