For whatever reason (probably just to see if I could), I made a computer drawing of the plane. Boy, the complex curves were really difficult. Probably not, as they are just distorted circles and ellipses joined in funny ways. I do wish TurboCAD had ways to smooth arc & arc/line joins.
If you would like to check it out (and hopefully build one for yourself), you can download the TurboCAD drawing (30K) or a one page PDF (170K; it is the full size drawing of that thumbnail over there –>).