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ABOUT
SQUARE
In
geometry a polygon is traditionally a plane figure that is bounded
by a closed path or circuit, composed of a finite sequence of straight
line segments. These segments are called its edges or sides, and the
points where two edges meet are the polygon's vertices or corners.
The interior of the polygon is sometimes called its body. A polygon
is a 2-dimensional example of the more general polytope in any number
of dimensions. The word "polygon" derives from the Greek ("many")
and (go-nia), meaning "knee" or "angle". Today a polygon is more usually
understood in terms of sides. Usually two edges meeting at a corner
are required to form an angle that is not straight (180°); otherwise,
the line segments will be considered parts of a single edge. The basic
geometrical notion has been adapted in various ways to suit particular
purposes. For example in the computer graphics (image generation)
field, the term polygon has taken on a slightly altered meaning, more
related to the way the shape is stored and manipulated within the
computer.
In mathematics, a unit square is a square whose sides have length 1. Often, “the” unit square refers specifically to the square in the Cartesian plane with corners at (0, 0), (1, 0), (0, 1), and (1, 1).
In the real plane In a Cartesian coordinate system with coordinates (x , y) the unit square is defined as the square consisting of the points where both x and y lie in the unit interval from 0 to 1. That is, the unit square is the Cartesian product I × I, where I denotes the unit interval. Whether the interval used is open or closed, and at which ends, is at the discretion of the user of the term, who should make it clear which precise definition they are using; however, the term unit interval is most usually used to refer to the closed interval [0,1].
In the complex plane In the complex plane, the corners of the unit square are at 0, 1, i, and 1 + i.
Square
may refer to:
Mathematics
- A four-sided polygon with all sides the same length and all angles = 90 degrees
- Square (algebra),
to multiply a number or other quantity by itself
- Perfect square
- Square matrix
- Square number
- Square root
- Square (geometry),
a polygon with four equal sides and angles
- Unit square
- Square wave, a basic kind of non-sinusoidal waveform
- Square (album), an album by Buck 65
- Square (band), a musical trio from Lincoln, Nebraska
- Square Co.,
former video game company that merged with Enix to become Square
Enix
- Square Electronic Arts, joint venture between console video game developers Square and Electronic Arts
- Square Enix, a video game company formed by the merger of Enix and Square
- Square Pictures, a computer-animated film division of Square Co.
- The Square (1994 film), a Chinese documentary
- The Square (2008 film), an Australian film
- The Squares, an English band that formed in 1985
Language
- A modifier adjective, used when describing fielding positions in cricket
- An adjective or noun, used when describing two positions parallel with one another relative to the goal in football (soccer)
- Square character, a written character
- Square (slang), an unhip person or a cigarette
Places
- Square Lake, Maine, an unorganized territory in Aroostook County, Maine
- The Square, a common name for public squares
- Tiananmen Square in Beijing, China, the largest open urban square in the world
- Times Square, a popular landmark in New York City
- Town square or Market square, an open area commonly found in the heart of a traditional town
- Trafalgar Square in London, England
Other
- An astrological aspect of 90 degrees
- Broken square
- Carpentry square, a tool
- Infantry square
- Square (area), an Imperial unit of floor area and other construction materials
- Square (cipher), a cryptographic block cipher
- Square division, a form of military organization
- Square rig, a type of sail and rigging arrangement
- SQUARE methodology, a CERT SEE developed methodology for security requirements engineering
