[10c 



Untersuchungen über gleichflächige Polyeder. 



145 



Gesamtzahl der Polyeder: für m> 2: 29 (+ 64) ^ 93 



„ m < 2: 53 (+ 64) = 117 

 „ m = 2: 21 (+ 104) = 125. 



IL 



Die Aufsenfläche wird von zwei Zellformen gebildet. 



Nr. 



Zellformen der Aursen- 

 fläche 



Verdeckte Zellformen 



Anzahl der 



isophänen 



Körper 



a) 



(3 =-5). (7^11) 





(1 = 2) 



21 = 2 



b) 



(3 = 5). (8 = 12) 





(1 = 2), (7 = 11) 



22 = 4 



c) 



(4=6). (7 = 11) 





(1 = 2), (3 = 5) 



2- = 4 



d) 



(4 = 6). (8 = 12) 





(1 = 2), (3 = 5), (7 = 11) 



23 = 8 



e) 



(4 = 6). (9 = 13) 





(1 = 2), (3 = 5), (7 = 11) 



2= = 8 



f) 



(8 = 12). (9 = 13) 





(1 = 2), (3 = 5), (7 = 11) 



23 = 8 



g) 



(3 = 5). (14=15)«/! 





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



23 = 8 



h) 



(4=6). (14=15) «7! 





(1 = 2), (3 = 5), (7 = 11), (8 = 12) 



21 = 16 



i) 



(9 = 13).(14=15)a7! 





(1 = 2), (3 = 5), (7 = 11), (8 = 12) 



2* = 16 



k) 



(10=24).(14=15)!«7 



(1 



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



26 = 64 



1) 



(8 = 12). (16 = 17)^7' 



(1 = 2), (3 = 5), (4 = 6), (7 = 11), (9 = 13) 



2^ = 32 



m) 



(10=24).(16 = 17)!|37 



(1 



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



2ß = 64 



n) 



(14 = 15).(16 = 17)7! 



(1 



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



26 = 64 



Es gehören also hierher: für »j > 2: 74 (-|- 64) ^138 Polyeder, 



„ m < 2: 66 (+ 64) = 130 



„ m = 2: 34 (+ 264) = 298 „ 



III. 



Die Aufsenfläche wird von drei Zellformen gebildet. 



Nr. 



ZeUformen der Aufsenfläche 







Verdeckte Zellformen 





Anzahl der 



isophänen 



Körper 



a) 



(4 = 6). (8 = 12). (9 = 13) 







(1 = 2), (3 = 5), (7 = 11) 





23 = 8 



b) 



(4 = 6). (9 = 13). (14 = 15) ay[ 





(1 = 



= 2), (3 = 5), (7 = 11), (8 = 12) 





2'» = 16 



c) 



(10 = 24j. (14 = 15). (16=17)7! 



(1 = 



= 2), (3 = 



= 5), (4 = 6), (7 = 11), (8 = 12), (9 = 



13) 



2'' = 64 



