Construction of Regular 257-Gon

From ProofWiki
Jump to navigation Jump to search


It is possible to construct a regular polygon with $257$ sides) using a compass and straightedge construction.


From Construction of Regular Prime $p$-Gon Exists iff $p$ is Fermat Prime it is known that this construction is possible.

Historical Note

It was proved by Carl Friedrich Gauss in $1801$ that the construction is possible.

The first actual constructions of a regular $257$-gon were given by Magnus Georg Paucker in $1822$ and Friedrich Julius Richelot in $1832$.