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The anticlockwise or counterclockwise direction. Widdershins (sometimes withershins, widershins or widderschynnes) is a term meaning to go counter-clockwise, anti-clockwise, or lefthandwise, or to walk around an object by always keeping it on the left.
For example, the daily rotation of the Earth is clockwise when viewed from above the South Pole, and counterclockwise when viewed from above the North Pole (considering "above a point" to be defined as "farther away from the center of earth and on the same ray"). The shadow of a horizontal sundial in the Northern Hemisphere rotates clockwise
Sunwise, sunward or deasil (sometimes spelled deosil), are terms meaning to go clockwise or in the direction of the sun, as seen from the northern hemisphere. The opposite term is widdershins (Lowland Scots), or tuathal (Scottish Gaelic). [1]
A torus is an orientable surface The Möbius strip is a non-orientable surface. Note how the disk flips with every loop. The Roman surface is non-orientable.. In mathematics, orientability is a property of some topological spaces such as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise" and "anticlockwise". [1]
This definition relies on the fact that every simple closed curve admits a well-defined interior, which follows from the Jordan curve theorem. The inner loop of a beltway road in a country where people drive on the right side of the road is an example of a negatively oriented ( clockwise ) curve.
For example, the angle of the 3 P.M. hour-line would equal the arctangent of cos L, since tan 45° = 1 . The shadow moves counter-clockwise on a south-facing vertical dial, whereas it runs clockwise on horizontal and equatorial north-facing dials.
For example, using the convention below, the matrix ... 180°, and 270° counter-clockwise rotations. A 180° rotation (middle) followed by a positive 90° rotation ...
Example: Mathematically, the vector ( (), ()) has a positive frequency of +1 radian per unit of time and rotates counterclockwise around a unit circle, while the vector ( (), ()) has a negative frequency of -1 radian per unit of time, which rotates clockwise instead.