Artiir Rosenthal. 



[46] 



III. 

 Die Anfseiifläche wird von drei Zellfornien o-ebildet. 



Nr. 



Zellformeu 



der 

 Aiifsenfliiclie 



Verdeckte Zellformen 



Anzahl 



der isophänen 



Körper 



Eine der drei Zelh'ormea der Anfsen- 

 fläohe wird verdeckt, wenn 



"^ .c 



.2^ 



Hu. 



liuche 

 ■-■cht 

 über 

 iu den 

 TypuB 





1 



2. 3. 7 



1 



21 = 



2 

















2 



3. 8. 11 



1, 2, 7 



23 = 



8 



— 



— 









3 



4. 5. 7 



1, 2, 3 



23 ^ 



8 



— 



— 









4 



4. 5. 8 



1, 2, 3, 1 



2" = 



16 



n {ii + 1) 



4 



11,16 





5 



4. 5. 9 



1, 2, 3, 7 



2* = 



16 



— 



— 



— 





6 



4. 5. 11 



1, 2, 3, 7 



24 == 



16 



— 



— 



— 





7 



4. 0. 12 



1, 2, 3, 7, 8, 11 



2" = 



64 



nm (n — 1) {m — 1) < n- — «»2 



4 



11,20 





8 



4. 8. 9 



1, 2, 3, 7 



2* = 



16 



— 



— 



— 





9 



4. 8. 11 



1, 2, 3, 7 



2* = 



16 



m im. + 1) / ^, 

 m ■ — 1 — 



8 



11,12 





10 



4. 8. 13 



1, 2, 3, 5, 7, 9, 11 



2' = 



128 



— ni — n + 2 



m (m + 1) ^ 

 m — 1 — 



4 



8 



11,30 

 11,14 





11 



4. 9. 11 



1, 2, 3, 7 



2* = 



16 



— 



— 



— 





12 



4. 9. 12 



1, 2, 3, 7, 8, 11 



26 = 



64 



— 



— 



— 





13 



4. 12. 13 



1, 2, 3, 5, 7, 8, 9, 11 



2** = 



256 



mn {n — 1) {in — 1) < «^ — to- 



4 



11,36 





14 



5. 8. 9 



1, 2, 3, 7 



2^ = 



16 



— 



— 



— 





15 



5. 8. 11 



1, 2, 3, 7 



2^ = 



16 



— 



— 



— 





16 



5. 9. 11 



1, 2, 3, 7 



2^ = 



16 



nm {m. + 1) < n^ + m- 



9 



11,19 





17 



5. 9. 12 



1, 2, 3, 7, 8, 11 



2« = 



64 



mn {m + 1) < «" + J»^ 



9 



11,20 





18 



5. 10. 11 



1, 2, 3, 4, 7, 8, 9 



2" = 



128 



— 



— 



— 





19 



5. 10. 12 



1, 2, 3, 4, 7, 8, 9, 11 



2« = 



256 



mn (;» + 1 -}- um — n) <C n- + 7h^ 



10 



11,20 





20 



6. 8. 9 



1, 2, 3, 4, 5, 7 



26 ^ 



64 



— 



— 



— 





21 



6. S. 11 



1, 2, 3, 4, 5, 7 



26 = 



64 



m — 1 -^ 



8 



11,25 





22 



6. 8. 13 



1, 2, 3, 4, 5, 7, 9, 11 



2» = 



256 



m — 1 - 



8 



11,27 





23 



6 9. 11 



1, 2, 3, 4, 5, 7 



26 = 



64 



nm (m + 1) < n"- + i»^ 



9 



11,25 





24 



6. 9. 12 



1, 2, 3, 4, 5, 7, 8, 11 



2S = 



256 



nm (i» + 1) < oi"^ + m'2 



9 



11,26 





25 



6. 10. 11 



1, 2, 3, 4, 5, 7, 8, 9 



2» = 



256 



— 



— 



— 





26 



6. 10. 12 



1, 2, 3, 4, 5, 7, 8, 9, 11 



2» = 



512 



mn (n + m + 1) ^ 2 n''- + m''- 



10 



11,26 





27 



6. 10. 13 



1, 2, 3, 4, 5, 7, 8, 9, 11 



2'' = 



512 



— 



— 



— 





28 



6. 12. 13 



1, 2, 3, 4, 5, 7, 8, 9, 11 



2'' = 



512 



• — 



— 



— 





