Geometry
In geometry, a complex polygon is a polygon in the complex Hilbert plane, which has two complex dimensions.
A complex number may be represented in the form, where and are real numbers, and is the square root of . A complex number lies in a complex plane having one real and one imaginary dimension, which may be represented as an Argand diagram. So a single complex dimension is really two dimensions, but of different kinds.
The unitary plane comprises two such complex planes, which are orthogonal to each other. Thus it has two real dimensions and and two imaginary dimensions and .
A complex polygon is a two-dimensional example of the more general complex polytope in higher dimensions.
In a real plane, a visible figure can be constructed as the real conjugate of some complex polygon.
Read more about this topic: Complex Polygon
Famous quotes containing the word geometry:
“I am present at the sowing of the seed of the world. With a geometry of sunbeams, the soul lays the foundations of nature.”
—Ralph Waldo Emerson (1803–1882)
“... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. It’s not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, I’m able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)
“The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.”
—J.G. (James Graham)