14 ANALYTICAL TREATMENT OF THE POLYTOPES REGULARLY 



137. The polytope e 3 C 24 is obtained by composition of ce 3 C 24 

 and C 9A : 



ce 3 6 24 



°24 



2V2 , 



2 







2 



> 



3 



, 



ü , 





 





e 6 '24 



ce 3 C 24 



^24 



[2 -4- 2V/2 , 



V 2 , 



2 



2 



\ 2 



2 



9 



o , 

 , 



0]... 



V2 

 



1/2].. . 



Total . . 



18 vertices; 



H ^24 



[2-f V2, 



2 + V 



2 , 



\/2, 



• 06 „ ; 





. 144 vertices. 



13S. The polytope ce x e 3 C{, 4 is obtained by composition of ce 3 C 24 

 and ce* C 24 ■ The coordinates of the ce x C 24 -vertex are again replaced 

 by those of the C 24 , from which they can be obtained by addition. 



Ce 3 ^24 



^24 

 ^24 



2 V 2 , 

 2 



2 







2 , 

 





 





 

 





Ce l C 3 24 



[4 -f- 2V 2 , 



2 , 



2 



96 vertices; 



ce C 



°24 

 °24 



Va , 



2 



3 



\ 2 , 

 2 



\ 



V/2 

 



2 



\ 2 

 

 





CC-^ 69 ' 24 



[4+ V/2, 



2 + V 2 . 



2 | \ 2 



V/2].. 

 n,.4-.>i 



L92 „ ; 





OÜC .T^ii.f^nc 



139. The polytope e i e 3 (\ u is obtained by composition of ce 1 e 3 C 24 



and C. 



24 



ce lh C 2A 



C 



24 



a 



24 



4 + 2V 2 



2 



V'/24 [ ( > + 3\ 2 



'l«8<*4 [Ö+ V 72 



J, . 192 vertices; 



V 2] . . 384 



Total ... 576 vertices. 



