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Flatland
1
Flatland
by Edwin A. Abbott 1884

Flatland
2
PART 1
THIS WORLD
SECTION 1 Of the Nature of Flatland
I call our world Flatland, not because we call it so, but to make its
nature clearer to you, my happy readers, who are privileged to live in
Space.
Imagine a vast sheet of paper on which straight Lines, Triangles,
Squares, Pentagons, Hexagons, and other figures, instead of remaining
fixed in their places, move freely about, on or in the surface, but without
the power of rising above or sinking below it, very much like shadows--
only hard with luminous edges--and you will then have a pretty correct
notion of my country and countrymen. Alas, a few years ago, I should
have said "my universe:" but now my mind has been opened to higher
views of things. In such a country, you will perceive at once that it is
impossible that there should be anything of what you call a "solid" kind;
but I dare say you will suppose that we could at least distinguish by sight
the Triangles, Squares, and other figures, moving about as I have
described them. On the contrary, we could see nothing of the kind, not at
least so as to distinguish one figure from another. Nothing was visible, nor
could be visible, to us, except Straight Lines; and the necessity of this I
will speedily demonstrate.
Place a penny on the middle of one of your tables in Space; and
leaning over it, look down upon it. It will appear a circle.
But now, drawing back to the edge of the table, gradually lower your
eye (thus bringing yourself more and more into the condition of the
inhabitants of Flatland), and you will find the penny becoming more and
more oval to your view, and at last when you have placed your eye exactly
on the edge of the table (so that you are, as it were, actually a Flatlander)

Flatland
3
the penny will then have ceased to appear oval at all, and will have
become, so far as you can see, a straight line.
The same thing would happen if you were to treat in the same way a
Triangle, or a Square, or any other figure cut out from pasteboard. As soon
as you look at it with your eye on the edge of the table, you will find that it
ceases to appear to you as a figure, and that it becomes in appearance a
straight line. Take for example an equilateral Triangle--who represents
with us a Tradesman of the respectable class. Figure 1 represents the
Tradesman as you would see him while you were bending over him from
above; figures 2 and 3 represent the Tradesman, as you would see him if
your eye were close to the level, or all but on the level of the table; and if
your eye were quite on the level of the table (and that is how we see him
in Flatland) you would see nothing but a straight line.
When I was in Spaceland I heard that your sailors have very similar
experiences while they traverse your seas and discern some distant island
or coast lying on the horizon. The far-off land may have bays, forelands,
angles in and out to any number and extent; yet at a distance you see none
of these (unless indeed your sun shines bright upon them revealing the
projections and retirements by means of light and shade), nothing but a
grey unbroken line upon the water.
Well, that is just what we see when one of our triangular or other
acquaintances comes towards us in Flatland. As there is neither sun with
us, nor any light of such a kind as to make shadows, we have none of the
helps to the sight that you have in Spaceland. If our friend comes closer to
us we see his line becomes larger; if he leaves us it becomes smaller; but
still he looks like a straight line; be he a Triangle, Square, Pentagon,
Hexagon, Circle, what you will-- a straight Line he looks and nothing else.
You may perhaps ask how under these disadvantagous circumstances
we are able to distinguish our friends from one another: but the answer to
this very natural question will be more fitly and easily given when I come
to describe the inhabitants of Flatland. For the present let me defer this
subject, and say a word or two about the climate and houses in our
country.

Flatland
4
SECTION 2 Of the Climate and Houses in
Flatland
As with you, so also with us, there are four points of the compass
North, South, East, and West.
There being no sun nor other heavenly bodies, it is impossible for us to
determine the North in the usual way; but we have a method of our own.
By a Law of Nature with us, there is a constant attraction to the South; and,
although in temperate climates this is very slight-- so that even a Woman
in reasonable health can journey several furlongs northward without much
difficulty-- yet the hampering effort of the southward attraction is quite
sufficient to serve as a compass in most parts of our earth. Moreover, the
rain (which falls at stated intervals) coming always from the North, is an
additional assistance; and in the towns we have the guidance of the houses,
which of course have their side-walls running for the most part North and
South, so that the roofs may keep off the rain from the North. In the
country, where there are no houses, the trunks of the trees serve as some
sort of guide. Altogether, we have not so much difficulty as might be
expected in determining our bearings.
Yet in our more temperate regions, in which the southward attraction is
hardly felt, walking sometimes in a perfectly desolate plain where there
have been no houses nor trees to guide me, I have been occasionally
compelled to remain stationary for hours together, waiting till the rain
came before continuing my journey. On the weak and aged, and especially
on delicate Females, the force of attraction tells much more heavily than
on the robust of the Male Sex, so that it is a point of breeding, if you meet
a Lady on the street, always to give her the North side of the way--by no
means an easy thing to do always at short notice when you are in rude
health and in a climate where it is difficult to tell your North from your
South.
Windows there are none in our houses: for the light comes to us alike

Flatland
5
in our homes and out of them, by day and by night, equally at all times and
in all places, whence we know not. It was in old days, with our learned
men, an interesting and oft-investigate question, "What is the origin of
light?" and the solution of it has been repeatedly attempted, with no other
result than to crowd our lunatic asylums with the would-be solvers. Hence,
after fruitless attempts to suppress such investigations indirectly by
making them liable to a heavy tax, the Legislature, in comparatively recent
times, absolutely prohibited them. I--alas, I alone in Flatland--know now
only too well the true solution of this mysterious problem; but my
knowledge cannot be made intelligible to a single one of my countrymen;
and I am mocked at --I, the sole possessor of the truths of Space and of the
theory of the introduction of Light from the world of three Dimensions--as
if I were the maddest of the mad! But a truce to these painful digressions:
let me return to our homes.
The most common form for the construction of a house is five-sided or
pentagonal, as in the annexed figure. The two Northern sides RO, OF,
constitute the roof, and for the most part have no doors; on the East is a
small door for the Women; on the West a much larger one for the Men; the
South side or floor is usually doorless.
Square and triangular houses are not allowed, and for this reason. The
angles of a Square (and still more those of an equilateral Triangle,) being
much more pointed than those of a Pentagon, and the lines of inanimate
objects (such as houses) being dimmer than the lines of Men and Women,
it follows that there is no little danger lest the points of a square of
triangular house residence might do serious injury to an inconsiderate or
perhaps absentminded traveller suddenly running against them: and
therefore, as early as the eleventh century of our era, triangular houses
were universally forbidden by Law, the only exceptions being
fortifications, powder-magazines, barracks, and other state buildings,
which is not desirable that the general public should approach without
circumspection.
At this period, square houses were still everywhere permitted, though
discouraged by a special tax. But, about three centuries afterwards, the
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