CONTENTS
PART I
THE LATOOCARFIAN CIVILIZATION
Chapter 1. Introduction 3
Chapter 2. The Ancient Latdocarfian Civilization 5
1 The Air Pocket 5
2 Ancient History 6
Chapter 3. Modern History 11
1 Mathematical Art 11
2 Status 13
Chapter 4. Biology of the Latoocarflans 15
1 Light-Emitting Heads 15
2 Circulatory System 16
3 Communication 16
4 Alzheimer's on Ganymede 19
5 The Ice Plankton of Ganymede 20
6 Pattern Smorgasbord 21
7 Cross References 21
Chapter 5. Interlude: Graphics and Mathematics 23
Chapter 6. The King 25
1 Riding the Waves 25
2 Personal Computers 26
Chapter 7. Interlude: Chaos and Dynamical Systems 29
1 Attractors 29
2 The Lorenz Attractor 32
3 Build Your Own Chaos Machine 32
Chapter 8. Research at the King's Fractal Palace 35
1 The Pi Slaves 35
2 Digressions 37
3 Parallel Processing 38
Chapter 9. Latoocarfian Classes 41
1 Lords 41
2 Villeins and Serfs 42
3 Crofters and Cotters 42
4 Women 42
5 Slaves 42
6 Prohaptors 43
Chapter 10. Interlude: What is Iteration? 45
Chapter 11. The Dreams of the Lords 47
Chapter 12. Interlude: Where is the Beauty? 55
1 Mathematical Observations and Tips 55
2 Ghost Siblings 57
3 Other Experiments 57
Chapter 13. The Dreams of the Villeins and Serfs 59
Chapter 14. Interlude: Lyapunov Logomania 61
1 Mikhailovich Lyapunov 61
2 Computing Exponents 63
Chapter 15. The Dreams of the Crofters and Cotters 67
Chapter 16. Interlude: Rendering Ratiocination 75
1 Hardware and Software 76
2 Software Tips 77
3 Spiral Julia Sets 77
Chapter 17. Latoocarfian Cosmology 79
1 Aristotle and Anaximander 79
2 Fabric of Space 81
Chapter 18. Flavor Enhancers 85
1 Turning Up the Lights 85
2 Image Processing 86
Chapter 19. Inside-Out Universe 89
Chapter 20. Ganymedean Blood and Biology 91
1 Organic and Inorganic Life 91
2 Antifreeze 92
3 Hereditary Molecules 93
PART II
THE DREAM - WEAVERS OF GANYMEDE
Chapter 21. Conflict on Callisto 99
Chapter 22. Arrival 103
Chapter 23. Fractal Spiders Ill
Chapter 24. Kalinda 115
Chapter 25. Prelude to Battle 117
Chapter 26. Battle 119
Chapter 27. Brain Parasites and Polyp Men 123
Chapter 28. Pipe World 129
Chapter 29. The Navanax People 137
Chapter 30. The Underground Association 143
Chapter 31. The Water Beings 151
Chapter 32. The Imagnnarium 157
Chapter 33. The Leapers 169
Chapter 34. The Fractal Palace of Ice 173
Chapter 35. The Glass Girls of Ganymede 183
Chapter 36. Death-Fungi and Zinc Ants 191
Chapter 37. Starfish Soup 195
Chapter 38. Attack of the Attractors 201
Chapter 39. Death and Worm Cages; 203
PART III APPENDICES
Appendix A. Mutations of Equations 209
A. l Digressions 210
Appendix B. Color Plates and Frontispieces 211
B. l Color Illustrations 211
B. 2 Some Figure Parameters and Descriptions 213
Appendix C. Hefitiriacontane Games 215
C. l Fractal Fantasy Game 215
C.2 Fractal Sponge Game and Hyperdimensional Zenza 218
C.3 Fractal Triangle Game 221
C.4 IQ-Block 223
C.5 Heiitriacontane Number Sequence 224
C. 6 Apocalyptic Powers 224
Appendix D. The 100 Strangest Mathematical Titles Ever Published . . 225
D. l The Top Ten 225
D. 2 Runners-Up List 227
Appendix E. Build Your Own Globular Cluster! 233
E. l Digressions 237
Appendix F. Messages for ET 241
Appendix G. Planet Music 245
Appendix H. Meditations on Transcendentals 247
H. 1 Liouville and Deckert Numbers 247
H.2 The 15 Most Famous Transcendental Numbers 248
H. 3 Calculating Pi 250
Appendix I. Lewis Carroll 253
I. 1 Alice in Wonderland 253
2 Lewis Carroll Reading List 254
3 Grinning Cheshire Cat Found 254
Appendix J. For Further Reading 255
J.l Chaos 255
J.2 Image Processing 256
J.3 The Solar System 256
J.4 The Universe 257
J.5 Pickover Books 258
Appendix K. Other Chaotic Attractor Equations 259
Appendix L. Science-Fiction 263
L.l Mathematics in Science-Fiction 263
L.2 Computers in Science-Fiction 265
Appendix M. Unusual Resources and Related 267
M.l Software 267
M.2 Latoocarfian Explorer Program 267
M.3 The Pope Examines the Sky 268
M.4 World on a Canadian Disc 268
M.5 Others 269
M.6 Newsletters and Magazines 269
M.7 Dreams 271
M.8 Fractals in the UK 271
M.9 Astronomy Society Catalog 272
M.10 The Aurora Watcher's Handbook 272
M.ll Lawyers in Space! 272
M.12 Who Were The Celestial Police? 273
Appendix N. Author's Notes 275
Appendix O. Credits and Additional References 289
Glossary 295
Index 299
About the Author 303