82 ANALYTICAL TREATMENT OF THE POLYTOPES REGULARLY. 



Theorem XXVII. "If the regularity of the circumpolytope of a 



p 

 simplex net of 8 n is expressed by the fraction — , the regularity 



p + 1 

 of the net itself will be represented in the general case by — — - 



3 



and in the special case p=0 by — — ;— rr"- 

 1 l J 2(>-f-l) 



(To be continued). 

 Groningen, September 1911. 



