DERIVED FROM THE REGULAR POLYTOPES. 



23 



by adding those of four adjacent vertices of C 600 (vertices of a 

 same limiting tetrahedron). 



The coordinates of the vertices of ec s 6'' 600 are to be multiplied 

 by such a number that the edge of it acquires the length 4. The 

 length of the edge of ce 3 C 600 (= distance of the first and the 

 second vertex of ce 3 C 600 in the following computation) is found 

 to be = 2 -|- 2e. Hence the multiplier required is \ (e — 1). 



Seven coordinate-symbols are obtained. 2 ) 



^600 



^600 



°600 



p 



^600 



2 + 2e 



3 -j-e 

 3 + e 

 3 + e 



o 



, 1 + e 







2 



o 



2 

 



o 

 o 



2 



1 + * 



Ce 3 ^ 600 



11 + 5e 



, 3 -\-e 



,3 + 6' 



3 4- e 



ce (' 

 Lt 'i ^600 



[7 + 3. 



, \-\-e 



1 + 6' 



1 + e] 



(1 

 ' 600 



p 



u 600 



^600 



P 

 ' 600 



2 + 2e 



3 + e 



3 + e 

 3 + e 







o 







2 



1+e 

 1+e 





 



__ 2 



re O' 



' .( ^ 600 



11 + 5e 



, 1 + e 



4 -j- 2<? 







OP ( ' 

 ot? 3 ^600 



[ 7 + 3e 



2 



3 +e 



] : 



n 



u 600 



' 600 



P 

 °600 



p 



' y «O0 



1+e 

 3 + e 

 3 + <? 



3 +e 



. 1 + « 

 , 1 +<? 







2 



, 1 + e 







1+e , 

 







2 



1+, 



re f' 



ct S - 600 



1 4- 4e 



, 4 -f- 2e 



4 + 2e 



, 4 + 2e 



re ( ' 

 L \i ' 600 



[ 5 + 3e 



, 3 + e 



3 + e 



3 + e ] 



(1 



1 '600 



^600 

 p 



H;oo 



^600 



1+e 

 3 + e 



2 

 1+e 



, 1+e 



, 3 + e , 

 2 



2 

 1'+ e 

 3 + e 



L + e 

 

 

 



Lt, 6 ' 600 



7 -f 3e 



, 7 + 3e 



7 + 3e 



1 -1 , 



( ' e :i ^600 



[ 4 + 2e 



4 + 2e , 



4 +- 2e , 



2 ] 



') P. H. S( 

 Eltk-, Diss 



jiioute. Regelm 

 -, S 15, p. 2T, 



âssige Schnitt 

 Table I); § 1 



■ and Projecl 

 6, \,. 32; Tal 



onen, Tabell» 

 ile K (ce 3 C 6 



64 



\W 



64 



64 



600 



