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"In recent years, Pickover has taken up the helm once worn
by Isaac Asimov as the most compelling popular explainer of cuttingedge
scientific ideas."  In Pittsburgh
"Pickover has published nearly a book a year in which he
stretches the limits of computers, art, and thought."  Los Angeles
Times
"Computers and the Imagination inspires a new generation
of da Vincis to build unknown flying machines and create new Mona Lisas."
 Christian Science Monitor
"A shocking, fascinating stroll through an infinite idea
zoo."  Wired
"Pickover is van Leeuwenhoek's 20th century equivalent."
 OMNI
"A dazzling survey of chaos theory embedded in amusing science
fiction."  The Washington Post
"Run, leap, scurry and scoot to your nearest bookstore and
get his books. Every now and then, a book comes along that reminds us what
computers are all about  not spreadsheets and databases, but expansion
of the mind and soul."  BYTE
"Clifford Pickover is many things  scientist, scholar,
author, editor, and visionary..."  GAMES
"Bucky Fuller thought big, Arthur C. Clarke thinks big, but
Cliff Pickover outdoes them both."  WIRED
"Pickover just seems to exist in more dimensions than the
rest of us."  Ian Stewart, Scientific American, author of Nature's
Numbers
"A perpetual idea machine, Clifford Pickover is one of the
most creative, original thinkers in the world today.  Journal of Recreational
Mathematics
"Clifford A. Pickover is the heir apparent to Carl Sagan:
no one else does better popular science writing than Pickover."  Robert
J. Sawyer Nebula Awardwinning sciencefiction writer, author of Calculating
God
The following list does not include newer pickover books.
Click here for a more complete list.
Dreaming the Future: The Fantastic Story of Prediction,
Prometheus Books, 2001.
Amazon.Com
"Maybe it was fated that Pickover, a polymathic researcher
and professional observer of the weird, would eventually write about the
mysteries of divination; his 20some popular books cover subjects as diverse
as aliens, fractals, and the nature of time. In this hefty but fastpaced
work, Pickover's infectious enthusiasm spins unstoppably.... True believers
and skeptics alike cannot fail to be won over by Pickover's disarming affection
for his subjects even at their most ridiculous. The human need for belief
being perhaps the future's only certainty, this book should delight anyone
who suspects truth is stranger than fiction, and everyone who has ever
wished the implausible were true.  Publisher's Weekly
Wonders of Numbers: Adventures in Math, Mind, and Meaning,
Oxford University Press, 2000. Amazon.Com
"Clifford Pickover has written another marvelous book. Through
conversations between whimsical Dr. Googol and his pupil Monica, you can
test your wits on an incredible variety of unusual mathematical puzzles
and games. Along the way there are fascinating historical facts and math
gossip to enjoy. You can't help absorbing a great deal of important math
as you pick your way through Pickover's delightful pick of fresh, littleknown
gems of recreational mathematics."  Martin Gardner
The Girl Who Gave Birth to Rabbits: A True Medical Mystery,
Prometheus, 2000. Amazon.Com
"I'm a big fan of serious books on medical oddities. And
right next to my copies of certified classics will go Cliff Pickover's
The Girl Who Gave Birth to Rabbits. The bizarre tale of Mary Toft
will simultaneously fascinate and horrify. That's an unbeatable combination,
and it gets my three thumbs up!"  Professor Paul J. Nahin, author
of Time Machines,
Cryptorunes: Codes and Secret Writing, Pomegranate,
2000. Amazon.Com
"This book strains, stretches, and then crushes the brain
without the slightest apology from its author. Clifford Pickover, the ultimate
mental trainer, offers the secrets of life as they have been explored in
literature, anthropology, philosophy, religion, history, science, and mysticism
 all in a code that is as beautiful to the eye as it is baffling to the
cortex."  Odyssey
Surfing Through Hyperspace: Understanding Higher Universes
in Six Easy Lessons
Oxford University Press, ISBN 0195130065. Amazon.Com
I know of no subject in mathematics that has intrigued both
children and adults as much as the idea of a fourth dimension  a spatial
direction different from all the directions of our normal threedimensional
space. Philosophers and parapsychologists have meditated upon this dimension
that no one can point to but may be all around us. Theologians have speculated
that the afterlife, heaven, hell, angels, and our souls could reside in
a fourth dimension  that God and Satan could literally be lumps of hypermatter
in a fourdimensional space inches away from our ordinary threedimensional
world.
"I can't imagine anybody whose mind won't be stretched by
this book  but I only hope it isn't responsible for an outbreak of mysterious
disappearances."  ARTHUR C. CLARKE
The Science of Aliens. Basic Books, ISBN. 046507314X
Amazon.Com
"Drawing on an arsenal of recent discoveries about our own
evolution and the life forms present in every crevice of Earth, Pickover
surmises about extraterrestrial creatures. If we are to believe that our
first contact may be through radio signals a la the Search for Extraterrestrial
Intelligence program, then aliens are likely to size us up according to
the heavily transmitted Super Bowl or episodes of Baywatch."  Science
News
TIME, A Traveler's Guide Oxford University Press,
1998. ISBN 0195120426. (On the physics of time travel, with practical
applications.) Amazon.Com
"Only Clifford Pickover would think of mixing time travel
and music. Gripping, clear  this book could well be his best yet! A must
buy for all wannabe time travelers."  Ian Stewart, Scientific American
Strange Brains and Genius: The Secret Lives of Eccentric
Scientists and Madmen Plenum, 1998. ISBN 0306457849. Amazon.Com
"Who else but the maestro of mathematical creativity, Clifford
Pickover, to curate a museum of Strange Brains and write biographies of
the scientific geniuses who formerly owned them? I'll never look at a pidgeon,
a pearl, or a Wheatstone bridge the same way again."  Mark Frauenfelder,
Associate Editor, Wired
Chaos and Fractals: A Computer Graphical Journey. Ten
Year Compilation of Advanced Research. Elsevier: New York. ISBN 0444500022
Amazon.Com
"Fascinating... Pickover argues persuasively for the importance
of fractals and chaos.... Both fractal artists and scientists will find
inspiration in this excellent showcase of the relevance of chaos to the
broader field of science."  Scientific Computing World
THE LOOM OF GOD: Mathematical Tapestries
at the Edge of Time, Plenum, April, 1997. ISBN 0306454114. Hundreds
of illustrations. Amazon.Com
The Loom of God bridges the gulf that has so long divided
mathematics and religion. In a blend of science, science fiction, history,
and dazzling computer imagery, I help the reader understand mystical relationships
between numbers, God, and the mathematical fabric of our universe. From
the mysterious cult of Pythagoras, to the awesome mechanics of Stonehenge,
to the fearsome gargoyles and glorious fractals created on the computer
screens of today, I explain the power of numbers and their connection with
the search for the ultimate meaning and Apocalypse of the universe.
"As far as I know, Clifford Pickover is the first mathematician
to write a book about areas where math and theology overlap. Are there
mathematical proofs of God? Who are the great mathematicians who believed
in a deity? Does numerology lead anywhere when applied to sacred literature?
