Mathematical and Physical Journal
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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?

(5 pont)

Deadline expired on May 10, 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.)


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Problems in Mathematics of KöMaL, April 2013