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Not an answer; just a tangential remark. In general it is not an easy problem to reconstruct a polygon from various sets of data. If the data does not uniquely determine the polygon, it would not be easy to "generate a credible figure," to quote the OP, compatible with the partial reconstruction. For example, the paper below reconstructs a polygon from its ...


To supplement Sue's great suggestion: Another advantage of the artofproblemsolving.com is that it provides a whole lot of support for students like you, whether or not you purchase or use the textbooks available there. You'll find, e.g., see AoPS Community, which provide a number of online forums in which all students can participate, ask questions, e.g.,...

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