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The early Renaissance artist Albrecht Durer published a book on geometry afew years before he died. This was intended to be a guide for young craftsmenand artists giving them both practical and mathematical tools for their trade.In the second part of that book, Durer gives compass and straightedgeconstructions for the 'regular' polygons from the triangle to the 16-gon. Wewill examine each of these constructions using the original 1525 text anddiagrams along with a translation. Then we will use Mathematica to carry outthe constructions which are only approximate, in order to compare them with theregular case. In Appendix A, we discuss Durer's approximate trisection methodfor angles, which is surprisingly accurate. Appendix B outlines what is knowncurrently about compass and straightedge constructions and includes two elegant19th century constructions.

The Polygons of Albrecht Durer -1525