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 houses.
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 or triangular
house residence might do serious injury to an inconsiderate
or perhaps absent-minded traveller suddenly therefore,
running against them: and 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 it is not desirable that
the general public should approach without circumspection.
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