Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Covering Folded Shapes   Can folding a piece of paper flat make it larger? We explore whether a shape
$S$ must be scaled to cover a flat-folded copy of itself. We consider both
single folds and arbitrary folds (continuous piecewise isometries $S\rightarrow
R^2$). The underlying problem is motivated by computational origami, and is
related to other covering and fixturing problems, such as Lebesgue's universal
cover problem and force closure grasps. In addition to considering special
shapes (squares, equilateral triangles, polygons and disks), we give upper and
lower bounds on scale factors for single folds of convex objects and arbitrary
folds of simply connected objects.

18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn