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two-dimensional space
Sign in to saveAlso known as 2D, bi-dimensional space, two-dimensionality, plane, 2-space
geometric model of the planar projection of the physical universe
Two-dimensional space is a geometric model that represents the physical universe as a flat plane with just two dimensions—like length and width. This simplified model is useful for understanding and visualizing how things work in a reduced form before dealing with the complexity of the three-dimensional world we actually live in.
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Euclidean space has parallel lines which extend infinitely while remaining equidistant. In non-Euclidean spaces, lines perpendicular to a traversal either converge or diverge.
A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described with two coordinates or they can move in two independent directions. Common two-dimensional spaces are often called planes (especially the Euclidean plane), or, more generally, surfaces. These include analogs to physical spaces, like flat planes, and curved surfaces like spheres, cylinders, and cones, which can be infinite or finite. Some two-dimensional mathematical spaces are not used to represent physical positions, like an affine plane or complex plane.