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What do I call a 2d surface similar to a polygon, but more general in the sense that edges can be circular arcs as well?

The generalized name should allow for:

  • Arbitrary number of countable edges
  • Edge lengths may vary
  • Arcs and Lines can be used in any combination
  • Surface may be concave
Jasper Schellingerhout
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  • I've run into this shape before with respect to the linked "Conveyor Belt Alphabet". Haven't figured out what it's called. https://pdfs.semanticscholar.org/cb6f/f99a535f2172d2deea327b4199c72564330f.pdf?_ga=1.17714685.534639534.1493068636 – Larry B. Apr 24 '17 at 21:17
  • @LarryB. Nice one, however you always have arcs following lines. Which means its not quite general enough – Jasper Schellingerhout Apr 24 '17 at 21:19

1 Answers1

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Circular-arc polygons. E.g.,

            Def

Wang, Z. J., Lin, X., Fang, M. E., Yao, B., Guan, H., & Guo, M. (2012). RE2L: An Efficient Output-sensitive Algorithm for Computing Boolean Operation on Circular-arc Polygons. arXiv:1211.0729.

            Fig5

Same definition used in other papers, e.g.,

Howell, Louis H. "Numerical conformal mapping of circular arc polygons." Journal of computational and applied mathematics 46.1-2 (1993): 7-28.

Joseph O'Rourke
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