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In video games using procedural world generation, the map seed is a (relatively) short number or text string which is used to procedurally create the game world ("map"). "). This means that while the seed-unique generated map may be many megabytes in size (often generated incrementally and virtually unlimited in potential size), it is possible to reset to the unmodified map, or the unmodified ...
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 .
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.
3D visualization of a sphere and a rotation about an Euler axis (^) by an angle of In 3-dimensional space, according to Euler's rotation theorem, any rotation or sequence of rotations of a rigid body or coordinate system about a fixed point is equivalent to a single rotation by a given angle about a fixed axis (called the Euler axis) that runs through the fixed point. [6]
A texture map [5] [6] is an image applied (mapped) to the surface of a shape or polygon. [7] This may be a bitmap image or a procedural texture . They may be stored in common image file formats , referenced by 3D model formats or material definitions , and assembled into resource bundles .
In a binary search tree, a left rotation is the movement of a node, X, down to the left.This rotation assumes that X has a right child (or subtree). X's right child, R, becomes X's parent node and R's left child becomes X's new right child.
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 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.