Turn (geometry)

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Turn (geometry)

A turn is a unit of plane angle, equal to 360° or 2p radian

Radian

The radian is a unit of plane angle, equal to 180/pi Degree , or about 57.2958 degrees, or about 57?17'45?. It is the standard unit of angular measurement in all areas of mathematics beyond the elementary level....
s. As an angular unit it is mainly useful for large angle

Angle

In geometry and trigonometry, an angle is the figure formed by two Ray sharing a common endpoint, called the vertex of the angle . The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide...
s, such as in connection with coil

Coil

A coil is a series of wiktionary:loops. A coiled coil is a structure where the coil itself is in turn also looping....
s and rotating

Rotation

A rotation is a movement of an object in a circular motion. A two-dimensional object rotates around a center of rotation. A Three-dimensional space object rotates around a line called an axis....
objects. See also winding number

Winding number

In mathematics, the winding number of a closed curve in the plane around a given point is an integer representing the total number of times that curve travels counterclockwise around the point....
.

A turn is also named as revolution or complete rotation or cycle.

The British astronomer and science writer Sir Fred Hoyle (1915 - 2001)

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Encyclopedia

A turn is a unit of plane angle, equal to 360° or 2p radian

Radian

Angle

Coil

A coil is a series of wiktionary:loops. A coiled coil is a structure where the coil itself is in turn also looping....
s and rotating

Rotation

Winding number

Circle

A circle is a simple shape of Euclidean geometry consisting of those point in a plane which are the same distance from a given point called the center....
, or turn into 1000 milliturns, with each milliturn corresponding to an angle of 21' 36", or 0.36 degrees.

=Examples of use=

Turn is used in complex dynamics

Complex dynamics

Complex dynamics the study of dynamical systems for which the phase space is a complex manifold. Complex analytic dynamics specifies more precisely that it is analytic functions whose dynamics it is to study....
for measure of external

External ray

External ray is a curve that run from Point at infinity toward Julia set or Mandelbrot set.External rays are used in complex analysis, particularly in complex dynamics and geometric function theory,...
and internal angles

Conversion of some common angles

Units	Values
Revolutions Turn (geometry) A turn is a unit of plane angle, equal to 360? or 2p radians. As an angular unit it is mainly useful for large angles, such as in connection with coils and rotation objects....	0	1/12	1/8	1/6	1/4	1/2	3/4	1
Degrees Degree (angle) A degree , usually denoted by ? , is a measurement of plane angle, representing 1/360 of a Turn ; one degree is equivalent to p/180 radians....	0°	30°	45°	60°	90°	180°	270°	360°
Radians Radian The radian is a unit of plane angle, equal to 180/pi Degree , or about 57.2958 degrees, or about 57?17'45?. It is the standard unit of angular measurement in all areas of mathematics beyond the elementary level....	0
Grads Grad (angle) The grad is a unit of plane angle, equivalent to of a full circle, dividing a right angle in 100. It is also known as gon, grade, or gradian ....	0^g	33?^g	50^g	66?^g	100^g	200^g	300^g	400^g