272 EEV. T P. KIEKMAN ON THE K-PAETITIONS OP THE E-GON AND E-ACE. 
IjXXIII. The notation above employed for the partitions of the r-gon is applicable, 
with hardly any change, to express those of the r-ace. 
An A-ly reversible (1-|-^) -partition of the r-ace has h axial planes of reversion, which 
are achorial^ diackorial^ or nwnochorial^ according as they cut none, two, or one only of 
the faces [ywpla) about the r-ace. The k partitioning lines may conveniently be called 
diapifpeds^ or shorter, diapeds^ being each in two planes about the r-ace, as a diagonal is 
in two summits of the r-gon. 
Putting Ac, and Mo, for achorial, diachoiial and monochorial, we have the 
following account to give, N standing for the nucleus w-ace, of the (l-|-/?:’)-partitions of 
the r-ace : 
R'- A. ^r,k\, 
(r, 
R^.Mo (r, (r, ^)„, 
P (r, (r, k\. 
