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A pleated surface, in the context of geometry and materials science, generally refers to a surface that has been designed with folds or pleats, resembling the folds of fabric in clothing. These surfaces exhibit a series of parallel ridges or valleys that create an aesthetically appealing texture and can serve both functional and decorative purposes. Pleated surfaces can be found in various applications, including: 1. **Fashion Design**: In clothing, pleating is a technique used to create texture and volume.

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  1. 3-manifolds
  2. Geometric topology
  3. Topology
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