Pickover covers these and many other offtrail topics with his usual verve,
humor, and clarity. And along the way the reader will learn a great deal
of serious mathematics."  Martin Gardner
"Pickover's lively, provocative travel guide takes readers
into the fascinating realm of mystic math, from perfectly strange numbers
to fractured geometries and other curious nooks and crannies of ancient
worlds and modern times."  Ivars Peterson, Science News, Author of "The
Mathematical Tourist: Snapshots of Modern Mathematics"
"Chockfull of mathematical treats, The Loom of God takes
you on a trip which explores ideas in a totally nonthreatening, enjoyable
format. Entertaining and informative adventure of Pickover's fictional
characters  Theano and Mr. Plex  bring to life such things as: the
golden mean, spirals in hyperspace, the Inca quipus, string theory, the
wild and diverse world of numbers. A must for the Ihatemath person as
well as the mathematical explorer."  Theoni Pappas, author of The Joy
of Mathematics
"Pickover has done it again, with a marvelously entertaining,
historical romp through the unexpected connections between mathematics
and mysticism."  Paul Hoffman, President/EditerinChief, Discover magazine
"Without peer as an idea machine, Cliff Pickover proves
equally adept at writing, The Loom of God is a wellcrafted piece of mathematical
science fiction."  Charles Aschbacher, Book Review Editor, Journal of
Recreational Mathematics
"If you ever doubted that science and religion have commonality,
this is the book for you. In The Loom of God, Cliff Pickover, in his irrepressible
style, frolics through a forest of mathematical curiosities and historical
tidbits, all skillfully woven into a futuristic fantasy, leaving you to
wonder where he learned all that."  Julien C. Sprott, Professor of Physics,
University of WisconsinMadison
Here is the book's Table of Contents:
1 Are Numbers Gods?
2 The End of The World
3 Pentagonal Numbers
4 Doomsday: Friday 13, November, A.D. 2026
5 666,666, Gnomons, and Oblong Numbers
6 St. Augustine Numbers
7 Perfection
8 Turks and Christians
9 The Ars Magna of Ramon Lull
10 Death Stars, a Prelude to August 21, 2126
11 Stonehenge
12 Urantia and 5,342,482,337,666
13 Fractals and God
14 Behold the Fractal Quipu
15 The Eye of God
16 Number Caves
17 Numerical Gargoyles
18 Astronomical Computers in Canchal de Mahoma
19 Kabala
20 Mathematical Proofs of God's Existence
21 Eschaton Now
22 Epilogue
Postscript 1. Goedel's Mathematical Proof of God's Existence
Postscript 2. Mathematicians Who Were Religious
Postscript 3. Author's Musings
Smorgasbord for Computer Junkies
Notes
References
About the Author
THE ALIEN IQ TEST, Basic Books, 1997. ISBN 0465001106.
Amazon.Com
The Alien IQ Test is an irresistibly addictive book
for anyone whose juices flow when presented with baffling puzzles, and
dizzying array of graphic brainteasers, all devised (if you dare to believe)
by aliens who have arrived to assess our intelligence in such farflung
areas of the human mind as abstract reasoning, mathematics, religion, morality,
and humanity's concept of beauty.
"If pop culture (the Hollywood blockbuster Independence
Day, hit TV shows like the XFiles and Third Rock from the Sun) is a prophet
to be trusted, aliens may soon outnumber humans on this planet. Fortunately...
a manual will ease the strain of forced introductions. The strange, symbolic
transmissions we've received from outer space (haven't we?) are collected
by Clifford Pickover in THE ALIEN IQ TEST: ARE WE UP TO THE CHALLENGE?
The problems, puzzles, and questions in this Basic Books title are intended
to assess human intelligence  making this a quiz we simply mustn't fail."
 Publisher's Weekly, January 20, 1997, p. 346
"Clifford Pickover is many things  scientist, scholar,
author, editor, and visionary  and so it may surprise some that he seems
to be embracing the shadowy world of alien visitation and abduction. Yet
the man OMNI magazine recently described as "Van Leeuwenhoek's 20th century
equivalent" has just written a book titled THE ALIEN IQ TEST that is filled,
in his own words, with "strange looking puzzles... from another world 
a world where small gray beings visit us only at night." Perhaps in subtle
jest, perhaps in utter seriousness, Pickover would have us believe that
this illustrated collection of mindbenders came to him in a dream (or was
it a dream?), and is a "universal standard" by which some extraterrestrial
civilization is judging our basic intelligence and capacity for logic.
GAMES is pleased to provide an advance sample (direct from a secret government
installation, under the tightest security) of the puzzles contained therein,
to allow you to test your cosmic awareness."  Games magazine, April, 1997,
pg 48.
Book's Table of Contents:
Preface
Chapter 1. Who This Book is For
Chapter 2. Symbols and Difficulty Levels
Chapter 3. Alien Tiles
Chapter 4. Alien Sperm
Chapter 5. Alien Ellipses
Chapter 6. Alien Repeats
Chapter 7. Alien Matrix
Chapter 8. Internal Organs
Chapter 9. Alien Dissection
Chapter 10. Alien Addition
Chapter 11. Hyperdimensional Sz'kwa
Chapter 12. Alien Spiral
Chapter 13. Survival on Arcturus
Chapter 14. Alien Medallion with Lights
Chapter 15. The Omega Prism
Chapter 16. Alien Worm
Chapter 17. Alien Homoptera
Chapter 18. Star Chart
Chapter 19. Alien Spores 1
Chapter 20. Alien Spores 2
Chapter 21. Alien Spores 3
Chapter 22. Alien Spores 4
Chapter 23. Alien Spores 5
Chapter 24. Rubik's Tesseract
Chapter 25. Animal Eye
Chapter 26. Cosmic Rosetta Stone
Chapter 27. Alien Ants in Hyperspace
Chapter 28. A Severed Human Finger
Chapter 29. The Antikythera Mechanism
Chapter 30. Alien Scrambling
Chapter 31. Alien Aesthetics
Chapter 32. Alien Knowledge and Talent
Chapter 33. The Sagittarius Maneuver
Chapter 34. Siriusian Geometry
Chapter 35. Human Brains in a Jar
Chapter 36. Human Belief Structure
Chapter 37. Contact from the Pleiades
Chapter 38. The Elk Hunter's Abduction
Chapter 39. Loss of Scientific Knowledge
Chapter 40. Aliens and Sprinklers
Chapter 41. Unanswered Questions
Chapter 42. Moral and Emotional Choices of Humans
Chapter 43. Coded Transmission
Solutions
For Further Reading
About the Author
"That he gets his ideas from aliens while sleeping is
the most plausible explanation I've heard of how Cliff Pickover keeps coming
up with these thoughtprovoking questions and engaging riddles."  Julien
C. Sprott, Professor of Physics, University of Wisconsin, Madison
"The most original  and challenging  puzzle book for
years. Clifford Pickover just seems to exist in more dimensions than the
rest of us."  Ian Stewart, Professor of Mathematics, University of Warwick,
and author of Nature's Numbers
"If earthly problems and puzzles have become too mundane
for you  match wits with those in Pickover's new and literally far out
The Alien IQ Test. Another ingenious twist by a master of puzzles and brainteasers."
 Theoni Pappas, author of The Joy of Mathematics and The Mathematics Calendar
FRACTAL HORIZONS: The Future Use of Fractals.St. Martin's
Press, 1996. ISBN: 0312125992. Amazon.Com
Fractal horizons is a practical guide to exploring
the inexhaustible reservoir of magnificent shapes, images, and ideas associated
with fractals. From art poster designs to educational tools, computergenerated
fractals patterns' usage is booming. Fractal Horizons gives an account
of the state of the art and speculates on advances in the future. Contributors
explore the challenges of using fractals in education, art, music, fashion,
chess, medicine, and more. Filled with beautiful images, an intriguing
array of artistic and scientific topics, and computer/mathematical recipes,
the book will appeal to anyone fascinated by unusual ideas and optically
provocative art. Six broad sections: Fractals in Education, Fractals in
Art, Fractal Models and Metaphors, Fractals in Music and Sound, Fractals
in Medicine, and Fractals and Mathematics. Topics include: challenges of
using fractals in the classroom, new ways of generating art and music,
the use of fractals in clothing fashions of the future, fractal holograms,
fractals in medicine, fractals in boardrooms of the future, fractals in
chess.
