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Editorial Team
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Editorial Team
Asked: May 16, 20262026-05-16T07:08:45+00:00 2026-05-16T07:08:45+00:00

How to link four points to a convex polygon? I mean how to identify

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How to link four points to a convex polygon? I mean how to identify the order of these four points.

Thanks.

Zhong

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  1. Editorial Team
    Editorial Team
    2026-05-16T07:08:46+00:00Added an answer on May 16, 2026 at 7:08 am

    The atan2() method is handy for this, and is found in most languages.

    atan2(y,x) and converts rectangular coordinates (x,y) to the angle theta from the polar coordinates (r,theta).

    Given 4 points, find their average. Then calculate the four (x,y) vectors obtained by subtracting the average from each of the four points.

    For each of these (x,y) vectors, calculate the angle θ = atan2(y,x). θ will be between -π/2 and π/2.

    Sort the θ’s. This will give you the order of the points, in clockwise order.

    This only works for convex quadrilaterals.

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