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The Planiverse: Computer Contact with a Two-Dimensional World, by A.K. Dewdney
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The year is 1981, and in the computer lab of a large university a group of graduate students and their professor are hard at work on their mainframe, graphically modeling an imaginary two-dimensional world. The project is going well, extraordinarily well, when one student suddenly notices that the world they are building with their graphics program is . . . inhabited! So begins A.K. DewdneyÕs newly republished 1984 tale of trans-dimensional discovery and communication. The students and their professor find, to their astonishment, that they are communicating with Yendred, their only contact in the 2D world of Arde. At first disbelieving, they are soon entranced by a universe in which astonishing tiny creaturesÑindeed an entire astonishing worldÑexist solely on an x-y plane. This book, following in the footsteps Edward AbbotÕs nineteenth century classic Flatland, is a cult favorite among mathematicians and computer scientists. As a kind of mental puzzle or brain-teaser, it challenges and delights, inviting readers to imagine just how a two-dimensional world might work. But the book is also a parable, serving as a cautionary tale about the difficulties of communication from one totally alien world to another, and suggesting that it is not only two-dimensional Ardeans who fail to see beyond the the obvious world before their eyes.
- Sales Rank: #515191 in eBooks
- Published on: 2000-10-12
- Released on: 1983-11-30
- Format: Kindle eBook
Review
The Planiverse ... stretches our imagination by introducing a new and different kind of world. In the process, it changes the way we look at our own. -- Discover Magazine
A worthy successor to Flatland. -- Thomas Banchoff, Nature
It's not everyone who gets to design a universe from scratch. But A.K. Dewdney has done just that. -- The Boston Globe
Once you have been captivated by the two-dimensional Ardean world, the problems facing its difficult technology haunt you, begging for more solutions. Arde easily becomes a puzzle without end. -- Erik Sandberg-Diment, The New York Times
About the Author
A.K. Dewdney is a mathematician, computer scientist, astronomer, engineer, and biologist. A member of the computer science department at the University of Western Ontario for 27 years, he retired in 1997, only to be appointed professor of Zoology at the same university in 1998 in recognition of his important biological work. Dewdney is the author of 11 books. He has been increasingly involved in environmental issues, mainly the habitat loss created by the expansion of human populations. Currently, most of the author's spare time is taken up by his work in a natural area close to his home, a 100-acre complex of forest and ponds. He and his wife are managing an ambitious bio-inventory of the area and have logged over 1,000 species.
Most helpful customer reviews
1 of 1 people found the following review helpful.
In creating a 2D world Dewdney expands our 3D vision
By Steve Reina
This is a great book. By creating a 2D world Dewdney expands our 3D vision.
In reading this book I was reminded of not only Abbott's Flatland (which was the original inspiration) I was also reminded of Charles Hinton's Fourth Dimension and Choas Coincidence and All That Math Jazz.
In each work, the writers effectively used 2D analogies to give us an idea of what 4D space might be like.
What Dewdney did however was to build detail into what has always been a simple model and thereby give greater detail to the potentialities of our vision.
While others have said that this book would be great for mathematicians I would offer that this book is great for anyone seeking to expand their horizons.
As Henry David Thoreau wrote in concluding his Walden: "There is more light to day than dawn. The sun is but a morningstar!"
Read this book and others like it and bask in the light of that morningstar!
3 of 3 people found the following review helpful.
a more-than-worthy successor to "Flatland"
By William Sommerwerck
Having just watched one of the two movie versions of Abbott's "Flatland" (I won't say which), I decided a review of "The Planiverse" was in order.
"The Planiverse" roughly reverses "Flatland", in that we see most of the story from the perspective of the higher dimension, rather than the lower. And though there's plenty of social satire (of a mild sort), the story focuses on "the search for truth", in which an Ardean young male (YENDRED) * is guided by a guru to a higher state of understanding. The end of the book leaves everyone (except the guru) startled, wondering what has happened and what it means.
