Skip to Content

BOOK REVIEW: “Flatland: A Romance of Many Dimensions” by Edwin Abbot (1884)

Republibot 3.0's picture

is spouting gibberish.

So: a very clever concept, very cleverly done, and I, personally liked it so much I’ve read it twice.

Alas…

The central concept (As above, so below, dimensionally speaking) is a pretty easy one. I’ve set it down in less than two pages here, and while there’s a lot of finer points and implications, really you can cover the whole thing in fairly exhaustive detail in twenty pages or so, tops. Any more detail than that would bring math into it, and no one wants that. Well, a twenty-page novel isn’t a novel, now is it? In fact, it’s not even really a short book, more of a tract.

Abbot pads out his story with an *enormous* amount of social satire. The entire first half of the book is an elaborate description of how Flatlander civilization works. Basically they’re very class-conscious victorianesque folk, who’s status is dictated by the number and regularity of their angles, and who’s intelligence is dictated by the degree of their largest angle. Women are simple lines, and having no angles at all, are regarded as stupid chattel. The lower classes are all pointy isosceles triangles, the priestly class are circles, the nobility are manysided polygons. We get a lot of detail as to how they interact, how their schools work, how they feel about each other, and so forth. I’m told by people who claim to know such things that all this is a hilarious send up of the mores of the day. Well, maybe so, but I get the feeling these sections were every bit as flaccid then as they are now. There is, however, one really funny bit about how schools are very instrumental in keeping down the numbers of the lowest classes by chaining them up in classes for the students to gawk at, and thereby learn to recognize the poor. In some of the more liberal schools, they feed the poor subject, but in most of them they just leave the guy chained up until he starves, then chuck the corpse and grab another. After all, there’s always more poor, right?

All of this goes on way too long and in way too much detail, but it is needed to get across the idea of how Lineland works as a society, and not just a mathematical abstraction. For the allegory to be effective, we have to accept Square as a person (Stodgy prig though he may be). It also drives home the idea of what the place looks like from ‘inside’ - remember, the Flatlanders can only see a line. Their entire universe is just an infinite plane, so basically they can only see lines. A triangle is a line seen edge on, as is a circle, as is a square. They identify each other by touch, or by shading, since light and fog pervade the place (Don’t ask how).

This is tedious and time consuming, and it’s not helped any by Abbot’s hyper-florid style of writing. Having read a lot of Victorian SF, I feel reasonably certain that his peers would have read this and said, “Eddie, dude, you’re cramming sixteen prepositions into one line, what’s with all this 'ye olde timey' crap?” (Said with a British accent, of course)

The second half of the book works much better, as we get to the actual meat of the story, and such padding as there is really is quite compelling: We deal with society and government’s utter refusal to accept any new teachings that question the nature of reality, as their morals and position depend on a perpetual status quo, we get fear and loathing, and imprisonment as befitting all prophets, and we get a surprising bit where Mr. Square suddenly has a glimpse of inspiration that’s been denied to the Spheres themselves, which makes him - momentarily - their unlikely intellectual superior. This pisses them off, his heavenly ascent is ended, and he spends the rest of his days, like Paul in prison, waiting for the axe.

Which brings us to the ‘spiritual’ and ‘popular’ aspects of this book I mentioned above:

This book was championed by the “Spiritualist” Movement around the turn of the century. Spiritualists were folks who insisted séances were real, the spirits were real, and that all this stuff makde some kind of preternatural scientific sense. In fact, most of them didn’t really care about the scientific stuff so much - ninety-nine percent of what they were on about was pernicious nonsense - but science gave their hoo-hah the touch of validity they craved. The fourth dimension would seem to be ‘the dimension of spirit,’ or at least it would appear as such to us, and so they embraced it. There’s a zillion spiritualist tomes from the period (1890-1930 or so) that make the connection between hypermath and spookie-ookies. A number of them work in Atlantis and Madam Blavatsky to a greater or lesser extent as well. Abbott got there first, however, and he did it better, and without overtly tying it to the occult, even if he implies such a thing might be possible.

His critique of organized religion in the end - that it’s sent running higgledy-piggeldy by any new revelation - is certainly true. We see it in the bible itself: New prophets being opposed by the followers of old prophecy; we see it in politics and art as well. Anything that casts new light on old things is always feared, and Abbott correctly sums that up without getting bogged down in particulars. (My own personal shibboleth for this has always been: If St. Paul was sitting in your church on Sunday, would your preacher be happy about it, or would he try to cover it up for fear that Paul would damage his power and reputation?)

So: an obscure little mathematical allegory became required reading in a bunch of weirdo religious cults, became ubiquitous, and then had its popularity decline as the cults it’d been tied to withered and died. The book itself isn’t cultic at all, however, despite the guilt by association. Even so, it’s an extremely important benchmark in both Science Fiction and actual Math itself.

WILL CONSERVATIVES LIKE THIS BOOK?

