Hinton - The Fourth Dimension.pdf

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174 Pink Orange THE FOURTH DIMENSION Pink white, yellow, red, in the fourth dimension, namely, the light blue, the light green, the purple faces—that is, to six faces in all. The four cubes which meet in it are the Light purple Orange Red Brown Purple Orange Pink Purple Purple Red Null White n. n. White Yellow Red Red Light blue Null White n. Blue. bl. Light blue Null White interior Ochre interior Light brown Fig. 103. The tesseract, red, white, yellow axes in space. In the lower line the three rear faces are shown, the interior being removed. ochre cube, the light purple cube, the brown cube, and the light green cube. A complete view of the tesseract in its various space bl. Green Purple n. n. Null White n. n. White Yellow Red 1 2 3 White n. Light blue bl. bl. n. White Red n. n. Yellow Brown Green bl. bl. Light blue Pink Purple Light green Green Orange n. Yellow White Red Light yellow Yellow White Red Light yellow Yellow n. bl. n. Green Yellow Light blue Light purple Yellow bl. Blue. n. bl. bl. n. n. White Light blue White Light green interior Ochre Yellow Green bl. Light yellow Green Yellow Light yellow n. Yellow Yellow
Purple Red THE SIMPLEST FOUR-DIMENSIONAL SOLID 175 Orange Light purple 6 5 4 n. Blue n. wh. Light blue wh. n. Blue Green n. wh. Blue Light blue Blue Yellow Red Yellow Ochre Red Red n. wh. n. Pink Purple L. yellow Pink Orange Red Green Light green L. yellow Pink Yellow Red Yellow Yellow Yellow Light blue x n. Blue Null wh. White n. Blue Null L. yellow interior Brown interior Light brown interior Brown Fig. 104. The tesseract, red, yellow, blue axes in space, the blue axis running to the left, opposite faces are coloured identically. presentations is given in the following figures or catalogue cubes, figs. 103-106. The first cube in each figure
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THE FOURTH DIMENSION
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THE FOURTH DIMENSION BY C. HOWARD H
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PREFACE I HAVE endeavoured to prese
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CONTENTS CHAP. PAGE. I. FOUR-DIMENS
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THE FOURTH DIMENSION ————
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FOUR-DIMENSIONAL SPACE 3 existence
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FOUR-DIMENSIONAL SPACE 5 Bringing i
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THE ANALOGY OF A PLANE WORLD 7 him.
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THE ANALOGY OF A PLANE WORLD 9 to a
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THE ANALOGY OF A PLANE WORLD 11 Aga
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THE ANALOGY OF A PLANE WORLD 13 sec
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CHAPTER III THE SIGNIFICANCE OF A F
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SIGNIFICANCE OF A FOUR-DIMENSIONAL
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CHAPTER IV THE FIRST CHAPTER IN THE
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THE FIRST CHAPTER IN THE HISTORY OF
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CHAPTER V THE SECOND CHAPTER IN THE
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SECOND CHAPTER IN THE HISTORY OF FO
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CHAPTER VI THE HIGHER WORLD IT is i
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THE HIGHER WORLD 63 dimensions. His
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THE HIGHER WORLD 65 If now he turns
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THE HIGHER WORLD 67 to him that, by
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THE HIGHER WORLD 69 simply the plan
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THE HIGHER WORLD 71 turn these rods
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THE HIGHER WORLD 73 revolution, the
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THE HIGHER WORLD 75 the mode of act
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THE EVIDENCES FOR A FOURTH DIMENSIO
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CHAPTER VIII THE USE OF FOUR DIMENS
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5 THE USE OF FOUR DIMENSIONS IN THO
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THE USE OF FOUR DIMENSIONS IN THOUG
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CHAPTER IX APPLICATION TO KANT’S
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APPLICATION TO KANT’S THEORY OF E
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3 APPLICATION TO KANT’S THEORY OF
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Page 133 and 134: A FOUR-DIMENSIONAL FIGURE 123 The r
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Page 167 and 168: CHAPTER XII THE SIMPLEST FOUR-DIMEN
Page 169 and 170: THE SIMPLEST FOUR-DIMENSIONAL SOLID
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Page 187 and 188: Light blue Gren Light purple THE SI
Page 189 and 190: REMARKS ON THE FIGURES 179 ochre cu
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Page 195 and 196: REMARKS ON THE FIGURES 185 yellow l
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Page 213 and 214: CHAPTER XIV * A RECAPITULATION AND
Page 215 and 216: RECAPITULATION AND EXTENSION 205 ou
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Page 223 and 224: RECAPITULATION AND EXTENSION 213 Th
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RECAPITULATION AND EXTENSION 225 th
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RECAPITULATION AND EXTENSION 227 di
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RECAPITULATION AND EXTENSION 229 If
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APPENDIX I THE MODELS IN Chapter XI
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APPENDIX I: THE MODELS 233 in an op
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APPENDIX I: THE MODELS 235 would be
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APPENDIX I: THE MODELS 237 have to
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APPENDIX I: THE MODELS 239 can be u
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APPENDIX I: THE MODELS 241 The four
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APPENDIX I: THE MODELS 243 orange f
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APPENDIX I: THE MODELS 245 we make
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APPENDIX I: THE MODELS 247 sponding
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APPENDIX II: A LANGUAGE OF SPACE 24
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Sil Sit Sin Sil Sit Sin Silan Sitan
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TRANSCRIBER’S NOTE. Do what thou
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