16 ANALYTICAL TREATMENT OF THE POLYTOPES REGULARLY 



ce 2 e 3 C 24 5V / 2 



24 



24 



ce \ e 2 e 3 ^24 [ 4 ~|- 5 V 7 2 



ce 2 & 3 C 2 4 



24 



24 



1\ 2 



2 



2 



ce,e 2 e 3 C 2A [4 + 4\ 2 



ce 2 e 3 6 24 



G 



24 



nr 



v 24 



• i\ 2 

 2 



9 



c^e^gCg.i | 1 + 3V 2 



V2 

 2 

 Ü 



2-f-\ 2 



2\ 2 



2 

 



2 -f- 2V 7 2 



3 V 2 

 2 







•2 + 3\ 



\ 2 





 2 



2 -j-V / 2 



2 V 2. 







2 



2 + 2V '2 



3\ 2 



o 



9. 



2 ! 3\ 2 



\ 2 

 

 



V2]. . 192 vertices; 



•3\ 2 

 

 



2V2]. . 192 



)> > 



\ 2 





 



\ 2 J.. 192 „ ; 



Total ... 576 vertices. 



143. The polytope 6 x e 2 e 3 C 24 * s obtained by composition of 



ceie 2 e s C 2i and C 24 



ce x e 2 e^C 2A 4-f 5\/2 , 2-f V '2 , 2-fV2 , V2 



G 



24 



, 



e v e 2 e 3 C 2A [6-f-5\/2, 4 + V 7 2 , 2 + V 7 2 , V2~\. 384 vertices; 

 ce x e 2 e 3 C 24 4 + 4V 7 2 , 2 + 2V 7 2 , 2 -f 2Y 2 , 2V 7 2 



a 



24 



, 



e \ H H C 2A [ 6 + 4V/ 2 , 4 + 2 V ' 2 , 2 -f 2 V 7 2 , 2 V/ 2] . 384 

 ce 1 e 2 e. à G u 4 -f 3\/2 , 2-J-3V2 , 2-f- 3V 7 2 , V2 



G 



24 



«Wa^ [fi + 3V/2 , 4-f 3V/2 , 2 + 3V/2, V/2]. 384 



Total. . . 1152 vertices. 



144. The following table contains the coordinate-symbols of the 

 polytopes of the C 24 -family and the numbers of vertices represented 

 by each of them. 