Rather than geometric forms, Dewdney's two-dimensional universe is populated with objects and organisms that are analogs of those in our 3D world. Much of the fun of "The Planiverse" is seeing how such things as an animal's digestive tract -- which seems to require a third dimension -- can be made to function in two dimensions. These are shown in detailed, slightly fussy illustrations that perfectly complement the story's strangeness.
Unlike Abbott, Dewdney isn't interested in the geometry of two-dimensional space (which Abbott has already covered fairly well) but in its physics, and how that physics works in two dimensions. And unlike Abbott, Dewdny's story is linear, with clear dramatic movement (in both the 2D and 3D worlds) that would make a movie adaptation trivial. Why it hasn't been adapted is a mystery -- other than the fact that most Hollywood producers would consider it too "intellectual". (SyFy could do it for the price of one of their dreadful "mega-fill-in-the-name-of-a-repulsive-critter" movies.) I'd like to see Dan Haggerty as the instructor -- his looks suggest a burned-out hippie, which would be appropriate to the storyline -- but that's my taste.
I've read "The Planiverse" four times (I rarely reread books), simply because it's a fun read. If nothing else, Dewdney knows how to keep you turning the pages. He's managed to write a book about mathematics that's appealing even to people with no interest in math, simply because he tells an engaging story.
Apropos of nothing... Any "Gunsmoke" fans out there? Ever noticed how much Festus looks like an Ardean? Festus holds his arms away from his body, just as the Ardeans do (to let air reach their gills). They also wobble as they walk. Festus pretty much duplicates that wobble in three dimensions. Even the cross-sectional contours of Festus's body are a lot like the Ardeans'. These are coincidences, of course, but amusing ones, nonetheless.
* YENDWED would have been too obvious, and would have seemed a poke at Barbara Walters. And though "A K" is short for "Alexander Keewatin" (!!!), I suspect Dewdney is also aware it's short for "alte kocher", which I will not translate into English.
1 of 1 people found the following review helpful.
In the 1980's some students and a Professor meet YNDRD...
By Jvstin
The Planiverse: Computer Contact with a Two Dimensional World by AK Dewdney
The setting is a graduate program in the early 1980's. Computers are mainframes, time and resources are precious, and programs are primitive at best.
A group of students led by their professor decide to model a two dimensional world--with the deptyh and horizontal axis rather than the horizontal and vertical axes of Flatland. It starts as an exercise in pure physics, mathematics and computer science, until their model somehow connects to a real two-dimensional world, and an inhabitant, YNDRD, who can hear them in his mind.
And with YNDRD as our guide, we begin to learn about himself and the two dimensional Planiverse that makes his home...
Its a classic for good and many reasons. Dewdney's characters, with the exception of a little unnecessary and half-baked melodrama, are easily recognized academic types, jealous of their prize, and eager to learn more and more about the world they have inadvertently contacted. The Planiverse is a marvel of a gedankenexperiment--how could an inhabitable two-dimensional world exist and what would it be like? YNDRD goes on what is ultimately a spiritual quest (the novel can be thought of, really as a sufi story)--so there is a fair dollop of philosophy mixed in with the science.So we get to see a wide swath of his world, his beliefs and his life,and learn about it all as he makes his journey.
Although the technology has changed over time, the novel can comfortably be thought of as taking place in the early 1980's rather than as a contemporary novel. Once upon a time, computers really were this primitive.
There are lots of asides and text boxes exploring some of the concepts touched upon, as well as appendices that give the Planiverse even more depth. It's an amazing book and definitely suited to those who would want to think about the implications and puzzle of a two-dimensional world. The narrative itself is pretty basic and straightforward--but the universe, man, is where this novel shines. Dewdney's conceit in making the novel at first seem like a first hand account of a real event gives it verisimilitude, and the level of detail, as said above, sells it.
Highly Recommended.
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