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HIGHER DIMENSIONS IN SCIENCE FICTION 179 22. Heinlien, R. (1991) Starman Jones. New York: Ballantine. Spaceships travel through 4-D hyperspace. 23. Heinlein, R. (1987) Citizen of the Galaxy. New York: Ballantine. (Originally published in 1957.) Travel in hyperspace. 24. Heinlein, R. (1958) "—And he built a crooked house," in Fantasia Mathematica, C. Fadiman, ed. New York: Simon and Schuster. (Original story published in 1940.) The misadventures of a California architect who built his house to resemble the projection in 3-D space of a 4-D hypercube. When the hypercube house folds, it looks like an ordinary cube from the outside because it rests in our space on its cubical face—just as a folded paper cube, sitting on a plane, would look to Flatlanders like a square. Eventually the hypercube house falls out of space altogether. 25. Heinlein, R. (1991) Starman Jones. New York: Ballantine. (Originally published in 1953.) The transition into "TV-space" requires careful calculations because at some points in interstellar space, space is folded over on itself in "Horst Anomalies." 26. Laumer, K. (1986) Worlds of the Imperium. New York: TOR. Describes alternate worlds in which one man is confronted by his alternate self. The protagonist is trapped and kidnapped by the inhabitants of a parallel universe. He learns that he must assassinate a version of himself who is an evil dictator in the parallel world. 27. Leiber, F. (1945) Destiny Times Three. New York: Galaxy Novels. Several humans use a "Probability Engine" to split time and create alternate histories, allowing only those best suited for Earth to survive. 28. Lenz, F. (1997) Snowboarding to Nirvana. New York: St. Martin's Press. Frederick Lenz is introduced to "skyboarding" in a higher dimension. He proceeds to skyboard through colored dimensions until he reaches a violet one. "The air in this dimension was textured with some kind of indecipherable hieroglyphic writing. Beings like huge American Indians began flying past us." 29. Lesser, M. (1950) All Heroes Are Hated. In the year 2900 A.D., interstellar travel is commonplace and quick using hyperspace. Unfortunately, twelve billion inhabitants of six worlds are annihilated when a spaceship exits hyperspace with its drive still turned on. 30. Martin, G. R. R. (1978) "FTA," in 100 Great Science Fiction Short Stories. I. Asimov, M. Greenberg, and J. Olander, eds. New York: Doubleday. Hyperspace turns out not to be a shortcut for space travel.
180 appendix b 31. Moorcock, M. (1974) The Blood Red Game. New York: Mayflower Books. (Originally published in Science Fiction Adventures as The Sundered Worlds, 1962.) Humans navigate through hyperspace and the other "alien dimensions." The hero of the story, Renark, encounters odd humanoid beings that tell him that the universe will recoliapse in a year. To save humanity, Renark must find a way for humans to leave our 4-D spacetime (three dimensions of space, one dimension of time). He travels to a solar system whose orbit is at right angles to the rest of spacetime and passes through our universe every few hundred years. Our 4-D (spacetime) universe coexists with an infinite number of other universes. In this multiverse theory, our universe is like a page in a book; each page has its own physical laws and beings. In this strange solar system, Renark meets the Originators, multidimensional beings that developed and maintained the multiverse in order to create a nursery for a life-form to replace them and keep reality from falling apart. 32. Nourse, A. (1963) "Tiger by the Tail," in Fifty Short Science Fiction Tales, Isaac Asimov and Groff Conklin, eds. New York: Macmillan (Story originally published in 1951.) Creatures in the fourth dimension coerce a human shoplifter to send them aluminum through an interdimensional gateway resembling a pocketbook. The shoplifter is apprehended by police who realize the pocketbook's purpose. Lowering a hook into the pocketbook, the police manage to "pull a non-free section of their universe through the purse, putting a terrific strain on their whole geometric pattern. Their whole universe will be twisted." Now humanity has a ransom against invasion. 33. Padgett, L. (1981) "Mimsy Were the Borogroves," in The Great SF Stories 5, I. Asimov and M. Greenberg. New York: DAW. (Story originally published in 1943.) Paradine, a professor of philosophy, cannot understand where children are disappearing to. Earlier, the children find a wire model of a tesseract (4~D cube), with colored beads that slide along the wires in strange ways. It turns out that the model is a toy abacus that had been dropped into our world by a four-space scientist who is building a time machine. This abacus teaches the children how to think four dimensionally, and they finally walk into the fourth dimension and disappear. 34. Phillips. R. (1948) "The Cube Root of Conquest." We coexist along with other universes in space, but are separated in time. 35. Pohl, E (1955) "The Mapmakers." Describes hyperspace as a pocket universe.
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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
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HYPERSPHERES AND TESSERACTS 105 Fig
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HYPERSPHERES AND TESSERACTS 107 Fig
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HYPERSPHERES AND TESSERACTS 109 4-D
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Figure 4.21 Volume of a radius 2 sp
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HYPERSPHERES AND TESSERACTS 113 How
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HYPERSPHERES AND TESSERACTS 115 ans
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HYPERSPHERESANDTESSERACTS 117 Figur
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mirror worlds FBI Headquarters, Was
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MIRROR WORLDS 121 "I've designed a
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MIRROR WORLDS 123 Sally puts her he
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MIRROR WORLDS 125 Figure 5.4 A stri
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MIRROR WORLDS 127 "Me too." She pla
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Page 168 and 169: the gods of hyperspace The White Ho
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Page 176 and 177: Figure 6.2 The cross section of 4-D
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Page 184 and 185: Figure 6.4 Cross-sections of higher
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Page 190 and 191: concluding remarks This completes o
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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
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Page 214 and 215: BANCHOFF KLEIN BOTTLE 187 Figure C.
Page 216 and 217: QUARTERNIONS 189 Figure D.I author.
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Page 224 and 225: EVOLUTION OF FOUR-DIMENSIONAL BEING
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Page 230 and 231: CHALLENGING QUESTIONS FOR FURTHER T
Page 240 and 241: HYPERSPACE TITLES 213 tinctly diffe
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Page 244 and 245: notes Only God truly exists; all ot
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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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