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Question:

Is there already a name for polylines in the euclidean plane, that have the property, that no interior of none the triangles, defined by one of the polyline's endpoints and a non-adjacent edge, is not intersected by the polyline?


I am tempted to call that property "bipolar monotonicity" if no other name has been coined yet.

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I haven't seen this named, but you might include either "visibility" or "star" in your name, as it is roughly doubly star-shaped. Perhaps bipolar star?

          2Star

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  • $\begingroup$ Good idea to introduce binary solar systems into computational geometry. $\endgroup$
    – Manfred Weis
    May 10, 2017 at 21:04
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    $\begingroup$ Thinking a bit about your suggestion, I guess, I like "bipolar star-shaped" best $\endgroup$
    – Manfred Weis
    May 10, 2017 at 23:34

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