WHICH INSCRIBED SPHERE OF PYRAMIDS IS MAXIMAL
Yasuhiko Kamiyama, 靖彦 神山 · Institutional Repositories DataBase (IRDB) · 2014
Consider the following question: In a circular cone, with bus line having length 1, the inscribed sphere is to be maximal. How much is the radius of the base circle? It is easy to see that the answer is (√-1)/2, which is interesting because this is the reciprocal of the golden section. In this paper, we generalize the question to the case that the base circle is generalized to regular polygons.