Is it true, that a path connecting two opposite points (i.e. such that the segment joining them passes through the centre of mass of the cube) on the surface of the $d$-dimensional unit cube is(with $d>1$) is not shorter than $2$?
removed deprecated (geometry) tag - see the tag info: http://mathoverflow.net/tags/geometry/info; if there are some other geometry-related tags which are suitable, please use some of them instead
Martin Sleziak
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Post Reopened by Fedor Petrov, Joseph O'Rourke, Arseniy Akopyan, Igor Rivin, Jan-Christoph Schlage-Puchta
Post Closed as "Not suitable for this site" by Mikhail Katz, Sebastian Goette, R.P., Michael Albanese, Dima Pasechnik
