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arxiv: 1607.08125 · v2 · pith:PQRAGKOYnew · submitted 2016-07-27 · 🧮 math.MG

Hunting for reduced polytopes

classification 🧮 math.MG
keywords polytopesreducedeuclideanspaceanswerscorrectingdimensionalexample
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By correcting an example by Polyanskii, we show that there exist reduced polytopes in three-dimensional Euclidean space. This partially answers the question posed by Lassak on the existence of reduced polytopes in $d$-dimensional Euclidean space for $d\geq 3$.

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