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Sub-singularities for shaping thin sheets
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DOI：10.1140/epjs/s11734-025-01903-6.png)
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Abstract
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The principles behind the sharp, singular structures in a crumpled sheet are well understood. Here we discuss more general ways of exploiting such sharp structures to control the shape of a sheet by deforming or forcing it elsewhere. Often, the induced shape leads to further sharp structures—“sub-singularities.” Though weaker and softer than the primary singularities, they nevertheless provide robust ways of shaping a sheet. In simple cases, we understand the reason for these and their strength. This paper surveys a broad range of other sub-structure phenomena and reports recent progress in understanding some of them.
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