Title: Equipartitions of measures in R^4
Author: Rade Zivaljevic
AMS Class.: 52A39; 52C35; 55S40; 57R22; 57R91; 68P30
arXiv:math.CO/0412483 v1 December 2004


Address: Mathematical Institute SANU, Knez Mihailova 35/1, p.o. box 367
                                      11001 Belgrade
                                      Serbia and Montenegro
e-mail: rade@turing.mi.sanu.ac.yu                                      

A measure in R^4 admits an equipartition by 4 hyperplanes, provided it 
is symmetric with respect to a 2-dimensional, affine subspace L of R^4. 
The computation is based on the Koschorke's exact singularity sequence 
for groups of normal bordisms and the remarkable properties 
of the essentially unique, balanced binary Gray code
in dimension 4.