Fermat:Solution matrices

 

Topologie paire

rappel: une topologie paire cré une difference primaire double par raport a une topologie impaire c'est a dire:

pour B=4 , C=5 et A=3

Matrice résumée des differences de volumes

Topologie impaire

n

Topologie paire

3

4

5

6

7

8

9

10

 

 

11

dépasse les 2000 termes !

 

 

Ces matrices / formules sont vérifiées jusqu'à la puissance de 4 , vous pouvez vous même tester sur

 

A partir de ce point, c'est vrai , j'utilise l'informatique , a titre d'amusement la sortie de eq_simplifier (débrider avec une pile de 2000 nombres) pour une topologie paire de 9:

(b^18+4b^16+4b^16+16b^14+4b^16+16b^14+16b^14+64b^12+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+

64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+16b^14+64b^12+

64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+

64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+16b^14+

64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+

256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+4b^16+16b^14+16b^14+64b^12+16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+

16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+

64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+

16384b^4+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+

1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+

4096b^6+4096b^6+16384b^4+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+1024b^8+4096b^6+4096b^6+16384b^4+4096b^6+16384b^4+16384b^4+65536b^2+4b^16+16b^14+16b^14+64b^12+

16b^14+64b^12+64b^12+256b^10+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+

256b^10+1024b^8+1024b^8+4096b^6+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+

1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+16b^14+64b^12+64b^12+256b^10+64b^12+256b^10+256b^10+1024b^8+64b^12+256b^10+

256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+64b^12+256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+64b^12+

256b^10+256b^10+1024b^8+256b^10+1024b^8+1024b^8+4096b^6+256b^10+1024b^8+1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+256b^10+1024b^8+

1024b^8+4096b^6+1024b^8+4096b^6+4096b^6+16384b^4+1024b^8+ .... autants de termes !!!

 

 

 

 

Fermat:Solution matrices

 

 

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[Fermat:Solution matrices] 

Patrick Stoltz le 181/0/2009 – dépôt INPI en cours-

pstoltz@shemath.com