Clifford A. Pickover is a Research Staff Member at the IBM Thomas J. Watson Research Centre and is the author of many books, including Strange Brains and Genius and Time: A Traveller's Guide. He lives in Yorktown Heights, New York.

"Pickover alternates expositions of math, physics and geometry with episodes of instructional science fiction while showing interested amateurs the mathematical and physical properties of higher spatial dimensions."--Publishers Weekly"Is there, asks Clifford Pickover, more to our Universe than forwards, sidewards, and up? Before I knew it, I was well and truly infected. After explaining how his book would cover all the usual stuff about higher dimensions--their unimaginability, their weird properties, and how physicists think they may hold the key to understanding the Universe--Pickover sprung his trap: 'I want to know if humankind's gods could exist in the fourth dimension'....I read thebook in two sittings. I'm still under its influence, which is all the more perplexing considering how abstract and unworldly higher dimensions are."--Robert Mathews, New Scientist"Mark my words: within a few months, you too will come across others in the grip of infection by this amazing book."--New Scientist"Extraordinary book."--Daily Telegraph (UK)"In recent years, Pickover has taken up the helm once worn by Isaac Asimov as the most compelling popular explainer of cutting-edge scientific ideas."--"In Pittsburgh""Pickover alternates expositions of math, physics and geometry with episodes of instructional science fiction while showing interested amateurs the mathematical and physical properties of higher spatial dimensions."--Publishers Weekly"Is there, asks Clifford Pickover, more to our Universe than forwards, sidewards, and up? Before I knew it, I was well and truly infected. After explaining how his book would cover all the usual stuff about higher dimensions--their unimaginability, their weird properties, and how physicists think they may hold the key to understanding the Universe--Pickover sprung his trap: 'I want to know if humankind's gods could exist in the fourth dimension'....I read thebook in two sittings. I'm still under its influence, which is all the more perplexing considering how abstract and unworldly higher dimensions are."--Robert Mathews, New Scientist"Mark my words: within a few months, you too will come across others in the grip of infection by this amazing book."--New Scientist"Extraordinary book."--Daily Telegraph (UK)"In recent years, Pickover has taken up the helm once worn by Isaac Asimov as the most compelling popular explainer of cutting-edge scientific ideas."--"In Pittsburgh"

• Preface Introduction 1: Degrees of Freedom 2: The Divinity of Higher Dimensions 3: Satan and Perpendicular Worlds 4: Hyperspheres and Tesseracts 5: Mirror Worlds 6: The Gods of Hyperspace Concluding Remarks Appendix A: Mind-Bending Four Dimensional Puzzles Appendix B: Higher Dimensions in Science Fiction Appendix C: Banchoff Klein Bottle Appendix D: Quaternions Appendix E: Four-Dimensional Mazes Appendix F: Smorgasbord for Computer Junkies Appendix G: Evolution of Four-Dimensional Beings Appendix H: Challenging Questions for Further Thought Appendix I: Hyperspace Titles Notes Further Readings About the Author Addendum Index

Clifford A. Pickover is a Research Staff Member at the IBM Thomas J. Watson Research Centre and is the author of many books, including Strange Brains and Genius and Time: A Traveller's Guide. He lives in Yorktown Heights, New York.

"Pickover alternates expositions of math, physics and geometry with episodes of instructional science fiction while showing interested amateurs the mathematical and physical properties of higher spatial dimensions."--Publishers Weekly"Is there, asks Clifford Pickover, more to our Universe than forwards, sidewards, and up? Before I knew it, I was well and truly infected. After explaining how his book would cover all the usual stuff about higher dimensions--their unimaginability, their weird properties, and how physicists think they may hold the key to understanding the Universe--Pickover sprung his trap: 'I want to know if humankind's gods could exist in the fourth dimension'....I read thebook in two sittings. I'm still under its influence, which is all the more perplexing considering how abstract and unworldly higher dimensions are."--Robert Mathews, New Scientist"Mark my words: within a few months, you too will come across others in the grip of infection by this amazing book."--New Scientist"Extraordinary book."--Daily Telegraph (UK)"In recent years, Pickover has taken up the helm once worn by Isaac Asimov as the most compelling popular explainer of cutting-edge scientific ideas."--"In Pittsburgh""Pickover alternates expositions of math, physics and geometry with episodes of instructional science fiction while showing interested amateurs the mathematical and physical properties of higher spatial dimensions."--Publishers Weekly"Is there, asks Clifford Pickover, more to our Universe than forwards, sidewards, and up? Before I knew it, I was well and truly infected. After explaining how his book would cover all the usual stuff about higher dimensions--their unimaginability, their weird properties, and how physicists think they may hold the key to understanding the Universe--Pickover sprung his trap: 'I want to know if humankind's gods could exist in the fourth dimension'....I read thebook in two sittings. I'm still under its influence, which is all the more perplexing considering how abstract and unworldly higher dimensions are."--Robert Mathews, New Scientist"Mark my words: within a few months, you too will come across others in the grip of infection by this amazing book."--New Scientist"Extraordinary book."--Daily Telegraph (UK)"In recent years, Pickover has taken up the helm once worn by Isaac Asimov as the most compelling popular explainer of cutting-edge scientific ideas."--"In Pittsburgh"

• Preface Introduction 1: Degrees of Freedom 2: The Divinity of Higher Dimensions 3: Satan and Perpendicular Worlds 4: Hyperspheres and Tesseracts 5: Mirror Worlds 6: The Gods of Hyperspace Concluding Remarks Appendix A: Mind-Bending Four Dimensional Puzzles Appendix B: Higher Dimensions in Science Fiction Appendix C: Banchoff Klein Bottle Appendix D: Quaternions Appendix E: Four-Dimensional Mazes Appendix F: Smorgasbord for Computer Junkies Appendix G: Evolution of Four-Dimensional Beings Appendix H: Challenging Questions for Further Thought Appendix I: Hyperspace Titles Notes Further Readings About the Author Addendum Index

Clifford A. Pickover is a Research Staff Member at the IBM Thomas J. Watson Research Centre and is the author of many books, including Strange Brains and Genius and Time: A Traveller's Guide. He lives in Yorktown Heights, New York.

"Pickover alternates expositions of math, physics and geometry with episodes of instructional science fiction while showing interested amateurs the mathematical and physical properties of higher spatial dimensions."--Publishers Weekly"Is there, asks Clifford Pickover, more to our Universe than forwards, sidewards, and up? Before I knew it, I was well and truly infected. After explaining how his book would cover all the usual stuff about higher dimensions--their unimaginability, their weird properties, and how physicists think they may hold the key to understanding the Universe--Pickover sprung his trap: 'I want to know if humankind's gods could exist in the fourth dimension'....I read thebook in two sittings. I'm still under its influence, which is all the more perplexing considering how abstract and unworldly higher dimensions are."--Robert Mathews, New Scientist"Mark my words: within a few months, you too will come across others in the grip of infection by this amazing book."--New Scientist"Extraordinary book."--Daily Telegraph (UK)"In recent years, Pickover has taken up the helm once worn by Isaac Asimov as the most compelling popular explainer of cutting-edge scientific ideas."--"In Pittsburgh""Pickover alternates expositions of math, physics and geometry with episodes of instructional science fiction while showing interested amateurs the mathematical and physical properties of higher spatial dimensions."--Publishers Weekly"Is there, asks Clifford Pickover, more to our Universe than forwards, sidewards, and up? Before I knew it, I was well and truly infected. After explaining how his book would cover all the usual stuff about higher dimensions--their unimaginability, their weird properties, and how physicists think they may hold the key to understanding the Universe--Pickover sprung his trap: 'I want to know if humankind's gods could exist in the fourth dimension'....I read thebook in two sittings. I'm still under its influence, which is all the more perplexing considering how abstract and unworldly higher dimensions are."--Robert Mathews, New Scientist"Mark my words: within a few months, you too will come across others in the grip of infection by this amazing book."--New Scientist"Extraordinary book."--Daily Telegraph (UK)"In recent years, Pickover has taken up the helm once worn by Isaac Asimov as the most compelling popular explainer of cutting-edge scientific ideas."--"In Pittsburgh"

• Preface Introduction 1: Degrees of Freedom 2: The Divinity of Higher Dimensions 3: Satan and Perpendicular Worlds 4: Hyperspheres and Tesseracts 5: Mirror Worlds 6: The Gods of Hyperspace Concluding Remarks Appendix A: Mind-Bending Four Dimensional Puzzles Appendix B: Higher Dimensions in Science Fiction Appendix C: Banchoff Klein Bottle Appendix D: Quaternions Appendix E: Four-Dimensional Mazes Appendix F: Smorgasbord for Computer Junkies Appendix G: Evolution of Four-Dimensional Beings Appendix H: Challenging Questions for Further Thought Appendix I: Hyperspace Titles Notes Further Readings About the Author Addendum Index