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THE GODS OF HYPERSPACE 155 "Let's do it." You turn to Sally. "See you later. We'll continue some of our investigations tomorrow. Perhaps Narcinko could take you to Moe's Pub. What do you think Narcinko? Ever date an FBI agent?" You smile at Sally. She picks up a small marble bust of Abraham Lincoln and throws it at you. Several years have passed since you helped the president return from the fourth dimension to the White House. An Omegamorph living in the L'Enfant Plaza Hotel, room 4D, grew attracted to Sally. However, Sally rebuffed the Omegamorph, explaining that she did not care for interspecies dating and was certainly not an easy pickup. The Omegamorph responded by giving Sally a 4-D rose and the following poem. Reflections on a Tesseract Rose Your mind and heart are of dimensions unbounded and I can give you nothing save what you give to me, your belief in the smallness of the world is unfounded, but your imagination can set you free. To my lovely Sally I give a tesseract rose, grown in a garden you can't yet see, Appearing and disappearing it kisses your nose
156 <strong>surfing</strong> <strong>through</strong> hyperspace sometimes single or naught or three. Let then your imagination wander to the land where I grew this flower and your heart yearn for new places, and you will see me and love me in my many faces, and know wonders your kind calls magical power, and know riddles that even your Sphinx could not ponder. Although touched by the being's show of emotion, Sally declined his romantic advances and eventually married Narcinko. A year later, you discovered that the man in the Santa Glaus outfit was working for the Omegamorphs, helping people lift off into the fourth dimension and providing neural implants so explorers could see more clearly while taking transuniversal journeys. A day ago you received your implants and decided to make a trip. Tanya, a woman who had already made several journeys into the fourth dimension, is by your side, functioning as a tour guide. After several months of intensive training with Tanya, studying ordinary shapes in your own world, you feel you are ready for the ultimate trip. Occasionally Tanya disappears, wreathed in fog. It often seems that you are going in different directions. As you fly, you recall Sally's admonition not to worry about the phantom Santa Glaus. At the time, it seemed there was no real need to find him. But perhaps Sally had, all along, been trying to tell you not to feel guilty about your dreams of flight. She knew it was important always to reach out, break the barriers, leave personal demons behind—to escape from your cages. Tanya seems to lose altitude for a second, but it is probably only your imagination. For a dizzying minute you feel as if you are about to fall. Oh no! Down you plunge. A windy sound fills your ears. Below, you think you see the Washington Monument, ominous, powerful, looming up like a bleached bone. But no. It is only your difficulty of adjusting to the new way of perceiving. Space rushes by. Maybe stars and galaxies. And then there is the flashing of small creatures, many with tiny, symmetrical tiles on their surfaces (Fig. 6.4). The sounds grow quieter, except . . . every now and then you think you hear a faint sigh, barely audible. At first you think it is Tanya, but you hear the sound repeatedly and finally realize it is coming from some-
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surfing through hyperspace
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surfing through hyperspace Understa
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This book is dedicated to Gillian A
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An unspeakable horror seized me. Th
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X contents Appendix E Four-Dimensio
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xii preface I first became excited
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XIV preface problems—from a four-
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XVI preface My soul is an entangled
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XVIII preface I've attempted to mak
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The trouble with integers is that w
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XXII introduction cal and national
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xxiv introduction snaps a few photo
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surfing through hyperspace
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degrees of freedom FBI Headquarters
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DEGREES OF FREEDOM 5 Figure 1.1 A f
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DEGREES OF FREEDOM 7 Figure 1.3 A f
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DEGREES OF FREEDOM -9 1800s. Howeve
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DEGREES OF FREEDOM -11 Although phi
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DEGREES OF FREEDOM 13 angles and lo
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DEGREES OF FREEDOM 15 with other my
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DEGREES OF FREEDOM 17 Figure 1.4b K
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DEGREES OF FREEDOM 19 Figure 1.5 An
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DEGREES OF FREEDOM 21 time-like cha
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the divinity of higher dimensions F
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THE DIVINITY OF HIGHER DIMENSIONS 2
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Figure 2.9 A ball being pushed thro
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satan and perpendicular worlds Wash
