Region (geometry)
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In geometry, a region is a subsets of space. One-dimensional space (1D), 2D, and 3D regions form curves, surfaces, and solid figures, respectively. The amount or extent of space are quantified by scalars such as length, area, and volume, respectively.[1] Special cases of flat regions in 1D and 2D are line segments and faces, respectively. Shape denotes the boundary of a region. Locus is a region satisfying a given condition.
See also[edit]
- Neighbourhood (mathematics)
- Interval (mathematics)
- Jordan curve theorem
- Point (geometry)
- Riemann mapping theorem
- Simple polygon
- Surface patch
References[edit]
- ↑ Stein, S.K. (2016). Calculus in the First Three Dimensions. Dover Books on Mathematics. Dover Publications. p. 583. ISBN 978-0-486-80114-8. Retrieved 2022-01-03.
In mathematics, the terms length, area, and volume always refer to numbers. To name geometric objects or regions, we use terms such as plane set, surface, and solid. Throughout the text we assume that the curves we deal with have length, that the surfaces have area, and that the solids have volume.
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