I honestly don’t see why not. There’s no sex, no drugs, nothing bad, just a stodgy Victorian parallelogram debating the nature of the universe, and casting aspersions on the very government we fought a war to get away from. What’s not to like? It’s a challenging read, but ultimately a rewarding one, well worth the time if you’ve got the fortitude to wade through excess verbiage.

Comment viewing options

Select your preferred way to display the comments and click "Save settings" to activate your changes.
10000li
10000li's picture
Offline
Joined: 10/23/2009
Living in Flatland:Trematode-style
Republibot 3.0
Republibot 3.0's picture
Offline
Joined: 12/27/2008
hundreds

>>(not sure how many cases there are, but it does seem interesting<<<

Oh, there's hundreds, most venting the author's own predilections. Heinlein, Asimov, Clarke, Rucker, Varley (As a parody), Philip K. Dick, Zamayatin, zillions.

The Artist Formerly Known As Republibot 3.0

nwkeys01
nwkeys01's picture
Offline
Joined: 08/22/2009
pantheism trend

I looked at a bunch and a bunch of different religions and put together parts I liked. Male and female god from Wicca as well as the concept of yin and yang. But reading about Gnoticism, it does seem interesting.

the Demiurge remind's me of P. Pullman's God in his book "The Amber Spyglass"

and from what you've said about SF:

pantheism seems to have a trend of not catching on as a major religion

B5- loose pantheism = not cultified
Star Wars- random junk= cults galore
Solaris= loose pantheism = not cultified
(not sure how many cases there are, but it does seem interesting

Republibot 3.0
Republibot 3.0's picture
Offline
Joined: 12/27/2008
Page 2

>>>Let me explain in how I see it. The universe is exapanding. It you take a chunk of space, the fabric of space in one planck second, it doubles in size.
The planck drive would travel faster than that.<<<

That's interesting. I haven't seen that before. Neat!

>>>And then break through to the multiverse, where he meets God [...] and then basically ca retire as a universe and spend all the time in the multiverse.<<<

Neat! And then what do you do on page 2? I'm kidding. I kid. Again, it's something I haven't seen before. Originality is to be prized, though some aspects of it remind me of some schools of gnosticism, but then I like the Gnostics so I tend to see them everywhere, even if they're not really there.

Would it be considered a new religion or an SF novel? Depends largely on the intent, but it's mostly the luck of the draw. B5 has a pretty cohesive religious element that supports a kind of neoplatonic pantheism, but no one's picked that up and prayed to it. Star Trek has a bunch of random crap thrown at a wall, and there are people who have worshiped that. Solaris posits an interesting isolated pcket of pantheism, but no one worships it. Abbot's "Flatland" wasn't intended as a religious book, but a generation of culties cited it as something like their Bible.

Much like restaurants, 99% of all new religions fail within the first five years, and much of the success is based on marketing rather than quality. SF *has* been used to start religions in the past, though. We even reviewed "Atlas Shrugged" here on the site a while back, and that would probably qualify on every level excepting the absence of a god.

I suppose the question is: do you *want* it to count as a new religion?

The Artist Formerly Known As Republibot 3.0

nwkeys01
nwkeys01's picture
Offline
Joined: 08/22/2009
fosterism and planck drive

@ Jake: sound a bit like Parallelities by Alan Dean Foster at first glance

now what would really be cool would be a planck (as in Max Planck) drive
It allows a craft to travel faster than the universe.
---------------------

Let me explain in how I see it. The universe is exapanding. It you take a chunk of space, the fabric of space in one planck second, it doubles in size.
The planck drive would travel faster than that.

And then break through to the multiverse, where he meets God, who is a woman (the incarnation of the universe). God talks about how it all began, a long time ago.
He also meets Jesus, our universe. It turns out that he can't go back and has effectively died in his own universe. God and Jesus help him out, and teach him how to connect with his soul through meditation. Now a universe in itself.

He goes through the whole six "days" of creation in his own universe soul, and creates animals, and what not, eventually leading up to the creation of sentient beings. He has to let them fall, himself "playing the part of the serpent" so that his sentient beings don't commit evil because they didn't know any better.

While not meditating, outside in the Multiverse, he even meets someone from Himself. goes back to meditating and an active universe, and must incarnate himself in himself, and play the role of Jesus, "dying" for the redemption of his creations.

After that he occasionally checks up on the universe, but spends most of his time in the Multiverse/Heaven/God spending eternity doing stuff, until the point in a universe's existence that life can no longer survive (like proton decay, nothing can really survive, but universe is still there) and then basically ca retire as a universe and spend all the time in the multiverse.

----Q: would that be considered a new religion or a SF novel?

