@article {MATHEDUC.06617766,
author = {Bosch, Robert},
title = {Regular polygons and polynomial curves.},
year = {2015},
journal = {Mathematics Competitions},
volume = {28},
number = {2},
issn = {1031-7503},
pages = {16-24},
publisher = {AMT Publishing, Australian Mathematics Trust, University of Canberra, Canberra},
abstract = {From the text: In this note, we prove that only the square and the equilateral triangle can have all their vertices on a cubic. From the study of the polynomial $p(x)=x^8+3bx^6+3b^2x^4+(b^3+b)x ^2+(b^2+1)$, where $b$ is a real parameter, we find that we can inscribe at most two squares in a cubic, showing examples in both cases. Finally, we show that every regular polygon can be inscribed in a polynomial curve.},
msc2010 = {I20xx},
identifier = {2016e.00812},
}