Book Table of Contents:
Preface
PART I. FRACTALS IN EDUCATION
Chapter 1. Conquering the Math Bogeyman  William Beaumont
Chapter 2. The Fractal Curriculum  David Fowler
Chapter 3. Fractals and Education: Helping Arts Students
to See Science  Michael Frame
PART II. FRACTALS IN ART
Chapter 4. The Computer Artist and Art Critic  J. Clint
Sprott
Chapter 5. The Future of Fractals in Fashion  Danielle
Gaines
Chapter 6. Knight Life  Ronald Brown
PART III. FRACTAL MODELS AND METAPHORS
Chapter 7. One Metaphor Fits All: A Fractal Voyage with
Conway's Audioactive Decay  Mario Hilgemeier
Chapter 8. Sponges, Cities, Anthills, and Economies 
Tim Greer
Chapter 9. Fractal Holograms  Douglas Winsand
Chapter 10. Boardrooms of the Future: The Fractal Nature
of Organizations  Glenda Eoyang and Kevin Dooley
PART IV. FRACTALS IN MUSIC AND SOUND
Chapter 11. Fractal Music  Manfred Schroeder
Chapter 12. Using Strange Attractors to Model Sound 
Jonathan Mackenzie
PART V. FRACTALS IN MEDICINE
Chapter 13. Pathology in Geometry and Geometry in Pathology
 Gabriel Landini
Chapter 14. Fractal Statistics: Toward a Theory of Medicine
 Bruce West
Part VI. FRACTALS AND MATHEMATICS
Chapter 15. Fractals and the Grand Internet Parallel
Processing Project  Jay R. Hill
Chapter 16. SelfSimilarity in QuasiSymmetrical Structures
 Arthur Loeb
Chapter 17. Fat Fractals in Lyapunov Space  Mario Markus
and Javier Tamames
Glossary
BLACK HOLES, A TRAVELER'S GUIDE, John Wiley, 1996.
ISBN: 0471125806 Amazon.Com
What if you could actually travel to the very edge
of a black hole? What would it look like? How close could you get before
you were "sucked in"? If you were, could you ever get back out? In Black
Holes, A Traveler's Guide, you take off on a mindboggling journey to the
ultimate frontier of factbased scientific speculation. The book's premise
finds you the captain of a spaceship who, along with your first mate, probes
the mysteries of the most interesting and elusive objects in the universe.
The book has an appendix with computer recipes in C and
BASIC so you can become your own Black Hole explorer.
Table of Contents:
Preface
Chapter 1. How to Calculate a Black Hole's Mass
Chapter 2. The Black Hole's Event Horizon Circumference
Chapter 3. Black Hole Tidal Forces
Chapter 4. A Black Hole's Gravitational Lens
Chapter 5. A Black Hole's Gravitational Blueshift
Chapter 6. Gravitational Time Dilation
Chapter 7. Anatomical Dissection of Black Holes
Chapter 8. Embedding Diagrams for Warped Spacetime
Chapter 9. Gravitational Wave Recoil
Chapter 10. Optical Appearance of a Collapsing Star
Chapter 11. Gravitational Distension Near a Black Hole's
Heart
Chapter 12. Quantum Foam
Chapter 13. Black Hole Recreations
Chapter 14. Mathematical Black Holes
Chapter 15. Black Holes Evaporate
Chapter 16. Wormholes, Cosmological Doughnuts, and Parallel
Universes
Postscript 1. Could We be Living in a Black Hole?
Postscript 2. The Grand Internet Black Hole Survey
Author's Musings
Smorgasbord for Computer Junkies
"Clifford Pickover, an extraordinarily prolific and polymathic
research scientist at the IBM T. J. Watson Research Center, has consistently
been one of the most creative writers about computer graphics, scientific
visualization, and mathematical models of natural and physical systems.
This latest offering is classic Pickover in its wealth of information,
ideas, bold speculations and and propositions  including proposed "handson"
experiments with black holes  which just may turn out to be plausible.
Recommended."
 The Editors of Amazon.Com
"Although the Hubble Space Telescope has recently confirmed
the existence of black holes, very little is known about them  keeping
speculation about time travel, wormholes, and the like alive. Pickover
provides an amusing tour of the known and unknown regions of black holes
by exploring their composition and the possibilities of parallel universes.
Indicative of his background in computer science, this is almost an interactive
read as Pickover provides a wealth of experiments and computer applications
that further the understanding of event horizons, tidal forces, warps,
etc."
 Science News, May 25, 1996 149(21): 322.
"Pickover explores the mathematics of the commotion that
a black hole creates, from spacewarps to gravitational waves. Simple equations
illustrate everything from the mass of a black hole to the curvature of
space nearby. Pickover definitely succeeds in giving a feel for the gigantic
forces at work. His traveller's guide has interactive, puzzle book appeal.
Anyone remotely interested in numbers will find it hard to resist testing
the equations out... No other book has a storyline as bonkers as this one.
It's a winner."
 "Space, sex, and sums", by Hazel Muir, New Scientist,
May 25, 1996
"Bucky Fuller thought big, Arthur C. Clarke thinks big, but
Cliff Pickover outdoes them both. In BLACK HOLES  A TRAVELER'S GUIDE (John
Wiley, 1996), he proposes to ring a halo around a black hole to show what
it would look like..."
 P. Patton, "Curved Light", WIRED magazine, June 1996,
4.06 page 130131.
"Dr. Pickover, with his usual enthusiasm, wit, and knowledge,
accompanied by his familiar superb computer graphics, has turned his attention
toward black holes and their bizarre properties. Many books have been written
about black holes, but none that surpass this one in arousing emotions
of awe and wonder toward the mysterious structure of our universe."
 Martin Gardner
"As one of the thousands who contracted incurable fractaphilia
by exposure to the Mandelbrot set, I've much enjoyed Cliff Pickover's earlier
books on this infectious disease. Now he has ventured into an even more
dangerous territory  the exploration of Black Holes. All before they
set out. However, like Cliff's earlier books, this should carry the warning:
'Reading may be dangerous to your wealth.' It may create an overwhelming
impulse to buy a more powerful computer."
 Arthur C. Clarke
"For years writers, artists, and scientists have complained
about the division between the sciences and the arts. Some have tried to
build bridges across the line, but Clifford Pickover is one of the *very*
few who successfully erases the line itself. In *Black Holes: A Traveler's
Guide*, Pickover provides a wonderfully illustrated explanation of some
of the strangest objects in the universe. While aimed at the beginning
black hole explorer, there are marvelous discoveries waiting here for both
the novice and the expert."
 Marc Hairston, Hanson Center for Space Sciences
"A fascinating computerassisted 'science faction' [sic]
tour of the physics and mathematics of black holes, presented in Clifford
Pickover's inimitable offbeat and always readable style. Isaac Asimov,
in devil's advocate mode, once asked whether these 'invisible nothings'
are worthy of serious consideration. They are!"
 Ian Stewart, Author of "Does God Play Dice?"
"Solid science illuminated by vivid images and amusing dialogs,
Cliff Pickover's latest computeraided adventure takes readers on an entertaining,
edifying trek to the brink of a black hole."
 Ivars Peterson, Math/Physics Editor, Science News Author
of Newton's Clock: Chaos in the Solar System
KEYS TO INFINITY, John Wiley, (October, 1995) ISBN
0471118575, $24.95. Order from your local bookstore. Japanese translation
by Morikita Shuppan. Chinese translation by Triumph Publishing, Republic
of China. Amazon.Com
What can we know about numbers too large to compute
and even imagine? Do the tiny bubbles in the froth of a milkshake actually
form an infinite fractal pattern? What are apocalyptic numbers and recursive
worlds? These and dozens of equally beguiling mathematical mysteries, problems
and paradoxes fill this mindbending book.
Here is the book's Table of Contents
Chapter 1. Too Many Threes
Chapter 2. Ladders to Heaven
Chapter 3. Infinity Machines
Chapter 4. Infinity World
Chapter 5. Grid of the Gods
Chapter 6. To the Valley of the Sea Horses
Chapter 7. The MillionDollar, TrillionDigit Pi Sequencing
Initiative
Chapter 8. Infinite Chess
Chapter 9. The Loom of Creation
Chapter 10. Slides in Hell
Chapter 11. Alien Abduction Algebra
Chapter 12. The Leviathan Number
Chapter 13. Welcome to Worm World
Chapter 14. Fractal Milkshakes and Infinite Archery
Chapter 15. Creating Life Using The Cancer Game
Chapter 16. No Zeros Allowed
Chapter 17. Infinite Star Chambers
Chapter 18. Infinitely Exploding Circles
Chapter 19. The Infinity Worms of Callisto
Chapter 20. The Undulation of the Monks
Chapter 21. The Fractal Golden Curlicue is Cool
Chapter 22. The Loneliness of the Factorions
Chapter 23. Escape from Fractalia
Chapter 24. Are Infinite CarotidKundalini Functions
Fractal?
