DERIVED FROM THE REGULAR FOLYTOPES. 



13 



134. The polytope e 2 C 24 is obtained by composition of ce 2 C\ 



24 



and Q 



24 



ce 2 C 24 



a 



24 



SV2 



2 



e 2 C 24 [2-f2V/2 



V/2 , V/2 , V2 

 2 ,0,0 



e 2 C 24 [2 + 3V/2, 



2 -\- N/2 



, V/2 , 



V 7 2] 



ce 2 C 24 2\ 2 

 ^24 3 



2V 2 



2 



, 2\/2 , 





 



2 -f 2\ 2 . 2\ 2 , ] 

 Total , 



192 vertices; 



90 



288 vertices. 



135. The polytope ce l e 2 6' 24 is ol)tained by composition of ce 2 C 24 

 and ce x C 24 . Instead of a ce x C 24 -vertex however we make use of 

 the two C^-vertices from which it can be obtained by addition . 



ce 2 C 24 3V 7 2 , 



P 9 



°24 



C 9 



°24 



V2 

 2 

 



, V 2 



, <) 



9 



> ** 



, \ 2 



, o 

 , o 



ce x e 2 C 2A [4 + 3V/2 



ce 2 C 2i 2 V/2 

 C M 2 

 C 24 2 



2-j- V2 



2V 7 2 • 

 2 

 



, 2 4- N/2 

 .. 2V 2 



, o 



, 2 



, V/2] 



ce x e 2 C 24 [4 + 2V/2 



2 + 2V/2 



, 2 -f- 2N/2 



> 0] 



192 vertices; 



96 



Total 



288 vertices. 



136. The polytope e x e 2 C 24 is obtained by composition of ce x e 2 C 24 

 and C 24 (or ce x C 24 , ce 2 C 24 and C 24 , cf. art. 1 22). 



ce 



i H C 2i 4 + 3v/ 2 , 2 -f V 7 2 , 2 -f V 2 , \ 2 



y 24 



e \ e 2 C 2A [6 -f- 3V / 2 ,4+ V'l 

 ce x e 2 C 24 4-4-2V2 , 2 -f 2V 2 



'24 



e i e 2 6 24 [ 6 + 2V 2 . 4 + 2\ 2 



2 -4- V 7 2 , V/2]. . 384 vertices; 



2+ 2\/ 2 , 

 , 



2+2V2 , ].. 192 „ 



Total ... 576 vertices. 



