Surfing through Hyperspace

Contents

• Preface.............................................................xi
• Introduction.......................................................xxi
• 1. Degrees of Freedom...............................................3
• 2. The Divinity of Higher Dimensions...............................23
• 3. Satan and Perpendicular Worlds..................................53
• 4. Hyperspheres and Tesseracts.....................................81
• 5. Mirror Worlds..................................................119
• 6. The Gods of Hyperspace.........................................141
• Concluding Remarks.................................................163
• Appendix A Mind-Bending Four-Dimensional Puzzles..................169
• Appendix B Higher Dimensions in Science Fiction...................175
• Appendix C Banchoff Klein Bottle..................................185
• Appendix D Quaternions............................................188
• Appendix E Four-Dimensional Mazes.................................190
• Appendix F Smorgasbord for Computer Junkies.......................192
• Appendix G Evolution of Four-Dimensional Beings...................196
• Appendix H Challenging Questions for Further Thought..............199
• Appendix I Hyperspace Titles......................................212
• Notes..............................................................217
• Further Readings...................................................230
• About the Author...................................................233
• Addendum...........................................................235
• Index..............................................................237