HMPD. IN S 3 , &\, S 5 . 



Table VIII. 



Faces. 



HM S 



1 „ 

 e 2 » 

 HM 4 



1 „ 



c 3 

 e 2 e 3 



HM K 



v 2 ""3 



e 2 e 4 



c 3 <4 



'2 ^3 c 4 



Symbol of 

 coordinates 



i[ï.ll] = 2' 



i [3 1 1] = /7' 



[1111] = 

 [3311] = 

 [3 111] = 

 [5311] = ccj e 



ce 2 



2 



£[111.11 



1 [3 3 3 1 1 



1 [3 3 1 1 1 

 £[81111 



2 t 5 5 O ! 

 1[5 3 3 1 1 



1 [5 3 111 



£[75811 



Characteristic numbers. 

 ( 4, 6, 4) 

 (12, 18,8) 



( 8, 24, 32, 16) 

 (48,120, 96,24) 

 (32, 96, 88, 24) 

 (96, 192, 120, 24) 



( 16, SO, 160, 120, 26) 

 (160, 560, 640,280,42) 

 (160, 720, 880,360,42) 

 ( 80, 400, 720,480,82) 

 (480, 1200, 1040, 360, 42) 

 (480, 1680, 1840, 720, 8.2) 

 (320, 1120, 1280, 560, 82) 

 (960, 2400, 2080, 720, 82) 



ft 



Pi 



ft 



» = 3 



Limiting polyhedra. 









4 

 4 



32 



3 



1 



12 







4 



2 









T 







*■ 



tT 



CO 



A 



to 







16 



8 





























64 



4 







32 



4 







8 



1 







16 



4 















n = 4 







64 



6 



24 



3 







16 



2 















8 



3 

















32 



1 



24 



1 



64 



4 















16 



2 











8 



2 





Limiting polytopes. 





10 





40 





16 





16 





160 



30 











120 



30 



























n 



ü 16 



5 











tf(5) 



5 



480 



9 







160 



6 



80 



2 



80 



3 







120 



9 















e x „ 



3 







ce 1 S(5) 





e x » 



2 



640 



12 



240 



6 







120 



3 



80 



3 



80 



3 







80 



6 











c e 2 „ 



2 







c e, „ 





H » 



3 



4S0 



18 



240 



12 







240 



12 







240 



18 



















' Ç. 



1 



Pt 



4 



S (5) 





e 3 „ 



4 



320 



2 



240 



2 



480 



6 











80 



1 



200 



5 











80 



4 



c e, e 2 „ 



2 







c <?, e 2 „ 





e \ e 2 " 



g 



800 



5 



720 



6 



320 



4 







SO 



1 



240 



3 



160 



4 



80 



2 



160 



4 







e i » 



1 



Pn- 



2 



e 2 » 





c\ e 3 „ 



2 



640 



6 



480 



6 



160 



3 



160 



2 







160 



3 



80 



3 



80 



3 



80 



3 







c e 2 „ 



1 



Pt 



1 



e x „ 





c 2 e i " 



3 



320 



1 



960 



4 



800 



5 











160 



1 



160 



2 







240 



3 



160 



4 



e £j e 2 ,, 



1 



P,T 



1 



e l c 2 » 





e \ e 2 e 3 » 



2 