Forth dimension: see time in a simultaneous manner, think about seeing one object throughout history, all at once
kinda like this:
http://theemergencesite.com/Images/ConsciousnessTimeLine.gif
the diagram is a 4th dimensional representation of memory

Republibot 3.0
Republibot 3.0's picture
Offline
Joined: 12/27/2008
Doubletalk

>>>I'm far more interested in what he finds on the parallel Earth than on how he gets there.<<<

Heh heh. In the "Redneck Universe" stories I've written, the engines for the starships are called the "Doubletalk Drive," since no one but their inventor understands how they work. He was really open with explaining them, but it was simply beyond people's abilities. (There is a slightly-less-doubletalky explanation for how they work behind all that which may come out in a story someday however). I just loved that name, though. Laughed and laughed and laughed and laughed when I thought it up.

Anyway: absolute best book on the 4th dimension is "Geometry, Relativity, and the Fourth Dimension" by Rudolf v.B. Rucker (Copyright 1977, Dover publications) He explains the whole thing in very readable format. In addition to being a brilliant mathematician, and refusing (Very politely on moral grounds) to be interviewed by our site, he also writes SF under the name "Rudy Rucker." Despite political differences, I love the guy. He's one of my heroes.

The Artist Formerly Known As Republibot 3.0

Jake Was Here
Offline
Joined: 07/24/2009
>>>There’s a lot of

>>>There’s a lot of illiterate and innumerate talk of the fourth dimension in Science Fiction. It’s become a magic happy land where anything can happen, and everything makes sense. In essence, it’s a great big literary wizard that lets anything the story needs take place. This trend is ignorant and kind of a waste, too, as the higher dimensions are really neat, and they *do* play by a concrete set of rules, just as our own lower dimensions do. It’s fun to learn this stuff because, well, it’s fun to learn anything, really, but beyond that it’s kind of neat to be able to spot when some hack writer or three-degrees-below-Dumbass TV producer is spouting gibberish.<<<

I wish I could understand the more-than-three-dimensions thing more accurately, but I know next to nothing about physics outside of what I learned in my senior year of high school. I am, however, of the school of thought that hypothesizes that time is a dimension, and I can kind of understand what the superstring theorists suggest about there being anything from four to ten dimensions.

The logical progression from that idea, in my thought, is as follows: If there are more than four dimensions to existence, then we may be said to exist in all of them... but it may be impossible to move through time, or any of the higher dimensions, as we move through three-dimensional space. One of the main premises of the novel I'm working on, hopefully dressed up with enough pseudo-babble to make sense, is that the main character's ability to "phase shift" (to transit himself between two parallel Earths) is the product of experimenting with altering higher dimensions. The two Earths (and there may be more) occupy the same location in time and space, but they don't physically coincide because they're oriented at different angles in the higher dimensions.

This, of course, isn't the point of the book -- I'm far more interested in what he finds on the parallel Earth than on how he gets there. It's a plot device, in the end -- as long as it's slightly plausible, I figure it'll work. I just hope that doesn't place me in the "hack" category.

Republibot 3.0
Republibot 3.0's picture
Offline
Joined: 12/27/2008
FIXED!

The Artist Formerly Known As Republibot 3.0

Republibot 3.0
Republibot 3.0's picture
Offline
Joined: 12/27/2008
My 11-year old loved it

My 11-year old loved the book, despite the slow and florid first half, and he really really really liked the ooh-and-ahh quality of learning something neat and new and esoteric that most people don't understand.

I'm not sure why these comments aren't showing up on the comments list. I'll check into that.

The Artist Formerly Known As Republibot 3.0

10000li
10000li's picture
Offline
Joined: 10/23/2009
Ha! My comment got sent to the ether, but I'd saved it-so there!

[double post removed by author]

10000li
10000li's picture
Offline
Joined: 10/23/2009
Fro those who wish to read "Flatland"

Here is a link to the 5th edition:

http://xahlee.org/flatland/index.html

It was almost a requirement to read this book in my geek/math/science posse when I first started college. It could be treated like a primer in learning about alterante worlds. I especially like that A. Square learns his lesson too well and tries to convince the Sphere of the reality of a Fourth Dimension, but the Sphere will not believe him.

I'm going to have my kids read it when they get a little older.

Comment viewing options

Select your preferred way to display the comments and click "Save settings" to activate your changes.

Status

Bleeding Heart does not have a status.

Latest Status Updates

Ginrummy Ray Harryhausen, Visual Effects Master, Dies Aged 92 2 weeks ago
SheldonCooper Iron Man 3 review will be live first thing in the morning! 2 weeks ago
SheldonCooper @Kevin Long Second, it reminds us to never stop looking to the future and trying to make it better. Everything Trek's ever stood for 3 weeks ago
SheldonCooper @Kevin Long Observing a fictional event like First Contact Day is, first and foremost, just fun. 3 weeks ago
Kevin Long @SheldonCooper: can you comemorate an event before it happens? Or what about celebrating an event that didn't, like September 13th, 1999? 3 weeks ago
SheldonCooper @Kevin Long according to Star Trek, April 5, 2063 will be the day we make FC with the Vulcans. Thus, April 5 is FC day 4 weeks ago
Kevin Long @SheldonCooper: Huh? First contact day? 5 weeks ago