ed 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 Law decided that in all towns containing a population above ten
thousand, the angle of a Pentagon was the smallest house-angle that
could be allowed consistently with the public safety. The good sense
of the community has seconded the efforts of the Legislature; and now,
even in the country, the pentagonal construction has superseded every
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