DERIVED FROM THE REGULAR POLYTOPES. 7 



123. The following table contains the coordinate-symbols of all 

 the polyhedra of the icosahedron-family and the numbers of vertices 

 represented by them. 



The symbols of each of the polyhedra are arranged according to 

 the greatest commensurable part of the coordinates. The ordinate 

 with this greatest commensurable part has been placed first in 

 every symbol. 



I 



[ 2 



l+e 



L2 



ce x I 



[3 + e 



[2 + 2e , 



1 + e , 



o 



2 ] 

 o ] 



2 



24 

 G 



30 



ce 2 I 



[3 + * , 



2 



° ] 



2 



12 



[1 + e , 1 + è , 1 -f e] 













20 



e, I 



[5+, 

 [4 -f 2e 

 [3 + 3, 



, 2 4- 2e 

 , 1 -j-e 



, o 



2 ] 



- 4 ] 



2 ] 



2 



: 2 

 : 2 



24 

 24 

 12 



60 



e 2 I 



[5 + e 

 [4 + 2e , 

 [3+ e 



34-e 



2 

 2 4- 2 e 



o ] 



2 J 



1 +e] 



2 



2 



12 

 24 



24 



60 



ce x e 2 ƒ 



[6 -f 2e 



[5 + 3, 

 [4.+ 2e 



3 4~ e 

 2 



2 4- 2e . 



2 ] 



o ] 



3 4- e] 



2 



2 

 2 



24 

 12 

 24 



60 



e 1 e 2 I 



[8 4- 2. , 

 [7 -j- 3, 



[6 -f 4c , 



[o 4- 2e . 

 [5 + Se , 



4 4- 2e . 

 3 4- e , 



2 

 3 -f 3e , 



2 4- 2e , 



2 ] 



4 ] 



2 ] 

 3 + *] 



5 + e] 



2 

 2 



9 



fy. 



2 



24 

 24 

 24 

 24 

 24 



120 



