146 



Artur Rosentbal 



[104) 



Anzahl der liierhergebürigen Polyeder: für vi > 2: 24 



„ m < 2: 8 

 „ 7» = 2: 8 (+80). 



Sonst sind keine alloi)hänen Typen möglich. 

 Im ganzen existieren also für hj > 2: IS ganzgeschloss. und 2 lialbgeschloss. Typen, 



„ m < 2: 15 

 , m = 2: 13 



2 



12 



Die konvexen Polyeder. 



Art 



Name 



Typus 





Art der Ecken 



1 



(1 = 2) 



I,a 



D 



4,; 3i; 4^, 



2 



(1 ^ 2). (3 = 5) 

 (1 = 2). (7 = 11) 



I,b 

 I,d 



A 



X 



8|j 8|, 4i; 32 

 6], 6i, 3i 



3 



n 



(1 = 2). (3 = 5). (4 = 6) 



(1 ^ 2). (B = 5). (7 = 11) 



(1 = 2). (7 = 11). (8 = 12) 



I, c 

 II, a 



1,6 



A 

 + 



82-, 82; 4| 



8|,8,; 6,, 61, 82; 43,43 



43; 6^, 3i; 4^ 



4 



M 

 M 

 M 



(1 = 2). (3 = 5). (4 = 6). (7 = 11) 



(1 = 2). (3 = 5). (4 = 6). (16 = 17) 



(1 = 2). (3 = 5). (7 := 11). (8 = 12) 



(1 = 2). (3 = 5). (7 = 11). (9 = 13) 



(1 = 2). (7 = 11). (8 = 12). (14 = 15) 



11, c 



iMßr) 



II, b 

 I,h(«7) 



D 



X 



D 



X 



82, 82; 61, 61; 43, 43 



83» 83, 4] ; 3i 



81, 8|, 43; 62, 62, So; 4|,4„ 43,43 



821 82; 605 621 82 



62, 62, 3i, 3| 



5 



n 



(1 = 2). (3 ^ 5). (4 = 6). (7 = 11). (8 = 12) 

 (1 = 11). (3 = 5). (4 = 6). (7 = 11). (9 = 13) 

 (1 = 2). (3 = 5). (4 = 6). (7 = ] 1). (16 = 17) 

 (1 = 2). (3 = 5). (7 = 11). (8 = 12). (9 = 13) 

 (1 = 2). (3 = 5). (7 = 11). (8 = 12). (14 == 15) 

 (1 = 2). (3 = 5). (7 = 11). (9 = 13). (10 = 24)! 



II, d 

 11, e 



II, f 



n,g(«7) 



D 



82,82, 43; 62,62; 4,,4„ 43,43 



83, 83; 62, 62 



83, 83; 61, 6| , 3| ; 43, 43 



82, 82, 4»; 82; 4,, 4i 



81, 8j; 62, 62, 3i, 82; 43, 43 



83,83; 3.2; (4, E4i)„ 



6 



(1 = 2). (3 = 5). (4 = 6). (7 = 11). (8 = 12). (9 = 13) 

 (1 = 2). (3 = 5). (4 = 6). (7 = 11). (8 = 12). (14 = 15) 

 (1 = 2). (3 = 5). (4 = 6). (7 = 11). (8 = 12). (16 = 17) 

 (1 = 2). (3 = 5). (4 = 6). (7 = 11). (9 = 13). (10 = 24)! 



III, a 

 II,h(a7) 

 II,e(i37) 



11 + 



O3, 43; 4^1 

 8^82; 6^62, 3,; A^3 

 8'^3, 43; 6^62, 3,; 4T74i: 4^3 

 . (4,E4i)„ 



