ANALYTICAL TREATMENT OF THE POLYTOPES REGULARLY 



ce 2 J . 2 , , 3 -f- e 



J 1 f- e , , 2 



7 , 2 , 1 + e ' 



rx j j e 2 / [3 4- e , 2 , 6 4~ 2e] : 2 24 vertices; 



ce 2 I 2 , 0,3 f e 



7 , 2,1+^ 



7 , —2 , 1 -J- e 



ce 1 e 2 I [2 . (I . 5 + 3e]: 2 12 „ ; 



ce 2 / 1 -f e , 1 4~ e , 1 4- e 



I 2 , l--j-c , 



/ _0_ , 2 ,1+e 



ce, e 2 7 [3 -f e . 4 + 2e , 2 + 2e] : 2 24 „ ; 



'i' 



Total. . . 60 vertices. 



122. Finally the polyhedron e, c 2 lis obtained by the composition 

 of ce 2 I, ce l I and I or, by an identic transformation, of ce { c 2 J 

 and I. For this we add to the coordinates of each ' of the vertices 

 of ce x e 2 I those of one of the two vertices of I nsed to deduce 

 it in the preceding article. 



24 vertices 



ce 1 e 2 1 

 T 



3 + e 



1-4 e 



, 2 , G -f 2e 

 , , 2 





<?j e 2 I 



[4 \ 2e 



,2,8- f 2e] : 2 ... . 



. . 24 



ce 1 e 2 1 



1 



Vf e 

 



,2,6 + 2e 



, 2 ■ , 1 + e 





e l e 2 J 



[3 f* 



, 4 , 7 -f 3e] :. 2 . . . . 



24 



ce i e 2 I 



2,0, 



5 4 3e 





J 



0,2, 



1+e 





e x e 2 I 



[2,2, 



6 -f 4e] 



24 



ce, e 2 I 

 I 



3 + * . 

 2 



4 + 2e , 2 4- 2e 

 1 4- e ,' 





*i H 1 



[ 5 + e , 



5 4- 3e , 2 4- 2e] : 2 



. . . 24 



ce x e 2 I 



3 + e 



4 1- 2e , 2 4- 2? 





I 







2 , 1 + e 





Sî J 



?j e 2 T [3 + e , 6 +- 2e , 3 -f 3e] : 2 . . . 24 



Total. . . 120 vertices. 



