Hinton - The Fourth Dimension.pdf

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176 Pink THE FOURTH DIMENSION represents the view of a tesseract coloured as described as it begins to pass transverse to our space. The intermediate figure represents a sectional view when it is partly through, Purple White n. n. n. y. Light yellow y. White n. n. y. n. White Light yellow White Red Blue Ochre 7 8 9 Red Light blue Blue Brown Red Orange Green Pink Orange Light green Green Purple Orange Red Blue Red Light blue Blue Red Null x Yellow Null White Light yellow White n. n. y. y. n. n. interior Light purple interior Light brown interior Light purple and the final figure represents the far end as it is just passing out. These figures will be explained in detail in the next chapter. Blue Green Blue The tesseract, with red, white, blue axes in space. Opposite faces are coloured identically. Fig. 105.
Light blue Gren Light purple THE SIMPLEST FOUR-DIMENSIONAL SOLID 177 White n. r. Pink r. White n. n. n. n. r. x x n. White Red Pink White Null Null Blue Brown Yellow Blue Light yellow Yellow Light blue Blue Purple Gren Orange Purple Orange Purple Blue Yellow Blue 10 11 12 Ochre Light yellow Yellow n. r. n. Yellow Yellow n. White Pink White n. r. r. n. Orange n. interior Light green. interior Light brown interior Light green. Fig. 106. The tesseract with blue, white, yellow axes in space. The blue axis runs downward from the face of the ochre cube as it stood originally. Opposite faces are coloured identically. We have thus obtained a nomenclature for each of the regions of a tesseract; we can speak of any one of the eight bounding cubes, the twenty-four square faces, the thirty-two lines, the sixteen points.
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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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A FOUR-DIMENSIONAL FIGURE 123 The r
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Page 143 and 144: A FOUR-DIMENSIONAL FIGURE 133 note
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Page 147 and 148: NOMENCLATURE AND ANALOGIES 137 to a
Page 149 and 150: NOMENCLATURE AND ANALOGIES 139 null
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Page 159 and 160: NOMENCLATURE AND ANALOGIES 149 dime
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Page 163 and 164: NOMENCLATURE AND ANALOGIES 153 axes
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Page 167 and 168: CHAPTER XII THE SIMPLEST FOUR-DIMEN
Page 169 and 170: THE SIMPLEST FOUR-DIMENSIONAL SOLID
Page 185: Purple Red THE SIMPLEST FOUR-DIMENS
Page 189 and 190: REMARKS ON THE FIGURES 179 ochre cu
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Page 213 and 214: CHAPTER XIV * A RECAPITULATION AND
Page 215 and 216: RECAPITULATION AND EXTENSION 205 ou
Page 217 and 218: RECAPITULATION AND EXTENSION 207 ha
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Page 223 and 224: RECAPITULATION AND EXTENSION 213 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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