A Note on Masspartitions by Hyperplanes
Abstract
A triple of positive integers (d,h,m) is admissible if for any m given masses in Rd there exist h hyperplanes that cut each of these masses into 2h equal pieces. We present an elementary reduction which combined with results by Ramos (1996) yields all the admissible triples that were known up to now (with one exception) as well as new ones.
0