NOTE ON PROJECTION BODIES OF ZONOTOPES WITH n+1 GENERATORS  

作　　者：Martin HENK 

机构地区：[1]Institut für Mathematik,Technische Universität Berlin,Sekr.MA 4-1,Straße des 17 Juni 136,10623,Berlin,Germany

出　　处：《Acta Mathematica Scientia》2025年第1期96-103,共8页数学物理学报(B辑英文版)

摘　　要：We show that the volume of the projection bodyΠ(Z)of an n-dimensional zonotope Z with n+1 generators and of volume 1 is always exactly 2^(n).Moroever,we point out that an upper bound on the volume ofΠ(K)of a centrally symmetric n-dimensional convex body of volume 1 is at least 2^(n)(9/8)^([n/3]).

关 键 词：projection body Petty functional POLYTOPES ZONOTOPES 

分 类 号：O186.5[理学—数学]