[^7j 



üntersuchung-en über gleichflächige Polyeder. 



89 



». 



Zellformen 



der 

 Außenfläche 



Verdeckte Zellformen 



Anzahl 



der isophänen 



Körper 



Eine der drei Zellformen der Aufsen- 

 fläche wird verdeckt, wenn 





Die 



Ä.uf;äen- 



flücbe 



geht 



über 



in den 



















5 



TyiiU3 





29 



8. 9. 



11 



1, 2, 3, 7 



24 = 



16 

















30 



10. 12. 



13 



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



29 = 



512 



nm (in + 1 + mn — n) < n- + m^ 



10 



11,36 





31 



3- 12. 



14 



1, 2, 7, 8, 11 



25 = 



32 



— 



— 



— 





32 



4. 5. 



14 



1. 2, 3. 7, 8, 11 



26 = 



64 



— )i^- — « -|- 2 



4 



11,39 





33 



4. 9- 



14 



1, 2, 3, 7, 8, 11 



26 = 



64 



— 



— . 



— 





34 



4. 12. 



14 



1, 2, 3, 7, 8, 11 



26 = 



64 



«■- + Mj2 < tim (m — 1) 



12 



11,38 





35 



4. 13. 



14 



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



2» = 



256 



= «2 — n+ 2 



4 



11,44 





36 



5. 9. 



14 



1, 2, 3. 7, 8, 11 



26 = 



64 



ni'- <, n 



9 



11,39 





37 



5. 10. 



14 



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



2S = 



256 



— 



— 



— 



f^ 



38 



5. 12. 



14 



1, 2, 3, 7, 8, 11 



20 =^ 



64 



— 



— 



— 



p 



39 



6. 9. 



14 



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



23 = 



256 



Mi2 ^ n 



9 



11,40 



^ 



40 



6. 10. 



14 



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



2» = 



512 



— 



— 



— 





41 



6. 12. 



14 



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



2* = 



256 



«"2 + 7)»2 < nm (m — 1) 



12 



11,40 





42 



6. 13. 



14 



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



29 ^ 



512 



— 



— 



— 



'od 



43 



9. 12. 



14 



1, 2, 3, 7, 8, 11 



26 = 



64 



— 



— 



— 



(D 



44 



10. 12. 



14 



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



2* = 



256 



n < m^ 



12 



11,42 



a 



45 



10. 13. 



14 



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



2» = 



512 



— 



— 



— 



:=! 



46 



12. 13 



14 



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



2S = 



256 



— 



— 



— 



tS 



47 



4. 5. 



15 



1: 2, 3, '(.. 8, 11, 12, 14 



2S = 



256 



nm ('« — 1) (m — 1) < «- — m^ 



4 



11,47 



S 



48 



4. 9. 



15 



1, 2. 3, 7, 8, 11, 12, 14 



2S = 



256 



— 



— 



— 





49 



4. 13. 



15 



1, 2, 3, 5, 7, 8, 9, 11, 12, 14 



21» = 



1024 



nm (11 — 1) (m — \) < n''- — m'^ 



4 



11,51 





50 



5. 9. 



15 



1, 2, 3, 7, 8, 11, 12, 14 



2' = 



256 



m- < u 



9 



11,47 





51 



5. 10. 



15 



1, 2, 3, 4, 7, 8, 9, 11, 12, 14 



21" = 



1024 



mn (m + 1 + mn — n) < w^ + m'^ 



10 



11,47 





52 



6. 9. 



15 



1, 2, 3, 4, 5, 7, 8, 11, 12, 14 



210^ 



1024 



m- < n 



9 



11,48 





53 



6. 10. 



15 



1, 2, 3,4, 5, 7, 8, 9, 11, 12, 14 



211 = 



2048 



nm (n + m + 1) < 2 »^ + m^ 



10 



11,48 





54 



6. 13. 



15 



1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14 



21' == 



2048 



— 



— 



— 





55 



10. 13. 



15 



1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 14 



211 = 



2048 



nm (m + 1 + mn — n) < n"^ + m^ 



10 



11,51 





56 



5. 8. 



16 



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



2' = 



128 



_ 



L 



_ 



T. 



57 



5. 10. 



16 



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



2» = 



256 



— 



— 



— 



3 



58 



5. 12. 



16 



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



28 = 



256 



— 



— 



— 



60 



59 



6. 8. 



16 



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



28 = 



256 



— 



— 



— 





60 



6. 10. 



16 



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



29 = 



512 



— 



— 



— 



bD 



61 



6. 12. 



16 



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



29 = 



512 

















62 



6. 13. 



16 



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



2« = 



256 



— 



— 



— 



a 



€3 



8. 13. 



16 



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



2S = 



256 



— 



— 



— 





