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Questions on the application of Mathematica to geometric problems. You might also consider adding the [graphics] tag, if appropriate.
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How could I generate random convex polygons of area 1?
How could you random convex polygons where the points of the graph
$A(x_1,y_1) , B(x_2,y_2), ... $
come out, hopefully in rational format (a/b) in such a way that the total area of the polygon is al …