Construction of Regular 257-Gon/Historical Note

Historical Note on Construction of Regular $257$-Gon

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 $1832$.

Sources

• 1822: Magnus Georg Paucker: Das regelmäßige Zweyhundersiebenundfunfzig-Eck im Kreise (Jahresverhandlungen der Kurländischen Gesellschaft für Literatur und Kunst Vol. 2: p. 188)

• 1832: Friedrich Julius Richelot: De resolutione algebraica aequationis $x^{257} = 1$, sive de divisione circuli per bisectionem anguli septies repetitam in partes $257$ inter se aequales commentatio coronata (J. Reine Angew. Math. Vol. 9: pp. 146 – 358)

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $257$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $257$