Two-dimensional space

A space in which each position is specified by two independent coordinates. A plane is the standard example, though two-dimensional spaces can also be curved.

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Coordinate system: A rule for assigning numbers or other values to positions in a space. Two independent coordinate values locate each point in a plane.
Plane (geometry): A flat surface extending without bound in two independent directions. It is the standard flat example of a two-dimensional space.
Two-dimensional Euclidean quantum field theory: A quantum field theory formulated on a two-dimensional Euclidean space. It uses the plane as a setting for field dynamics and statistical models.
One-dimensional space: A space in which each position requires one independent coordinate. It lacks the second independent direction that defines a plane.
Cartesian coordinate system: A coordinate system that locates points using perpendicular axes and signed distances from them. Its two perpendicular axes give the familiar coordinates of a plane.
Manifold: A space that locally resembles Euclidean space, even if its global shape differs. A two-dimensional space can be a surface that looks planar only nearby.
Cellular automaton: A discrete system whose cells update according to local rules. A two-dimensional grid supports spatial patterns and neighborhood-based updates.
Three-dimensional space: A space in which each position requires three independent coordinates. Its additional independent direction distinguishes volume from planar extent.
Dimension: The number of independent parameters needed to specify a position in a space. Two-dimensional space is defined by needing two independent parameters.
Metric space: A set equipped with a distance function satisfying the metric axioms. A metric adds measurable distances to points in a two-dimensional space.