I think the question comes down to that of whether there is some difference between the $5$-gon and $17$-gon such that the $5$-gon can be constructed with geometry alone, but the $17$ …

2019年11月8日 · I am currently very interested in the derivation of the constructability of the 17-gon by Carl Friedrich Gauß.

2014年1月1日 · 4-dimensional analogue of centered polygonal numbers. Also number of regions created by sides and diagonals of n-gon in general position. The latter is what you've been …

2018年12月23日 · The point of that last equation is that $$\sum_{k=1}^{16} \epsilon_k = -1.$$ This follows most easily from the fact that the sum of all the $17$ th roots of unity is $0$, and …

2019年6月3日 · First of all a picture. The given $17$-gon has in my notation the vertices $0,1,2,\dots,16$.

2024年10月3日 · (Note: All images except the $13$-gon are from Antonia Buitrago's 2007 article "Polygons, Diagonals, and the Bronze Mean".) I. The golden ratio We are familiar …

2019年4月2日 · Gauss found an unexpected link between contructible polygons and prime numbers. Gauss was so pleased with this result that he requested that a regular 17-gon be …

And since perpendicular radii have been constructed, the $20$-gon follows just as easily. Inscribing a regular $17$-gon in a given circle also entails constructing perpendicular radii, one …

Start the count counting the different polygons we can build from a vertex. That is, if we choose a vertex in a regular $17$-gon then we can build from here …

If they are all from the same book, would I cite each one individually, or cite all of them at the end,after they have all been proven (they appear concurrently in the paper)? Additionally, if I …