Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super Compaction and Pluripotent Shape Transformation via Algorithmic
  Stacking for 3D Deployable Structures   Origami structures enabled by folding and unfolding can create complex 3D
shapes. However, even a small 3D shape can have large 2D unfoldings. The huge
initial dimension of the 2D flattened structure makes fabrication difficult,
and defeats the main purpose, namely compactness, of many origami-inspired
engineering. In this work, we propose a novel algorithmic kirigami method that
provides super compaction of an arbitrary 3D shape with non-negligible surface
thickness called "algorithmic stacking". Our approach computationally finds a
way of cutting the thick surface of the shape into a strip. This strip forms a
Hamiltonian cycle that covers the entire surface and can realize transformation
between two target shapes: from a super compact stacked shape to the input 3D
shape. Depending on the surface thickness, the stacked structure takes merely
0.001% to 6% of the original volume. This super compacted structure not only
can be manufactured in a workspace that is significantly smaller than the
provided 3D shape, but also makes packing and transportation easier for a
deployable application. We further demonstrate that, the proposed stackable
structure also provides high pluripotency and can transform into multiple 3D
target shapes if these 3D shapes can be dissected in specific ways and form a
common stacked structure. In contrast to many designs of origami structure that
usually target at a particular shape, our results provide a universal platform
for pluripotent 3D transformable structures.

25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn