On rainbow isosceles \(n\)-simplexes (Q2161992)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On rainbow isosceles \(n\)-simplexes |
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On rainbow isosceles \(n\)-simplexes (English)
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5 August 2022
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The paper is dedicated to geometric problems connected with various colorings of all points of an Euclidean space \(\mathbb{R}^n\) for certain types of \((n+1)\)-colorings of space. It is proved that there are continuum many ``rainbow'' isosceles \(n\)-simplexes in \(\mathbb{R}^n\).
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admissible \((n+1)\)-coloring of \(\mathbb{R}^n\)
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isosceles \(n\)-simplex
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rainbow \(n\)-simplex
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valuation
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Sperner's lemma
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