Chapter 25. The Crying of Fractal Batrachion 1,489
Chapter 26. Ramanujan, Infinity, and The Majesty of the
Quattuordecillion
Chapter 27. Recursive Worlds
Chapter 28. Chaos in Ontario
Chapter 29. Cyclotron Puzzles
Chapter 30. Vampire Numbers
Chapter 31. Computers, Randomness, Mind, and Infinity
Appendix  Longer Computer Programs
Color Plates
"...An enchanting journey, revealing the beauty of patterns
and numbers for artists and scientists alike. This is mathematical tourism
at its very best, a fine reminder that our universe is infinitely stranger
than we could ever, ever imagine. For Pickover, PCs are the sketch pads
and laboratories of our age, microscopes and spaceships for professionals
and amateurs alike to explore the infinitely large and infinitely small.
His universe is populated by strange frogs, wriggling worms with weird
allergies, and infinite chessboards. This is a wonderland which recalls
Borges and Carroll, or Martin Gardner and Douglas Hofstadter's sublime
columns in Scientific American. There are mindblowing moments when infinity
becomes a slippery monster with countless guises. An inventive book..."
 The Irish Times, 1996
"Inventive, quirky, fun! Pickover presents an engaging, inspiring
romp in the realm of number and mathematical thought."
 Ivars Peterson, author of The Mathematical Tourist,
Math/physics editor, Science News
"Keys to Infinity contains a near infinity of absorbing themes:
from step ladders to the moon and spiral earths, to worm worlds, random
chords, and selfsimilar curlicues. Fascinating!"  Manfred Schroeder,
University of Goettingen, and AT&T Bell Labs, Author of Fractals, Chaos,
Power Laws
"What could be more appropriate to the subject of infinity
than a book like this one, so dense with wonderful puzzles, anecdotes,
images, and computer programs that you could pore over it forever? In Key
to Infinity, Pickover has once again assembled a mathematical feast."
 Carl Zimmer, Discover Magazine
"Join Pickover on his wonderful merrygoround of ideas,
and reach for the infinite. Keys to Infinity is an engaging book presenting
a diverse spectrum of concepts relating to infinity. Climb the Ladders
to Heaven, play Infinite Chess, be perplexed by Cyclotron Puzzles. A must
for those wishing to explore the infinite in all its manifestations.
 Theoni Pappas, author of The Joy of Mathematics
"Cliff Pickover has produced yet another book of mathematical
puzzles, weird facts, computer art, and simple programs to challenge our
minds and enthrall us with the beauty of the infinite mathematical world
in which we live."
 Dr. Julien C. Sprott, author of Strange Attractors:
Creating Patterns in Chaos
"In this the latest of Dr. Pickover's marvelous books, he
breaks all finite chains to soar into the transcendental, mindboggling
regions of mathematical infinity."  Martin Gardner
"Keys to Infinity is an original and exciting exploration
of how utterly weird, and utterly beautiful, the infinite can be."
 Ian Stewart
Japanese translation by Morikita Shuppan. Chinese translation
by Triumph Publishing, Republic of China.
CHAOS IN WONDERLAND: Visual Adventures in a Fractal World
ISBN 0312107439. (1994) Amazon.Com
Chaos in Wonderland presents a creative blend of science
fiction, mathematics, astronomy, and computer graphics to introduce you
to chaos science  the science behind many intricate and unpredictable
patterns in mathematics and nature. To make your journey more interesting,
the storyline describes the biology, sociology, and technology of creatures
living on the moon of Jupiter. Their heads are composed of semiconductor
materials that enable them to spend their days in contemplation of beautiful
mathematical patterns created by chaos. Status in their society is determined
by the beauty of their fractal dreams.
"Stir together a mixture of fractals, chaos, computer graphics,
and science fiction. What do you get? You get a dazzling introduction to
chaos science by Clifford Pickover, the indefatigable computer scientist.
Dr. Pickover alleges that his gorgeous swirling art, generated by the strange
attractors of two simple formulas are the dreams of limbless, brainy creatures
living below the icy surface of Ganymede, Jupiter's largest moon."  Martin
Gardner
"Pickover's work is a courageous experiment in imaginative
mathematical exposition... It has the potential to attract a new audience
into mathematics... considerable enlightenment."  New Scientist
"A dazzling survey of chaos theory embedded in a marvelous
mix of fractals, computer graphics and amusing science fiction."  Washington
Post
"Take an amount of mathematics, science fiction, and computer
graphics  add chemistry and classical literature, a little at a time,
stirring well after each addition until the mixture reaches a well defined
consistency, and yet another beautiful Pickover book is ready to be served.
This book can be enjoyed at several levels... The surprises it contains
and the ease of communication give us assurance that there may be many
more Pickover books to come, and we can hardly wait for them."  Leonardo
"A fascinating project, a worthy addition to _Flatland_ and
_The Planiverse_!"  Arthur C. Clarke
"Pickover weaves a fascinating and entertaining tale of fact
and fiction in _Chaos in Wonderland_. While learning of the intricacies
of the world of the Latoocarfians, we are skillfully introduced to the
mathematics of chaos. His mixture of fantasy and mathematics creates an
eeriness of reality that is both informative and thought provoking." 
Theoni Pappas, author of _The Joy of Mathematics_
"A leading expert in computer visualization, Pickover now
enthralls us with his art, mathematical games, and science fiction. This
latter day Lewis Carroll introduces us to alien creatures with computer
brains and mathematical souls. Their social status is based on the beauty
of geometrical patterns communicated to one another with infrared beams.
You will be delighted at the mathematical wonderland Pickover provides
using media more suited to us humans."  Prof. J. C. Sprott, author of
_Strange Attractors_
"To sum it up: it's all fun with fractals."  Los Angles
Times
"Pickover skillfully introduces some of the important concepts
of chaos theory (attractor, fractal, Lyapunov exponent).... All is intriguing....
Ingenious... Extraordinary."  Choice Magazine, 1995
"Clifford Pickover does a wonderful job of presenting the
very complicated topic of fractals. The images are gorgeous."  American
Scientist
"Pickover has published nearly a book a year in which he
stretches the limits of computers, art, and thought."  Los Angeles Times,
1995
"Pickover's book does for the theory of chaos and fractals
what Abbott's Flatland did for higherdimensional geometry."  Mathematical
Reviews, 1995
"A courageous experiment in imaginative mathematical exposition.
Intriguing. Radical."  New Scientist, 1995
MAZES FOR THE MIND: Computers and the Unexpected,
Hardcover, color. 470 illustrations. $32.95 (1992). ISBN 0312081650.
Paperback ISBN 0312103530, $19.95. Amazon.Com
Mazes for the Mind takes you on a rollercoaster ride
through the unpredictable and exciting universe of computers, games, puzzles,
mazes and computer art. In chapters such as "My Computer Esophagus," "The
CroMagnon Conquest Game," "Feminism and Fractals," and "Lava Lamps in
the 21st Century," I cover topics dealing with strange music, the fourth
dimension, time travel, strange technologies, and weird numbers.
"There seems to be no end to the mathematical and mental
riches Clifford Pickover keeps giving us. In this, his latest book, the
central theme is exploration, with emphasis on the computer as a recreational
tool. The book is a feast of puzzles, science fiction, weird numbers, curious
sequences, strange mazes and games, hyperdimensional structures, fractals,
chaos, unorthodox chess and music, computer lava lamps, pi curios, games,
and a thousand other points of mathematical light  all interlaced with
dazzling illustrations."
 Martin Gardner, Scientific American
"A delightful trip along the fractal frontier between art
and mathematics. Once again, it raises the old problem: does mathematics
really exist, or do we make it all up? If so, there are some pretty weird
minds out there  and good luck to them!"
