**Other Facts**

- The diagonals of a square are (about 1.414) times the length of a side of the square. This value, known as Pythagoras' constant, was the first number proven to be irrational.
- A square can also be defined as a parallelogram with equal diagonals that bisect the angles.
- If a figure is both a rectangle (right angles) and a rhombus (equal edge lengths), then it is a square.
- If a circle is circumscribed around a square, the area of the circle is (about 1.571) times the area of the square.
- If a circle is inscribed in the square, the area of the circle is (about 0.7854) times the area of the square.
- A square has a larger area than any other quadrilateral with the same perimeter.
- A square tiling is one of three regular tilings of the plane (the others are the equilateral triangle and the regular hexagon).
- The square is in two families of polytopes in two dimensions: hypercube and the cross polytope. The Schläfli symbol for the square is {4}.
- The square is a highly symmetric object. There are four lines of reflectional symmetry and it has rotational symmetry of order 4 (through 90°, 180° and 270°). Its symmetry group is the dihedral group D
_{4}. - If the inscribed circle of a square
*ABCD*has tangency points*E*on*AB*,*F*on*BC*,*G*on*CD*, and*H*on*DA*, then for any point*P*on the inscribed circle,

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Facts

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**Facts**usually refers to the usage as a plural noun of**fact**, an incontrovertible truth ...**Facts**may also refer to Carroll, Lewis, who wrote a poem called "**Facts**"**FACTS**(newspaper), program produced by Asia Television in Hong Kong Flexible AC transmission system ...### Famous quotes containing the word facts:

“But lest I should mislead any when I have my own head and obey my whims, let me remind the reader that I am only an experimenter. Do not set the least value on what I do, or the least discredit on what I do not, as if I pretended to settle any thing as true or false. I unsettle all things. No *facts* are to me sacred; none are profane; I simply experiment, an endless seeker with no Past at my back.”

—Ralph Waldo Emerson (1803–1882)

“All the *facts* of nature are nouns of the intellect, and make the grammar of the eternal language. Every word has a double, treble or centuple use and meaning.”

—Ralph Waldo Emerson (1803–1882)

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