An application of differential geometry of curves and/or surfaces?

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I need to expose a "simple" application of the differential geometry of curves and surfaces for a project in class, but can't find any good source to search one. Can anyone help me with a topic or a suggestion to search?

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You may search for

  • Vertical curves
  • Summit curves
  • Reverse curves
  • Road curve
  • Compound curves

For surfaces, you may see This