Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible...

case of metric spaces, (n + 1)-dimensional balls have n-dimensional boundaries, permitting an inductive definition based on the dimension of the boundaries...

three-dimensional Euclidean space, that is, the Euclidean space of dimension three, which models physical space. More general three-dimensional spaces are...

five-dimensional space is a space with five dimensions. In mathematics, a sequence of N numbers can represent a location in an N-dimensional space. If...

Six-dimensional space is any space that has six dimensions, six degrees of freedom, and that needs six pieces of data, or coordinates, to specify a location...

finite-dimensional if the dimension of V {\displaystyle V} is finite, and infinite-dimensional if its dimension is infinite. The dimension of the vector space V {\displaystyle...

in the absence of gravitation. It combines inertial space and time manifolds into a four-dimensional model. The model helps show how a spacetime interval...

A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described...

Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's Elements, it was the three-dimensional space...

In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several...

of four-dimensional games—specifically, a list of video games that attempt to represent four-dimensional space. video games portal Fourth dimension (disambiguation)...

are one-dimensional spaces but are usually referred to by more specific terms. Any field K {\displaystyle K} is a one-dimensional vector space over itself...

enantiomorphic pairs of three-dimensional space groups P31 and P32, P4122 and P4322. Starting from four-dimensional space, point groups also can be enantiomorphic...

definitive source regarding 3-dimensional space groups is the International Tables for Crystallography Hahn (2002). Space groups in 2 dimensions are the...

also refer to a seven-dimensional manifold such as a 7-sphere, or a variety of other geometric constructions. Seven-dimensional spaces have a number of special...

dimension is an infinite cardinal. Finite-dimensional vector spaces occur naturally in geometry and related areas. Infinite-dimensional vector spaces...

the real world four-dimensional space geometrically by projecting that space into a five-dimensional superspace with the fifth dimension corresponding...

primarily refers to: 4-dimensional spacetime: three-dimensional space of length, width, and height, plus time Four-dimensional space It may also refer to:...

{\displaystyle n} ⁠-dimensional generalization of the ⁠ 1 {\displaystyle 1} ⁠-dimensional circle and ⁠ 2 {\displaystyle 2} ⁠-dimensional sphere to any non-negative...

the symbol −121. The triangular prism exists as cells of a number of four-dimensional uniform 4-polytopes, including: King (1994), p. 113. King (1994), p...

in n-dimensional space. When n = 8, the set of all such locations is called 8-dimensional space. Often such spaces are studied as vector spaces, without...

visualize rotations in space. The main use for planes of rotation is in describing more complex rotations in four-dimensional space and higher dimensions...

mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions...

space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum...

four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges...

perhaps best known for his foundational work describing space and time as a four-dimensional space, now known as "Minkowski spacetime", which facilitated...

another dimension. The fourth dimension has been the subject of numerous fictional stories. List of four-dimensional games De Stijl Five-dimensional space Four-dimensional...

mathematics, the group of rotations about a fixed point in four-dimensional Euclidean space is denoted SO(4). The name comes from the fact that it is the...

it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance...

events Four-dimensional space, the concept of a fourth spatial dimension Spacetime, the unification of time and space as a four-dimensional continuum Minkowski...