Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Edge Extrusion-Approach to Generate Extruded Miura-Ori and Its Double
  Tiling Origami Patterns   This paper proposes a family of origami tessellations called extruded
Miura-Ori, whose folded state lies between two parallel planes with some faces
on the planes, potentially useful for folded core materials because of face
bonding. An extruded Miura-Ori is obtained by cutting Miura-Ori apart along the
edges and face diagonals before inserting the extrusion of the section edges.
We compute the extrusion direction to obtain a valid extruded Miura-Ori. The
extruded Miura-Ori usually has three valid states. We analyse the third state
(final folded state) in depth to show that a continuous family of parameters
can produce origami tessellations that can completely tile the top and bottom
planes.

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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc