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Clifford A. Pickover - Surfing Through Hyperspace: Understanding Higher Universes in Six Easy Lessons

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Do a little armchair time-travel, rub elbows with a four-dimensional intelligent life form, or stretch your mind to the furthest corner of an uncharted universe. With this astonishing guidebook, Surfing Through Hyperspace, you need not be a mathematician or an astrophysicist to explore the all-but-unfathomable concepts of hyperspace and higher-dimensional geometry.
No subject in mathematics has intrigued both children and adults as much as the idea of a fourth dimension. Philosophers and parapsychologists have meditated on this mysterious space that no one can point to but may be all around us. Yet this extra dimension has a very real, practical value to mathematicians and physicists who use it every day in their calculations. In the tradition of Flatland, and with an infectious enthusiasm, Clifford Pickover tackles the problems inherent in our 3-D brains trying to visualize a 4-D world, muses on the religious implications of the existence of higher-dimensional consciousness, and urges all curious readers to venture into the unexplored territory lying beyond the prison of the obvious. Pickover alternates sections that explain the science of hyperspace with sections that dramatize mind-expanding concepts through a fictional dialogue between two futuristic FBI agents who dabble in the fourth dimension as a matter of national security. This highly accessible and entertaining approach turns an intimidating subject into a scientific game open to all dreamers.
Surfing Through Hyperspace concludes with a number of puzzles, computer experiments and formulas for further exploration, inviting readers to extend their minds across this inexhaustibly intriguing scientific terrain.

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surfing through hyperspace

Previous Works by Clifford A. Pickover

The Alien IQ Test

Black Holes: A Travelers Guide

Chaos and Fractals: A Computer-Graphical Journey

Chaos in Wonderland: Visual Adventures in a Fractal World

Computers and the Imagination

Computers, Pattern, Chaos, and Beauty

Fractal Horizons: The Future Use of Fractals

Frontiers of Scientific Visualization (with Stu Tewksbury )

Future Health: Computers and Medicine in the 21st Century

The Girl Who Gave Birth to Rabbits

Keys to Infinity

The Loom of God

Mazes for the Mind: Computers and the Unexpected

Mit den Augen des Computers

The Pattern Book: Fractals, Art, and Nature

The Science of Aliens

Spider Legs (with Piers Anthony )

Spiral Symmetry (with Istvan Hargittai )

Strange Brains and Genius

Time: A Travelers Guide

Visions of the Future: Art, Technology, and Computing in the 21st Century

Visualizing Biological Information

surfing through hyperspace

Understanding Higher Universes in Six Easy Lessons

Clifford A. Pickover

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Copyright 1999 by Clifford A. Pickover

First published by Oxford University Press, Inc., 1999

First issued as an Oxford University Press paperback, 2001
198 Madison Avenue, New York, New York 10016

Oxford is a registered trademark of Oxford University Press

All rights reserved. No part of this publication may be reproduced,
stored in a retrieval system, or transmitted, in any form or by any means,
electronic, mechanical, photocopying, recording, or otherwise,
without the prior permission of Oxford University Press.

Library of Congress Cataloging-in-Publication Data
Pickover, Clifford A.
Surfing through hyperspace: understanding higher universes in six
easy lessons / by Clifford A. Pickover
p. cm.
Includes bibliographical references and index.
ISBN 019-5130065 (Cloth)
ISBN 019-5142411 (Pbk.)
Cosmology.
Hyperspace.
Fourth dimension.
SciencePhilosophy.
MathematicsPhilosophy.
I. Title.
QB981.P625 1999
523.1dc21 9848660

3 5 7 9 10 8 6 4 2
Printed in the United States of America
on acid-free paper

acknowledgments and disclaimers - photo 3

acknowledgments and disclaimers Dost thou reckon thyself only a puny form - photo 4

acknowledgments and disclaimers

Dost thou reckon thyself only a puny form When within thee the universe is folded?

Bahaullah quoting Imam Ali, the first Shia Imam

I owe a special debt of gratitude to mathematician Dr. Rudy Rucker for his wonderful books and papers from which I have drawn many facts regarding the fourth dimension. I heartily recommend his book The Fourth Dimension for further information on higher dimensions in science and spirituality. I also thank Dr. Thomas Banchoff, author of Beyond the Third Dimension , for his pioneering work in visualizing the fourth dimension. Among his many talents, Dr. Banchoff is also an expert on the nineteenth-century classic Flatland , which continues to be an excellent introduction to the interrelationship between worlds of different dimensions. The various works of Martin Gardner, listed in the Further Readings section, have also been influential in my formulating an eclectic view of the fourth dimension. I thank Kirk Jensen, my editor at Oxford University Press, for his continued support and encouragement, and Brian Mansfield, Lorraine Miro, Carl Speare, Arlin Anderson, Clay Fried, Gary Adamson, Ben Brown, Sean Henry, Michelle Sullivan, Greg Weiss, and Dan Platt for useful advice and comments. Brian Mansfield prepared many of the illustrations and April Pedersen drew the wonderful small cartoons used in the chapter openings on . Some of the drawings of Earthly animals, such as the seashells and trilobites, come from the Dover Pictorial Archive; one excellent source is Ernst Haeckels Art Forms in Nature .

Many of the science-fiction books listed in Appendix B were suggested by Dr. Sten Odenwald. The twisted bottle in and are courtesy of the National Library of Medicines Visible Human Project. Don Webb is the author of the poem, Reflections on a Tesseract Rose.

The Chinese calligraphy in the Introduction was contributed by Dr. Siu-Leung Lee, who has been practicing the art of calligraphy for more than forty years. Capable of writing in many styles, Dr. Lee has created his own form evolving from those of the Han and Jin dynasties. Roughly translated, his calligraphy is: We surf in higher dimensions. The calligraphy uses lettering that combines archaic structure and fluid movements to symbolize the dynamic nature of the universe.

This book was not prepared, approved, or endorsed by any entity associated with the Federal Bureau of Investigation, nor was it prepared, approved, licensed, or endorsed by any entity involved in creating or producing the

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