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In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .
Conceptual maps are cartographic visualizations of ideas and concepts. These maps do not attempt to correspond to anything physically real but are instead meant to display an idea in a cartographic medium. Matthaus Seutter's The Attack of Love is an example of a battle map used as an allegory for winning someone in love.
Then rotate the given axis and the point such that the axis is aligned with one of the two coordinate axes for that particular coordinate plane (x, y or z) Use one of the fundamental rotation matrices to rotate the point depending on the coordinate axis with which the rotation axis is aligned.
The history of south-up map orientation as political statement can be traced back to the early 1900s. Joaquín Torres García, a Uruguayan modernist painter, created one of the first maps to make a political statement related to north-south map positions entitled "América Invertida". "Torres-García placed the South Pole at the top of the ...
The angle θ and axis unit vector e define a rotation, concisely represented by the rotation vector θe.. In mathematics, the axis–angle representation parameterizes a rotation in a three-dimensional Euclidean space by two quantities: a unit vector e indicating the direction of an axis of rotation, and an angle of rotation θ describing the magnitude and sense (e.g., clockwise) of the ...
The rotation is acting to rotate an object counterclockwise through an angle θ about the origin; see below for details. Composition of rotations sums their angles modulo 1 turn, which implies that all two-dimensional rotations about the same point commute. Rotations about different points, in general, do not commute.
A two-dimensional Poincaré section of the forced Duffing equation. In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace, called the Poincaré section, transversal to the flow of the system.
In Hexic, the player tries to rotate hexagonal tiles to create certain patterns. The game is available on Windows, Xbox 360, Windows Phone and the web. Many clones are available for Android and iOS. The game was designed by Alexey Pajitnov, best known as the creator of Tetris.