We present a multidimensional version of the Three Gap Theorem of Steinhaus, proving that the number of the so-called primitive arcs is bounded in any dimension.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-9, author = {C. Cobeli and G. Groza and M. V\^aj\^aitu and A. Zaharescu}, title = {Generalization of a theorem of Steinhaus}, journal = {Colloquium Mathematicae}, volume = {91}, year = {2002}, pages = {257-266}, zbl = {1006.11040}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-9} }
C. Cobeli; G. Groza; M. Vâjâitu; A. Zaharescu. Generalization of a theorem of Steinhaus. Colloquium Mathematicae, Tome 91 (2002) pp. 257-266. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-2-9/