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One-dimensional space
In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 1, the set of all such locations is called a one-dimensional space.
One-dimensional geometry
Polytopes
The only regular polytope in one dimension is the line segment, with the Schläfli symbol { }.
Hypersphere
The hypersphere in 1 dimension is a pair of points, sometimes called a 0-sphere as its surface is zero-dimensional. Its length is
L = 2r
where r is the radius.
Coordinate systems in one-dimensional space
Main article: Coordinate system
The most popular coordinate systems are the number line and the angle.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
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