FLATLAND

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FLATLAND

• The Movie

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• Here are some other three dimensional figures.

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• Pardon me. O Thou Whom I must no longer address
  as the Perfection of all Beauty but let me beg
  thee to vouchsafe thy servant a sight of thine
  interior.

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My What?
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• Thine interior thy stomach, thy intestines.

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• Whence this ill-timed impertinent request? And
  what mean you by saying that I am no longer the
  Perfection of all Beauty?

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• As you yourself, superior to all Flatland forms,
  combine many circles into One, so doubtless there
  is One above you who combines many Spheres into
  One Supreme Existence

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• of a certainty there is yet above us some
  higher, purer regionsome yet more spacious
  Space, some more dimensionable Dimensionality,
  from the vantage-ground of which we shall look
  down together upon the revealed insides of Solid
  things

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• Pooh! Stuff! Enough of this trifling! The time
  is short, and much remains to be done

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• Nay, gracious Teacher, deny me not what I know
  it is in thy power to perform.
• There is no such land. The very idea of it is
  inconceivable.

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• But what about the Argument from Analogy of
  Figures?

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In One Dimension, did not a moving Point produce
a Line with two terminal points?
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In Two Dimensions, did not a moving Line produce
a Square with four terminal points?
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In Three Dimensions, did not a moving Square
producethat blessed Being, a Cube, with eight
terminal points?
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• And in Four Dimensions shall not a moving
  Cube-alas, for Analogy, and alas for the Progress
  of Truth, if it be not so-shall not, I say, the
  motion of a divine Cube result in a still more
  divine Organization with sixteen terminal points?

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• It is reported so. But men are divided in
  opinion about the facts. No one has adopted or
  suggested the theory of the Fourth Dimension.
  Pray have done with this trifling.

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• Fin.

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• The Square and the Sphere have different ideas
  about the Fourth Dimension. Where do you stand?