Borsuk's Problem in a Special Normed Space
Changqing Xu, Liping Yuan · 东北数学：英文版 · 2004
Borsuk's problem is a famous problem in combinatorial geometry. It deals with the problem of partitioning a set into parts of smaller diameter. The problem was posed by the well-known Polish mathematician K. Borsuk in 1933. Many results have been obtained since then. In this paper, we discuss the Borsuk's problem in the normed space R2 with regular hexagon as its unit sphere E and obtain some new results.