 Arthur C. Clarke
"Buckle your mental seatbelts, and keep your eyes open: it's
a whole new ride on Pickover's visual express."  A. K. Dewdney, Scientific
American
"Join this marvelous computer safari  experience the kingdom
of the slugs and fractal ants, learn of extraterrestrial messages in our
genes and of music machines, discover fascinating new computer worlds in
art, music, mathematics, and science."  Theoni Pappas, author of The Joy
of Mathematics
"Clifford Pickover is the best new math writer in years.
His work corsucates with wit and energy. Buy this book and feed your head!"

 Rudy Rucker, author of The Fourth Dimension and Infinity
and The Mind
"Pickover's dazzling array of tortuous mindbenders and
arcane minutiae delights and surprises. It's easy to get trapped in his
enticing labyrinth of seductive mental games."
 Ivars Peterson, Science News, author of The Mathematical
Tourist
"Want to exapand or possibly explode your mind?"  Leonardo
"Run, leap, rush, scurry and scoot to your nearest bookstore
and get this book. Every now and then, a book comes along that reminds
us what computers are all about  not spreadsheets and databases, but
expansion of the mind and soul."  BYTE
Sample chapter titles: "Fractals and Feminism", "My Computer
Esophagus", "The CroMagnon Conquest Game", "Electronic Ant Farms", "Fantastic
Feather Fractals", "Music beyond Imagination", "Strange Technology", "Weird
Numbers", "Fractal Spiders", "Computers and NearDeath Experiences", etc.
SPIDER LEGS (Blockbuster sciencefiction novel with
Piers Anthony) TOR, 1998. ISBN 031286465.
"The ultimate crustacean encounter. Strange things are
born in the ocean's depths."
"Pickover has collaborated on a novel with the prolific
Piers Anthony, and the combination of Pickover's theory and Anthony's fantasy
should yield an intellectual tour de force without precedent."  West
Coast Review of Books "...Provocative scientific speculation and detail." 
Publisher's
Weekly.
"Return with us now to the SciFi days of yesteryear;
with monsters from the deep, vacationing professors from prestigious institutions,
damsels in distress, and science gone mad in an orgy of bloodshed terrorizing
a Newfoundland fishing village! ...You'll definitely get a kick out of
this."  SFRevu "Shades of Peter Benchley! Spectacular..."  BookPage
Fiction ReviewAmazon.Com
COMPUTERS AND THE IMAGINATION (Subtitled: Visual Adventures
from Beyond the Edge) St. Martin's Press, 400 illus., color. 1991.
ISBN 0312061315. Softcover, $19.95. Also published in Germany as Mit
den Augen des Computers. ISBN 3877913237. 1992. Markt&Technik:
HansPinsel Strasse 2, D8013 Haar bei Munchen, Germany. Published in the
UK by Alan Sutton Pub. Amazon.Com
In this book, I examine the manifold ways in which
computers transform how we both perceive and understand the world around
us. Computers and the Imagination includes a range of topics from artificial
spider webs, to paininducing patterns, to comptuer generated poetry.
Along the way, I use the computer to gain new insights into the very origins
of human creativity. The book includes: computer graphics, strange problems,
and startling applications of computer science to art, music, poetry, science,
and technology.
"Vast regions of mathematical structure and pattern, the
very existence of which had been unsuspected, are rapidly opening to exploration
by computers. No book in recent decades conveys more forcefully and beautifully
the excitement of this exploration than Dr. Pickover's latest work. It
is a treasure trove of breathtaking computer graphics, strange problems,
and startling applications of computer science to art, music, poetry, science,
technology, and the mystery of creativity. At times technical, at times
popular, it is a book that no scientist or artist, whether amateur or professional,
should pass up."  Martin Gardner, Scientific American.
"A dramatic celebration of the creative collision of mind
and machine."  Ian Stewart, editor, Mathematics Review
"Pickover sweeps the reader along on an exhilarating, wideranging
rummage through a mathematical curiosity shop filled with novel ideas and
vivid graphic images."  Ivars Peterson, Science News
"Computers and the Imagination transcends the computer community,
long endeared to Dr. Pickover's eclectic style and wonderful graphics,
and should inspire those in virtually all areas of art and science to explore
using computers as an aid to creative thinking." Phil LoPiccolo, Editor,
Computer Graphics World
"An incredible synergy of elements from widely diverse realms.
It is sure to fire up your imagination."  Peter Sorensen, Computer Graphics
World
"The remarkable illustrations are so numerous and fantastic
that the book seems to transcend the limits of print media. Pickover's
book is a new and exciting synthesis of art, science, literature, speculation,
and history."  Chris Severud, President, Bourbaki Software
"A mindboggling gateway to a sparkling new universe of Pickoverian
research, recreations, creations, and dreams."  A. K. Dewdney, Scientific
American
"In chapter after chapter you are enticed, drawn, compelled
to experiment, handson, with its fascinating images and ideas. Pickover's
book has the power to turn its readers from tourists into discovers." Dawn
Friedman, Harvard University
"Pickover uses the computer to travel to the beautiful and
secret places deep within the mind's eye."  Jay Kappraff, author of Connections
"Computers and the Imagination inspires a new generation
of da Vincis to build unknown flying machines and create new Mona Lisas."
 Christian Science Monitor
Also published in Germany as Mit den Augen des Computers.
Published in the UK by Alan Sutton Pub.
COMPUTERS, PATTERN, CHAOS, AND BEAUTY (Subtitled: Graphics
from an Unseen World) St. Martin's Press: NY. 1990. Softcover, $19.95.
ISBN 031206179X. Hardcover, $29.95. ISBN 0312041233. Selected as
"one of the best science books of 1990" by Library Journal. The
book may be outofprint in the U.S. soon, but Alan Sutton Publishing in
the UK still distributes it. Address: Alan Sutton Pub., Phoenix Mill, Far
Thrupp, Stroud, Gloucestershire, UK GL5 2BU. Tel (01453) 731114, FAX (01453)
731117. Japanese publisher: HakuyoSha, 3 NibanCho, Chiyodoku, Tokyo
102, Japan. Amazon.Com
Loaded with stunning computergenerated images, I attempt
to reveal an entirely new way of seeing. Topics include: computers and
creativity; lateral thinking; hidden patterns in nature, music, genetics
and sounds; musical snowflakes, fractal speech, the Shroud of Turin, genesis
fractals, biomorphs, chaos, synthesizing nature, cellular automata, ornamental
patterns, symmetry, mathematics and beauty, and much more.
"Chaos and fractals are revolutionary topics these days
as they find increasing applications in science, pure mathematics, and
computer graphics. Dr. Clifford Pickover, long at the center of this cyclone,
has produced a truly stunning survey of its manifold consequences. No informed
layperson, artist, scientist, or mathematician should pass up the experience
of stepping through the portals of this beautiful book into the fantastic
new worlds that computers are now exploring in the way a telescope or microscope
explores the awesome wonders of nature."  Martin Gardner, Scientific American
"Pickover takes the reader on a stimulating odyssey through
the world of computer graphics, a world that surprisingly involves the
Shroud of Turin, snowflakes, and the genes that cause cancer."  Paul Hoffman,
EditorInChief, Discover Magazine
"A spectacular encounter between the art of the mathematician
and the mathematics of art."  Ian Stewart, European editor of The Mathematical
Intelligencer
"Fascinating and completely new..." Isaac Asimov
"A cornucopia of visual ideas, Pickover's book unveils one
eyecatching vista after another at the frontiers of scientific and mathematical
visualization."  Ivars Peterson Science News
"It is unfortunate that modern Western man has come to perceive
the arts and the sciences as separate, conflicting lines of human endeavor.
Pickover's book reunites these disciplines with a marriage of substantive
technical content and expertly crafted prose." Ben Bacon, Computers in
Physics
This book can be orderd from The Great Media Company.
