He submitted his first paper on this topic then, encouraged by Legendre and Malus, he submitted a further paper on polygons and polyhedra in 1812. Cauchy felt that he had to return to Paris if he was to make an impression with mathematical research.
Siya na isinumite ng kanyang unang papel sa paksang ito at pagkatapos, hinihikayat sa pamamagitan ng Legendre at Malus, siya na isinumite ng isang karagdagang papel sa polygons at polyhedra sa 1812. Cauchy nadama na niya upang bumalik sa Paris kung siya ay upang gumawa ng isang impression sa matematika research.