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math.MG2001
An extremum property characterizing the n-dimensional regular cross-polytope
Wlodzimierz Kuperberg
In the spirit of the Genetics of the Regular Figures, by L. Fejes Tóth, we prove the following theorem: If points are selected in the -dimensional Euclidean ball so t…
math.MG1998
Almost-tiling the plane by ellipses
Krystyna Kuperberg, Włodzimierz Kuperberg, Jiří Matoušek +1
For any delta > 1 we construct a periodic and locally finite packing of the plane with ellipses whose delta-enlargement covers the whole plane. This answers a question of Imre Bárá…