SPIRAL SYMMETRY I. Hargittai and C. Pickover. (1992)
World Scientific Publishing, Suite 1B, 1060 Main St, River Edge, New Jersey
07661. FAX: 201 4879656, Tel: 201 4879655 Toll free: 800 2277562. Hardcover,
$48.00. ISBN 9810206151. Amazon.Com
From the tiny twisted DNA molecules in all living cells
to gargantuan curling arms of many galaxies, the physical world contains
a startling repetition of spiral patterns. This book presents aesthetically
appealing and scientifically interesting patterns from a range of scientific,
historical, and artistic realms. Topics include: spirals in nature, mythology,
mathematics, art, history, literature, biology, physics, chemistry, botany,
crystallography, astronomy, and fractal geometry.
"This diverse collection of essays encompasses aesthetic,
graphic, literary, scientific, mathematical, and computerrelated exploration
of the spiralubiquitous in nature and in civilization, and profound in
both its physical manifestations and philosophical dimensions."
 Book News
TABLE OF CONTENTS:
"The Form, Function, and Synthesis of Seashells", Mike
Cortie, Raad vir Mineraal Tegnologie, South Africa.
"Spiral Galaxies", Bruce Elmegreen, IBM T. J. Watson Research
Center, USA.
"Does the Golden Spiral Exist?", Arthur Loeb, Harvard
University, USA.
"On the Origins of Spiral Symmetry in Botany", Roger Jean,
University of Quebec, Canada.
"Sunflower Quasicrystallography", L. Bursill, University
of Melborune, Australia.
"Broken Symmetry and the Formation of Spiral Patterns
in Fluids", Ian Stewart, University of Warwick, UK.
"Spiral Helmet", Eleanor Kent (hightech artist), USA
"Spinning Descartes into Blake: Spirals, Vortices, and
the Dynamics of Deviation", Kevin Cope, Louisiana State University, USA
"Dynamic Spirals", Arun Hoden, The University, Leeds,
UK.
"Spiral Map Projections", Agnes Denes (artist), USA.
"Spirals in Nature and Myth", Jay Kapraff, N.J. Institute
of Technology
"Pythagorean Spirals", E. J. Eckert
"SpiralBased SelfSimilar Sets", K. Wicks
"Symmetry and Spirals in Art", R. Newman
"Spiral Structures in Julia Sets and Related Sets", M.
Michelitsch and O. E. Roessler
The Evolution of a Threearmed Spiral in the Julia Set,
and Higher Order Spirals", A. G. Davis Philip
"Autonomous Organization of a Chaotic Medium into Spirals:
Simulations and Experiments", M. Markus
"Oscillations, Waves, and Spirals in Chemical Systems",
E. Koros
Determination of Spiral Symmetery in Plants and Polymers",
D. Friedman
Electromagnetic Theory for Chirla Media", A. Lakhtakia
"Green Spirals", R. Dixon
THE PATTERN BOOK: FRACTALS, ART, AND NATURE C. Pickover.
(Summer 1995) World Scientific. ISBN 981021426X Amazon.Com
This book will allow you to travel through time and
space. To facilitate your journey, I've scoured the four corners of the
earth in a quest for unusual people and their fascinating patterns. From
Mozambique, to Asia, to many European countries, the contributors to The
Pattern Book include worldfamous cancer researchers, little known artists,
and eclectic computer programmers. Some of the patterns are ultramodern,
while others are centuries old. Many of the patterns are drawn from the
universe of mathematics. Computer recipes are scattered throughout.
"Fractals can be found everywhere, and Clifford Pickover
has done a good job in selecting some of the best... One more in the collection
of works devoted to fractals, this book ranks among the easiest to understand.
A natural first for those interested in fractals as objects of mathematical
study
or art."  Charles Ashbacher, Journal of Recreational Mathematics
"An interesting introduction to the world of patterns. In
three parts: representing nature; mathematics and symmetry; human art.
More than 150 patterns from science, art and mathematics, many with computation
hints and recipes for their creation. Includes glossary of technical terms."
 American Mathematical Monthly, June 1996
From the book jacket: This book will allow you to travel
through time and space. To facilitate your journey, I've scoured the four
corners of the earth in a quest for unusual people and their fascinating
patterns. From Mozambique, to Asia, to many European countries, the contributors
to The Pattern Book include worldfamous cancer researchers, littleknown
artists, and eclectic computer programmers. Some of the patterns are ultramodern,
while others are centuries old. Many of the patterns are drawn from the
universe of mathematics.
The book is is organized into three main parts:
"Representing Nature" (for those patterns which describe or show real physical
phenomena, e.g., visualizations of protein motion, sea lilies, etc.), "Mathematics
and Symmetry" (for those patterns which describe or show mathematical behavior,
e.g. fractals), and "Human Art" (for those patterns which are artistic
works of humans and made without the aid of a computer, e.g. Moslem tiling
patterns).
"Artists, scientists, and computer enthusiasts will be delighted
by this inspiring collection of visually striking patters with accompanying
explanations and references."  Julien C. Sprott, Author of Strange Attractors:
Creating Patterns in Chaos
"The Pattern Book: Fractals, Art and Nature  fascinating!
A feast for both the eyes and the mind!... This book helps us gain insights
on how patterns are created and their scientific connections, while letting
us enjoy the impact of their visual beauty. A must for those interested
in science, nature or art."  Theoni Pappas, Author of The Joy of Mathematics
"There is not an ugly page in Pickover's marvelous anthology.
It is impossible to turn them without being overwhelmed by the mysterious
order embedded both in the uniniverse and pure mathematics."  Martin Gardner
"In this collection of contributions on pattern creation
in science, art, and nature, Part 1, "Representing Nature," has photos
and sketches as well as computergenerated patterns associated with diverse
natural phenomena: solar and planetary vortices, wood patterns, DNA nucleotide
sequences, sea lilies, etc. Part 2, "Mathematics and Symmetry," the major
part of the book, offers computergenerated patterns originating from a
broad spectrum of mathematics, e.g. number theory, geometry, trigonometry,
tesselation and tiling, dynamical system, cellular automata, and fractals.
Many of the patterns are associated with Mandelbrot and Julia sets. Part
3, "Human Art", contains Escherlike tesselations; Tamil, Persian, Japanese,
and Celtic designs; ornamental alphabets, cubist art, and Art Deco patterns.
Emphasis is "on the fun that the true pattern lover finds in doing, rather
than in reading about the doing." The patterns, many in black and white,
some in color, are generally intricate and beautiful. Pseudocode and code
are provided for many of the patterns. The book stimulates experiment.
An excellent resource for entry into the world of patterns. Recommended
for artists, scientists, and computer enthusiasts, undergraduates through
professionals."  G. Junevicus, CHOICE, Oct 96
VISIONS OF THE FUTURE: ART, TECHNOLOGY, AND COMPUTING
IN THE NEXT CENTURY C. Pickover. St. Martin's Press, 1994. ISBN 0312122128.
$16.95 (Softcover, 2nd edition) ISBN 0312084811. $29.95. (Hardcover)
Also published in the UK by Science Reviews. Amazon.Com
Computers shape the way we think, imagine and remember.
They expand our imagination, allow us to create amazing new art forms,
and to dream of scientific problems never before thought possible. Visions
of the Future suggests how twentyfirst century computers and computer
art will provide humankind with an unlimited landscape for exploration
and unparalleled aid for the imagination. From weather prediction, to fractal
mathematical art, to simulated golf, Visions of the Future shows how the
line between art and science in the computer age is often indistinct. Other
topics: science museums of the future, classrooms of the future, the future
of computer art, fractals and genetics, and much more.
"The computer revolution is moving so fast that even science
fiction finds it hard to keep up. What mindboggling developments in technology,
art, music, mathematics  even in such games as golf and baseball  are
about to transform our culture in irreversible ways? Hold fast to your
seat when you read what this exciting volume has to reveal!"  Martin Gardner,
Scientific
American
BOOK'S TABLE OF CONTENTS
The Virtual Science Center: "A Museum of Everything that
Could be Imagined", Dawn Friedman
The Future of Student Computer Use, William J. Joel
Forging a Career as a Sculptor from a Career as a Computer
Programmer, Stewart Dickson
The Future of Weather and Climate Prediction, Thomas T.
