Koordinatenmodell

The Koordinatenmodell, or coordinate model, is a fundamental concept in various fields, particularly in mathematics, physics, and computer graphics. It describes a system for locating points in space using numerical values called coordinates. The most common example is the Cartesian coordinate system, which uses perpendicular axes (typically x, y, and z) to define positions.

In a two-dimensional Cartesian coordinate system, a point is identified by an ordered pair (x, y), where 'x' represents the distance along the horizontal axis and 'y' represents the distance along the vertical axis. For three-dimensional space, a point is represented by an ordered triple (x, y, z). The origin of the system is the point where all axes intersect, usually designated as (0, 0) or (0, 0, 0).

The choice of coordinate system depends on the problem being addressed. For example, polar coordinates are often used in physics for rotational symmetry, describing a point by its distance from a central point (radius) and an angle. In computer graphics, various coordinate systems are employed, including screen coordinates, world coordinates, and camera coordinates, to render images and scenes accurately. The underlying principle remains the same: using a set of numbers to uniquely identify a location within a defined space.