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The excerpt represents the core issue or deciding factor on which you must meditate, and is drawn from Flatland: A Romance of Many Dimensions by Edwin A. Abbot: it is extremely difficult for the most delicate touch to feel
any polygonal angles. Let me say rather, it WOULD be difficult:
for, as I have shown above, Recognition by Feeling is unknown
among the highest society, and to FEEL a Circle would be considered
a most audacious insult. This habit of abstention from Feeling
in the best society enables a Circle the more easily to sustain
the veil of mystery in which, from his earliest years, he is wont
to enwrap the exact nature of his Perimeter or Circumference.
Three feet being the average Perimeter it follows that,
in a Polygon of three hundred sides each side will be no more than
the hundredth part of a foot in length, or little more than the tenth
 Flatland: A Romance of Many Dimensions |