Warner and Bill Buzbee
Computers and Human Communication, Davis Albert Foulger
The Universal Robot, Hans Moravec
Materials Science: One Morning in the Year 2079, B. David
Silverman
Current Techniques and Development of Computer Art, Franz
G. Szabo
Computer War Games in the 21st Century, James J. Perry
Will Computers Really Think in the 21st Century?, Ira
Glickstein
Fractals and Genetics in the Future, H. Joel Jeffrey
Electronic Storytelling in the 21st Century, Judy Malloy
Using Artificial Intelligence to Control Traffic, Carlos
David Nassi
Molecular Biology and Futuristic Problem Solving, Mels
Sluyser and Erik Sonnhammer
Studying Prehistory with Tomorrow's Computers, D. G. East
Computers and Future Golf, Anthony S. Akins
Artificial Life: Answering the Question of Emergence,
William R. Buckley
The Future of Ambiguous Art, Peter Hettich
Beyond Art, Paul Brown
FRONTIERS OF SCIENTIFIC VISUALIZATION C. Pickover
and S. Tewksbury, Wiley, March 1, 1994. Topics: computer graphics, computer
art, virtual reality, fractals, unusual graphics of genetic sequences,
etc. $34.95. ISBN 0471309729 Orders: 1800CallWiley. Fax: 9083022300.
Amazon.Com
Explore the art and science of making the unseen workings
of nature visible. Fluid flow, fractals, plant growth, genetic sequencing,
the configuration of distant galaxies, virtual reality, artistic inspiration...
these are a few of the many unseen phenomena that can be made visible through
the power of personal computers. This book explores the many ways in which
computers are now used as tools for simulation, art and discovery.
Contains contributions on scientific visualization of fluid
flow, scroll waves, chemical gradients, biological information encoded
in DNA, droplet coalescence phenomena, and architecture, as well as discussion
of reconciling artists and scientists, and virtual worlds. Contains 16
pages of color plates, and numerous b&w illustrations. Of interest
to the diverse professional and lay readers involved in computer graphics.
 Book News
Here is the book's Table of Contents:
Scientific Visualization of Fluid Flow
 Hassan Aref, Richard Charles, and Todd Elvins
Visualization of Scroll Waves
 Mario Markus and Manfred Krafczky
Visualization of Chemical Gradients
 Theo Plesser, Wolfgang Kramarczk, and Sefan Muller
Visualization of Biological Information Encoded in DNA
 Eugene Hamori
Visualizing Droplet Coalescence Phenomena
 Paul Meakin, Cliff Pickover, and Fereydoon Family
Computer Simulation of Plant Growth
 Philippe de Reffye
Scientific Display: A Means of Reconciling Artists and
Scientists
 JeanFrancois Colonna
Architecture and Applications of the Pixel Machine
 Michael Potmesil and Eric Hoffert
Brave New Virtual Worlds
 David Weimer
"Frontiers of Scientific Visualization explores the many
ways in which computers are now used as tools for simulation, art, and
discovery. It presents the most important recent work of some of the best
minds in computervisualization research. It also puts forth a vision for
the future in which current limitations on computer graphics dissolve,
opening great new frontiers, vast new landscapes of knowledge, creativity,
and even entertainment that, today, remain unseen."  from the book jacket
"The art of making the unseen VISIBLE." book jacket
From the book jacket: "Explore the art and science of making
the unseen workings of nature VISIBLE. Fluid flows, fractals, plant growth,
genetic sequencing, the configuration of distant galaxies, virtual reality,
artistic inspiration... these are a few of the many unseen phenomena, processes,
events, and concepts that can be made visible through the power of modern
computers  including personal computers."
VISUALIZING BIOLOGICAL INFORMATION Pickover, C. World
Scientific. (Fall 1995) ISBN 9810214278. Amazon.Com
Biological data of all kinds is proliferating at an
incredible rate. If humans attempt to read such data in the form of numbers
and letters, they will take in the information at a snail's pace. If the
information is rendered graphically, however, human analysts can assimilate
it and gain insight much faster. The emphasis of this book is on the novel
graphical and musical representation of information containing sequences,
such as DNA and amino acid sequences, to help us find hidden pattern and
meaning.
"I must say that this is a fascinating book about a fascinating
subject: new ways of representation of symbolic sequences of nucleic acids
(DNA, RNA, gene mapping) and proteins. DNA (deoxyribonucleic acid) is the
molecule that stores the information (called the genetic code) in organisms
as a series (sequences) of 4 bases coded A,T,C and G. This information
is written with these "characters" forming "words" of 3 letters. The words
code for specific amino acids which are, in turn, the building parts of
proteins. These information blocks are organised into larger functional
units called "genes". Our genetic code consists of 50000 to 100000 genes
of 2 to 2000000 bases each.
Certainly many difficulties arise when all this massive
information has to be understood or represented in some way. Visualization
techniques originate to overcome these problems and to allow the disclosure
and identification of interesting or useful "patterns" in the sequences.
The book consists of the editor's preface and a collection
of 15 contributions written in scientific journal style by experts on the
subject. There are two impressive colour plates and many black a nd white
illustrations and diagrams and all the contributions include a "glossary"
to clarify some of the scientific terms to the readers The preface is an
introduction to visualization, its objectives and examples. It includes
about 10 pages of literature references on computational biology, computers
and DNA, genetics and music, genetics and fractals, and visualization.
There is also a comprehensive list of genetic and biological data repositories
with Internet addresses, a list of electronic newsgroups (BIOSCI), a list
of USENET newsgroup s addresses, and other Internet resources of interest.
The chapters deal with a variety of problems such as graphical
representations to disclose "patterns", whether a sequence is "random"
or not, taxonomical classifications, how to represent the 3dimensional
structure of proteins in two dimensional space and how to quantify similarities
between sequences. Some of the contributions go beyond the description
of the algorithms and methods and include computer code. For example "A
Transforming Function for Generation of Fractal Functions from Nucleotide
Sequences by J. CampionePiccardo has a Pascal implementation of his method
of barograms. Gene Music: Tonal Assignments of Bases and Amino Acids by
N. Mukata and K. Hayashi is a paper describing DNA to musical notes transform
that may help to make sequences more comprehensible. Their chap er includes
3 music scores produced from DNA data and a script for "Hypercard" and
"HyperMIDI 2.0" (Macintosh computer). Some of the algorithms to "visualise"
the sequences are in principle simple and at the same time very powerful;
with some computer skills one may be able to reproduce or implement the
methods described.
Who is this book for? I think that it will be of interest
to a broad range of readers, from biochemists to molecular biologists,
computer and computer graphics scientists. It may also appeal to computer
enthusiasts as some of the algorithms described may also be applied to
other symbolic sequences such as texts or codes. The type of graphic representations
shown in the book may not be esthetically as eye catching as so me graphical
rendering in the previous titles by Pickover (The Pattern Book or Computers,
Pattern, Chaos and Beauty) but we must not forget that the main purpose
of the book is to present techniques to make sense out of biological data,
while beauty is in the eye of the beholder.
 Dr. Gabriel Landini, Fractal Report
"Biologists and computer scientists will find treasure in
this serious exploration of visualization in molecular biology. Just as
scientific computation produces enormous quantities of data that must somehow
be grasped by human minds before it can yield fruit, evolution has created
huge stores of biological information  nucleic acid and protein sequences
 that we are just beginning to understand. This book presents many computer
graphics tools to help in our search for meaning in the code of life. For
the general reader interested in molecular biology, the editor's invaluable
and extensive preface provides access not only to the scientific articles
that follow but to the rapidly expanding world of biology on the Internet."
 Dr. Dawn C. S. Friedman, Harvard University
"With the ongoing improvements in computer visualization
techniques, scientists have begun to appreciate the value of visually interpreting
their data. Biologists are no exception, and have realized that visual
patterns in large amounts of data, such as that generated by the human
genome project, are recognized much more readily than numerical patterns.
Visualizing Biological Information, edited by Clifford Pickover, is written
specifically for biological scientists working with visualization techniques.
