The regular heptagon


  • Sotìris Goudouvàs 1st Lyceum of Argyroupolis


Normal heptagon, geometric construction, cyclotomy, neusis


In the present work we study the construction of the regular heptagon, i.e. the division of the circle into seven equal parts. We prove that the construction with the ruler and compass is impossible and we give a construction with neusis attributed to Archimedes.

Author Biography

Sotìris Goudouvàs, 1st Lyceum of Argyroupolis

Sotiris Goudouvas obtained a degree in mathematics from the University of Ioannina (Greece) and later obtained a degree in Civil Engineering from EM of Athens.
He holds two Master's Degrees in Teaching Methodology and History of Mathematics from the University of Athens and Modern and Contemporary History from Panteion University of Athens.
He is the author of the book Geometric Routes (2015) and has written various articles in mathematical journals on the History of Mathematics and Geometry.
Is a researcher in didactics of Geometry.
He works as a Mathematics teacher at the 1st Lyceum of Argyroupolis (Greece).


Gountouvàs S., (2017). Geometric Routes, Athens.

Sidiropoulos N., (1993). The regular heptagon and Archimedes, Thessaloniki.

Stamatis E., (1961). Archimedes, On the regular Heptagon, Bulletin EME, Athens, 9(2), 9-24.




How to Cite

Goudouvàs, S. (2020). The regular heptagon. EDiMaST: Experiences of Teaching With Mathematics, Sciences and Technology, 5, 689–695. Retrieved from



Experiences & Research Articles