# Tverberg'S Theorem

### (Theory) ###### Theory since 1966 ## What is Tverberg's theorem?

In discrete geometry, Tverberg's theorem, first stated by Helge Tverberg , is the result that sufficiently many points in d-dimensional Euclidean space can be partitioned into subsets with intersecting convex hulls. Specifically, for any set of points there exists a point x (not necessarily one of the given points) and a partition of the given points into r subsets, such that x belongs to the convex hull of all of the subsets. The partition resulting from this theorem is known as a Tverberg partition.

### Technology Types

convex hullgeometric transversal theorypropositionstatementtheoremtheorems in convex geometrytheorems in discrete geometrytheory

### Synonyms

Tverberg partitionTverberg partition theoremTverberg theoremTverberg's partition theorem

### Translations

Satz von Tverberg (de)Теорема Тверберга (ru)

## Tech Info

Source: [object Object]
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