We present a very short survey of known results and many new estimates and results on the maximum number of points that can
be chosen in the n-dimensional unit cube so that every distance between them is at least 1.
It is shown that each separable metric, not totally disconnected, topological space admits a superextension homeomorphic to the Hilbert cube. Moreover, for simple spaces, such as the closed unit interval or then-spheresSn, we give easily described subbases for which the corresponding superextension is homeomorphic to the Hilbert cube.
Two-and three-dimensional tilings based on a model of the six-dimensional cube , KoG Scientific and Professional Journal of the Croatian Society for Geometry and Graphics , No. 10 , 2006 , pp. 19 – 25
We give a very short survey of the results on placing of points into the unit n-dimensional cube with mutual distances at least one. The main result is that into the 5-dimensional unit cube there can be
placed no more than 40 points.