It concentrates on protein, DNA, and gene and amino acid sequences, and
demonstrates how complex data can be reduced to a manageable level. Fifteen
benchmark articles are included. They are written by leading international
authorities in wideranging areas, and cover themes such as "graphical
representations of amino sequences" which describes DNA geometry, and "fractal
functions from nucleotide sequences" which identifies peculiarities in
DNA base sequences. There are also articles on the straightforward use
of statistics (pattern or cluster analysis, dendrograms, Fourier transforms,
principal component analysis, etc) and graphics (ball and stick models)
to reduce the detail in data. A memorable sections describes the statistical
representation of DNA base sequences using facial symbols. An interesting,
philosophical article introduces "gene music"  in which musical notes
are assigned to DNA bases to allow audio representation of genetic information.
Scales are related to the chemical properties of amino acids, and melody
sequences are then recorded in MIDI format. As an example, musical "scores"
for the drosophila and neurospora gene products are given for the harp
and clarinet. The book has a long preface containing extensive reference
information. This includes a literature guide and list of organizations,
journals, databases, networks, and newsgroups with interest in data visualization.
A common theme throughout is the reference to World Wide Web pages, email
and server systems that help update scientists on the latest software and
data and enable contact between research groups to be maintained. Good
use is made of diagrams and figures to illustrate different visualization
examples, but rather than being a reference text, the book provides a window
on the direction in which work is progressing. The book can also be of
some value to other scientists who acquire or access complex data, and
wish to consider alternate ways of interpreting their results." Mark Varney,
Scientific Computing World, Oct 1996
Table of Contents:
Preface  Clifford A. Pickover
A Picture of the Genetic Code  Rosemarie Swanson and
Stanley Swanson
Graphic Representations of Amino Acid Sequences  Ann
Williams, Kelly D. Chenault, and Ulrich Melcher
Representing Protein Sequence and ThreeDimensional Structure
in Two Dimensions  Rosemarie Swanson
Visual Display of Sequence Conservation as an Aid to
Taxonomic Classification Using PCR Amplification  Peter K. Rogan, Joseph
J. Salvo, R, Michael Stephens, and Thomas D. Schneider
Perceptible Features in Graphical Representation of Nucleic
Acid Sequences  Jacques Ninio and Eduardo Mizraji
Representations of Protein Patterns From 2D Gel Electrophoresis
Databases  Peter K. Lemkin
A Protein Visualization Program  D. A. Kuznetsov and
H.A. Lim
Gene Music: Tonal Assignments of Bases and Amino Acids
 Nobou Munakata and Kenshi Hayashi
Diagrammatic Representation of Base Composition in DNA
Sequences  ChunTing Zhang
A Transforming Function for the Generation of Fractal
Functions from Nucleotide Sequences  Jose CampionePiccardo
Visualization of Open Reading Frames in mRNA Sequences
 Perry B. Hackett, Mark W. Dalton, Darrin P. Johnson, and Melvin R. Duvall
Visualization of Protein Sequences using the 2D Hydrophobic
Cluster Analysis Method (HCA)  Michel T. Semertzidis, Etienne Thoreau,
Anne Tasso, Bernard Henrissat, Isabelle Callebaut, and Jean Paul Mornon
Diagnosis of Complex Patterns in Protein Sequences 
T. K. Attwood and D. J. ParrySmith
RNA Folding and Evolution  Kenji Yamamoto and Hiroshi
Yoshikura
Representation of Biological Sequences Using Point Geometry
Analysis  Y. K. Huen
Index
From the jacket blurb: Biological data of all kinds are proliferating
at an incredible rate. If humans attempt to read such data in the form
of numbers and letters, they will take in the information at a snail's
pace. If the information is rendered graphically, however, human analysts
can assimilate it and gain insight at a much faster rate. The emphasis
of this book is on the graphic representation of informationcontaining
sequences such as DNA and amino acid sequences in order to help the human
analyst find interesting and biologically relevant patterns. Pickover's
goal is to make this voyage through molecular biology, genetics, and computer
graphics as accessible to a broad audience as possible, with the inclusion
of glossaries at the end of most chapters, and program outlines where applicable.
The book will be of most interest to biologists and computer scientists,
and the various large reference lists should be of interest to beginners
and advanced students of biology, graphic art, and computer science. Contributors
find pattern and meaning in the cacophony of sequence data using both computer
graphics, fractals, and musical techniques.
FUTURE HEALTH: Computers and Medicine in the 21st Century
St. Martin's Press, Nov 1995. ISBN 0312126026, cloth $23.95 Amazon.Com
This book considers the tremendous effect that computers
will have on medicine in the next century. Topics include: the challenges
of future medical schools in preparing physicians in the 21st century,
the use of new medical imaging technologies, the use of electronic gophers
to obtain medical information, digital dentistry, the use of artificial
intelligence in medical diagnoses, futuristic operating rooms, computer
conferences for medical consulting, the future of computers in pathology,
robot surgeons, and more....
"In this excellent review of the present and future uses
of computers in medicine, each chapter is written by experts. A very useful
glossary... In the preface, the editor briefly overviews the present uses
of computers in patient care and medical education and describes additional
resources. Despite the book's primary medical focus, FUTURE HEALTH is useful
to anyone interested in the Internet. Recent breakthroughs in the fields
of pathology, surgery, and dentistry are detailed. This book should be
ready by anyone interested in computers and/or medicine."
 H. W. Wallace, CHOICE, May 1996, 33(9).
Here is the book's Table of Contents
Preface
PART I. MANAGING INFORMATION AND SERVICE
Chapter 1. Preparing Future Physicians: How will Medical
Schools Meet the Challenge?
 David Kaufman, Ed.D., Director, Medical Education Unit
 Ms. Grace Paterson, M.Sc., Coordinator, Medical Informatics
Dalhousie University
Chapter 2. Just How Many Patients Can Fit in an Exam Room?
 Risa B. Bobroff
 Ronda H. Wang Baylor College of Medicine
Chapter 3. Computers and Medicine: Advancing the Field
 Christopher Galassi, MD, MS Methodist Hospital of Indiana
The Future of Computer Conferencing for Medical Consulting
 W. R. Klemm, DVM, Ph.D
 J. R. Snell, DVM, MS
Department of Veterinary Anatomy and Public Health Texas
A&M University
Chapter 5. The Impact of Gophers on Biomedical Science
 Tim Littlejohn, Ph.D.
Department de Biochimie
Universite de Montreal
PART II. TECHNOLOGICAL BREAKTHROUGHS
Chapter 6. The Future of Computers in Pathology
 Gabriel Landini, Dr. Odont, PhD
 John W. Rippin, PhD. FRC Path.
Oral Pathology Unit
The University of Birmingham
Chapter 7. Bloodless Robotic Surgery
 John R. Adler, M.D.
 Achim Schweikard, Ph.D.
Dept of Neurosurgery, Stanford University
Institut fur Informatik, Technische Universitat Munchen
Chapter 8. Medical Images Made Solid
 Peter J. de Jager and Johan W.H. Tangelder
Delft University of Technology
Chapter 9. ComputerAssisted Dental Care: Dentistry Goes
Digital
 Allan G. Farman, PhD (odont.), MBA
Professor, Radiology & Imaging Sciences Division
 William C. Scarfe, BDS, MS
School of Dentistry
University of Louisville
Chapter 10. Medical Imaging and the Futures of Computers
in Medicine
 Michael de la Maza, Artificial Intelligence Laboratory,
Massachusetts Institute of Technology
 Deniz Yuret, Artificial Intelligence Laboratory, Massachusetts
Institute of Technology
THE BEST OF THE JOURNAL OF CHAOS AND GRAPHICS This
newsletter has since evolved into a regularly appearing color section in
the international Pergamon Press journal Computers and Graphics.
I edit this section. Please send me your submissions.
Judging from what I already know of your personal
interests,
I think several of the following books would fascinate
you:
Return
to Cliff Pickover's home page which includes the Wishing Project, computer
art, educational puzzles, fractals, virtual caverns, JAVA/VRML, alien creatures,
black hole artwork, and animations.