ISO TC 211 Geographic information/Geomatics

# ISO/TC 211 Geolexica

## Concept “n-simplex <geometry, topology>”

Term ID

2075

source

ISO 19107:2019, (E), 3.66

eng

### n-simplex <geometry, topology>

convex hull of n+1 points in general position in a space of dimension at least n, or a topologically isomorphic image of such a geometry

Note to entry: An n-simplex is n-dimensional, and is topological isomorphic to an n-disc. A 0-simplex is a point. A 1-simplex is a curve (usually a line) with two 0-simplexes (points) on its boundary; a 2-simplex is a triangular surface with three 1-simplices on its boundary. In general, an n-simplex boundary will have n (n−1)-simplexes. An n-simplex and an n-disc are topologically isomorphic. The boundary of an n-simplex is isomorphic to an (n−1)-sphere. In all cases, the number prefix represents the topological dimension of the object.

ORIGIN: ISO/TC 211 Glossary of Terms - English (last updated: 2020-06-02)

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info

• status: valid
• classification: preferred
• date accepted: 2019-12-02

Review

last review performed:
(2019-12-02)
status:
final
decision:
accepted
decision event:
Normal ISO processing
notes:
Publication of document ISO 19107:2019(E)