Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hunting for reduced polytopes   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 $d\geq 3$.

27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga