Problem A. 589. (April 2013)
A. 589. Does there exist such a convex polyhedron that can be placed in a sphere with unit radius, it has at least 2013 vertices, it has no edge shorter than 1/2, and it has no triangle face?
Deadline expired on 10 May 2013.
Sorry, the solution is available only in Hungarian. Google translation
Megoldás. Létezik ilyen poliéder, lásd.:
Gyenes Zoltán: A small convex polytope with long edges, many vertices and quadrangle faces only.
Annales Univ. Sci. Budapest., Sec. Math. 46 (2003), 43–45.
(A cikk alapja Gy.Z. megoldása a A. 232. feladatra.)
|0 student sent a solution.|