Basic Examples (3) 

Find the vertices of a reverse midpoint polygon (rvp) for a given list of midpoints:

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Check that the midpoints of rvp match the given list of midpoints:

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Show both:

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Repeat a few more times:

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For a square, find one of the many reverse midpoint polygons:

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Show it:

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Try a skew quadrilateral:

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One of many possible polylines is returned with the given midpoints. For any solution, the ends of the polyline are separated by a vector four times the magnitude of the vector between diagonal midpoints:

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Scope (2) 

Find one of the many solutions for the regular hexagon:

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Find one of many polylines with a given set of six midpoints:

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Check that the polyline ends have 6 times the separation of the even and odd centroids:

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Show the polyline with the displacement between the even and odd centroids:

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Neat Examples (2) 

Find a Varignon-balanced extension for a pentagon:

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Find the ReverseMidpointPolygon:

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Show it:

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If an even number of points is even slightly unbalanced, a polyline is returned instead:

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Find a polygon with midpoints on an octagon:

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Check that the polyline ends have 8 times the separation of the even and odd centroids:

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Show the polyline with the displacement between the even and odd centroids:

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