DERIVED FROM THE REGULAR POLYTOPES. 



140. The polytope ce 2 e 3 C 24 is obtained by composition of ee 3 G 



24 



and ce 2 C 24 



ce s C 2i 2N/2 , 



, 

 ce' C 9 , 3V2 , V'2 , V2 , V2 



2 ^24 



ce 2 e 3 C 2i [5V.2 , V2 , V2 , V2] 



64 vertices 



ce 3 G 24 



Ce 2 ^24 



V2 , V2 , V\ 



V2 



3Y/2 , V2 , V/2 , V2 



ce 2 e s C u [4\/2 , 2V2 , 2V/2 , 2\/2]. 



64 



C6> 3 ^24 

 ce 2 ^24 



ce. 



V2 , 12 , V2 , V2 

 2V2 , 2V'2 , :2V 2 , 



e d C 24 [3V2 , 3V/2 , 3V2 , V2]. . 



64 



Total. . . 192 vertices. 



141. The polytope e 2 e s C 24 is obtained by composition of 



ce 2 e 3 C 24 



and C 24 : 











Ce 2 e 3 ' 24 

 ^24 



5\/2 

 2 



V/2 , 



2 



V2 

 



, V2 

 





e 2 e S ^24 



[2 + 5N/2 



2-}- V x 2 , 



V2 



\/2]. 



. 192 vertices; 



ce 2 e 3 6. 24 



^24 



4V2 



2 



2V2 , 



2 



2\ 2 

 



2\ 2 



, o 





e 2 e % ^24 



[2 + 4\/2 



, 2 + 2V/2 , 



2V/2 



, 2V2]. 



• 192 „ ; 



C?2 ^3 C 24 

 ^24" 



3V/2 



2 



3V/2 , 



2 



3V X 2 

 



, V 7 2 



o 





e 2 e 3 ^24 



[2 + 3V2 



, 2-L-3V2 , 



3V2 



, V/2J. 

 Total . . 



. 192 „ ; 



. 576 vertices. 



142. The polytope ce l e 2 e s C 24 is obtained by composition of 

 ce 2 e 3 C 2i and ce } C 24 . The coordinates of the «^ C^-vertex may 

 be replaced by the two CL-vertices, from which it can be obtained. 



