clifford_a-_pickover_surfing_through_hyperspacebookfi-org

More documents

Recommendations

Info

Figure 2.9 A ball being pushed through the surface of water is a metaphor for a sphere moving through Flatland. Figure 2.10 God, angels, and demons inhabiting the fourth dimension, just a slight movement away from our 3-D world in a direction we can barely perceive but in which -we cannot move.
36 surfing through hyperspoce Figure 2.11 Identically shaped sperm from a 4-D being. As the hyperellipsoidal heads intersect our 3-D world, they would first appear as points, then ellipsoids that changed in size, and then points again as they left our space. Depending on their intersection with our world, at times they would resemble spheres. We might only see their heads or tails. "Just kidding, but you get the point. A sphere is a 3-D stack of circles with different radii. A cylinder is a 3-D stack of circles of the same radius. A hypersphere is a 4-D stack of spheres with different radii. A hypercylinder is a 4-D stack of spheres of the same radii." "I can't visualize how to stack objects in a fourth dimension." "Sally, it's very difficult. Some scientists use computer graphics to help visualize 3-D cross sections of rotating 4-D objects." You pause. "Do you recall I told you how easy it would be for a 4-D being to impregnate a woman without being seen?" "That was too weird to contemplate." "Well, contemplate this. What do you think 4-D sperm would look like?" Sally takes a deep breath. "Instead of having ellipsoidal heads, 4-D sperm might have hyperellipsoidal heads. As the heads intersect our 3-D world, they would first appear as points, then ellipsoids that changed in size. Just before it disappeared, a small blob would remain for some time as the tail passed through. A 4-D man could, in principle, inseminate a 3-D woman without her even seeing him" 1 (Fig. 2.11). Outside it is beginning to snow. A few large flakes intersect the plane of your window and disappear. You are quiet as you watch the headlights
Page 2 and 3:
surfing through hyperspace
Page 4 and 5:
surfing through hyperspace Understa
Page 7 and 8:
This book is dedicated to Gillian A
Page 9 and 10:
An unspeakable horror seized me. Th
Page 11 and 12: X contents Appendix E Four-Dimensio
Page 13 and 14: xii preface I first became excited
Page 15 and 16: XIV preface problems—from a four-
Page 17 and 18: XVI preface My soul is an entangled
Page 19 and 20: XVIII preface I've attempted to mak
Page 21 and 22: The trouble with integers is that w
Page 23 and 24: XXII introduction cal and national
Page 25 and 26: xxiv introduction snaps a few photo
Page 28 and 29: surfing through hyperspace
Page 30 and 31: degrees of freedom FBI Headquarters
Page 32 and 33: DEGREES OF FREEDOM 5 Figure 1.1 A f
Page 34 and 35: DEGREES OF FREEDOM 7 Figure 1.3 A f
Page 36 and 37: DEGREES OF FREEDOM -9 1800s. Howeve
Page 38 and 39: DEGREES OF FREEDOM -11 Although phi
Page 40 and 41: DEGREES OF FREEDOM 13 angles and lo
Page 42 and 43: DEGREES OF FREEDOM 15 with other my
Page 44 and 45: DEGREES OF FREEDOM 17 Figure 1.4b K
Page 46 and 47: DEGREES OF FREEDOM 19 Figure 1.5 An
Page 48 and 49: DEGREES OF FREEDOM 21 time-like cha
Page 50 and 51: the divinity of higher dimensions F
Page 52 and 53: THE DIVINITY OF HIGHER DIMENSIONS 2
Page 80 and 81: satan and perpendicular worlds Wash
Page 82 and 83: SATAN AND PERPENDICULAR WORLDS 55 a
Page 84 and 85: SATAN AND PERPENDICULAR WORLDS 57 S
Page 86 and 87: SATAN AND PERPENDICULAR WORLDS 59 F
Page 88 and 89: Figure 3.5 A "hyperspace" blood tra
Page 90 and 91: SATAN AND PERPENDICULAR WORLDS 63 t
Page 92 and 93: SATAN AND PERPENDICULAR WORLDS 65 "
Page 94 and 95: SATAN AND PERPENDICULAR WORLDS 67 E
Page 96 and 97: SATAN AND PERPENDICULAR WORLDS 69 T
Page 98 and 99: SATAN AND PERPENDICULAR WORLDS 71 S
Page 104 and 105: Figure 3.13 Chess played on a Mobiu
Page 106 and 107: SATAN AND PERPENDICULAR WORLDS 79 d
Page 108 and 109: hyperspheres and tesseracts FBI Hea
Page 110 and 111: HYPERSPHERES AND TESSERACTS 83 simp
Page 112 and 113:
Figure 4.2 Strange universes, (a) T
Page 114 and 115:
HYPERSPHERES AND TESSERACTS 87 runn
Page 116 and 117:
HYPERSPHERES AND TESSERACTS 89 Poin
Page 118 and 119:
HYPERSPHERES AND TESSERACTS 91 "Sal
Page 120 and 121:
Figure 4.8 The Crucifixion {Corpus
Page 122 and 123:
HYPERSPHERES AND TESSERACTS 95 Figu
Page 124 and 125:
HYPERSPHERES AND TESSERACTS 97 Hint
Page 126 and 127:
HYPERSPHERES AND TESSERACTS 99 Next
Page 128 and 129:
Figure 4.10 Slices of a hypercube a
Page 130 and 131:
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 182 and 183:
THE GODS OF HYPERSPACE 155 "Let's d
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 206 and 207:
Page 208 and 209:
Page 210 and 211:
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
Page 222 and 223:
SMORGASBORD FOR COMPUTER JUNKIES 19
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
Page 232 and 233:
Page 234 and 235:
Page 236 and 237:
Page 238 and 239:
Page 240 and 241:
HYPERSPACE TITLES 213 tinctly diffe
Page 242 and 243:
HYPERSPACE TITLES 215 meaningfully
Page 244 and 245:
notes Only God truly exists; all ot
Page 246 and 247:
notes 219 4. Unfortunately, there a
Page 248 and 249:
notes 221 tiny discrete units. To q
Page 250 and 251:
notes 223 less universes could be v
Page 252 and 253:
notes 225 less mass, the universe e
Page 254 and 255:
notes 227 Appendix C 1. For more in
Page 256 and 257:
notes 229 Ben Brown suggests that 4
Page 258 and 259:
further readings 231 Ehrenfest, P (
Page 260 and 261:
about the author Clifford A. Pickov
Page 262 and 263:
addendum As this book goes to press
Page 264 and 265:
index 10-D universe, 15 Abbott, Edw
Page 266:
Index 239 Slade, Henry, 123, 129 So
show all

clifford_a-_pickover_surfing_through_hyperspacebookfi-org

Create successful ePaper yourself

Delete template?

Save as template?