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SATAN AND PERPENDICULAR WORLDS 55 a
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SATAN AND PERPENDICULAR WORLDS 57 S
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SATAN AND PERPENDICULAR WORLDS 59 F
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Figure 3.5 A "hyperspace" blood tra
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SATAN AND PERPENDICULAR WORLDS 63 t
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SATAN AND PERPENDICULAR WORLDS 65 "
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SATAN AND PERPENDICULAR WORLDS 67 E
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SATAN AND PERPENDICULAR WORLDS 69 T
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SATAN AND PERPENDICULAR WORLDS 71 S
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Figure 3.13 Chess played on a Mobiu
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SATAN AND PERPENDICULAR WORLDS 79 d
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hyperspheres and tesseracts FBI Hea
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HYPERSPHERES AND TESSERACTS 83 simp
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Figure 4.2 Strange universes, (a) T
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HYPERSPHERES AND TESSERACTS 87 runn
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HYPERSPHERES AND TESSERACTS 89 Poin
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HYPERSPHERES AND TESSERACTS 91 "Sal
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Figure 4.8 The Crucifixion {Corpus
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HYPERSPHERES AND TESSERACTS 95 Figu
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HYPERSPHERES AND TESSERACTS 97 Hint
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HYPERSPHERES AND TESSERACTS 99 Next
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Figure 4.10 Slices of a hypercube a
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Figure 4.13 Embryonic 5-D cube in F
Page 132 and 133: HYPERSPHERES AND TESSERACTS 105 Fig
Page 134 and 135: HYPERSPHERES AND TESSERACTS 107 Fig
Page 136 and 137: HYPERSPHERES AND TESSERACTS 109 4-D
Page 138 and 139: Figure 4.21 Volume of a radius 2 sp
Page 140 and 141: HYPERSPHERES AND TESSERACTS 113 How
Page 142 and 143: HYPERSPHERES AND TESSERACTS 115 ans
Page 144 and 145: HYPERSPHERESANDTESSERACTS 117 Figur
Page 146 and 147: mirror worlds FBI Headquarters, Was
Page 148 and 149: MIRROR WORLDS 121 "I've designed a
Page 150 and 151: MIRROR WORLDS 123 Sally puts her he
Page 152 and 153: MIRROR WORLDS 125 Figure 5.4 A stri
Page 154 and 155: MIRROR WORLDS 127 "Me too." She pla
Page 156 and 157: MIRROR WORLDS 129 Zollner Experimen
Page 158 and 159: MIRROR WORLDS 131 not possible; per
Page 160 and 161: MIRROR WORLDS 133 Rotate Figure 5.6
Page 162 and 163: MIRROR WORLDS 135 To get a better u
Page 164 and 165: MIRROR WORLDS 137 Figure 5.9 Comput
Page 166 and 167: MIRROR WORLDS 139 Figure 5.11 A mor
Page 168 and 169: the gods of hyperspace The White Ho
Page 170 and 171: THE GODS OF HYPERSPACE 143 Sally tu
Page 172 and 173: THE GODS OF HYPERSPACE 145 "What's
Page 174 and 175: THE GODS OF HYPERSPACE 147 Figure 6
Page 176 and 177: Figure 6.2 The cross section of 4-D
Page 178 and 179: THE GODS OF HYPERSPACE 151 Figure 6
Page 180 and 181: THE GODS OF HYPERSPACE 153 You take
Page 184 and 185: Figure 6.4 Cross-sections of higher
Page 186 and 187: THE GODS OF HYPERSPACE 159 The mana
Page 188 and 189: THE GODS OF HYPERSPACE 161 Kindling
Page 190 and 191: concluding remarks This completes o
Page 192 and 193: CONCLUDING REMARKS 165 If intellige
Page 194 and 195: CONCLUDING REMARKS 167 swered. I ho
Page 196 and 197: appendix a mind-bending four-dimens
Page 198 and 199: MIND-BENDING FOUR-DIMENSIONAL PUZZL
Page 200 and 201: Figure A.3 (right). The capture of
Page 202 and 203: appendix b higher dimensions in sci
Page 204 and 205: HIGHER DIMENSIONS IN SCIENCE FICTIO
Page 212 and 213: appendix c banchoff klein bottle It
Page 214 and 215: BANCHOFF KLEIN BOTTLE 187 Figure C.
Page 216 and 217: QUARTERNIONS 189 Figure D.I author.
Page 218 and 219: FOUR-DIMENSIONAL MAZES 191 graph. T
Page 220 and 221: SMORGASBORD FOR COMPUTER JUNKIES 19
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Page 224 and 225: EVOLUTION OF FOUR-DIMENSIONAL BEING
Page 226 and 227: appendix h challenging questions fo
Page 228 and 229: Figure H.2 An artist's renditions o
Page 230 and 231: CHALLENGING QUESTIONS FOR FURTHER T
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CHALLENGING QUESTIONS FOR FURTHER T
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HYPERSPACE TITLES 213 tinctly diffe
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HYPERSPACE TITLES 215 meaningfully
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notes Only God truly exists; all ot
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notes 219 4. Unfortunately, there a
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notes 221 tiny discrete units. To q
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notes 223 less universes could be v
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notes 225 less mass, the universe e
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notes 227 Appendix C 1. For more in
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notes 229 Ben Brown suggests that 4
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further readings 231 Ehrenfest, P (
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about the author Clifford A. Pickov
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addendum As this book goes to press
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index 10-D universe, 15 Abbott, Edw
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Index 239 Slade, Henry, 123, 129 So
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