Minimum-cardinality triangulations of the \(d\)-cube for \(d=5\) and \(d=6\) (Q685587)
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scientific article; zbMATH DE number 417457
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimum-cardinality triangulations of the \(d\)-cube for \(d=5\) and \(d=6\) |
scientific article; zbMATH DE number 417457 |
Statements
Minimum-cardinality triangulations of the \(d\)-cube for \(d=5\) and \(d=6\) (English)
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17 March 1994
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For the \(d\)-cube \(I^ d\) the main results in this paper are: (A) Any triangulation of \(I^ 5\) contains at least 67 simplices, and (B) Any corner-slicing triangulation of \(I^ 6\) contains at least 324 simplices. The obtained number in (B) is the best possible one, as shown by an example.
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\(d\)-cube
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simplex
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vertex
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face
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triangulation
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corner-slicing
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0.83443886
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0.8320963
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0.82692146
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0.82517624
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0.8232038
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