A QUATRE DIMENSIONS. 



27 



(3301) c^= \ 

 (3211).,= L 



(3121) c,= l, 



(2221) Q = 2, 



(2131)c',= 2, 

 (1141) e, = 2. 



En coinbinant tuns les résultats iioas truiivoiis le tableau suivant, 

 où e représente la fi'ac^tion ^ : . 





Nombres 



a"' cfJ'-^ IP 



c'd' = {p^j).,qrs). 





(44021) = ( 



44012) 



= 1 



(42023) = 



(4202) c,= 



1 



(43121) = ( 



43112) 



= 1 



(41213) = 



(4121).,= 



: 1 



(43031) = ( 



43022) 



^ 2 



(41123) = 



(4112)6',= 



:1 



(42221) = ( 



42212) 



= 1 



(33113) = 



(3311).,= 



:2 



(42131) = ( 



42122) 



= 2 



(33023) = 



(3302)6-,= 



:3 



(42041) = ( 



42032) 



= 2 



(32213) = 



(3221)6-,= 



3 



(41321) = ( 



41312) 



= 1 



(32123) = 



(3212).,= 



-4 



(4123]) = ( 



41222) 



= 2 



(31313) = 



(3131).,= 



3 



(41141) = ( 



41132) 



= 2 



(31223) = 



(3122).,= 



4 



(33221) = ( 



33212) 







.V 



(22313) = 



(2231).,= 



5 



(33131) = ( 



33122) 



= 4 



(22223) = 



(2222).,= 



-7 



(33041) = ( 



33032) 



= 5 



(21413) = 



(2141).,= 



: 5 



(32321) = ( 



32312) 



= 3 



(21323) = 



(2132).,= 



:7 



(32231) = ( 



32222) 



= () 



(11513) = 



(1151).,= 



5 



(32141) = ( 



;32132) 



= 7 



(11423) = 



(1142).,= 



--1 



(32051) = ( 



;32042) 



= 5 



(32033) = 



3<32051) = 



3 



(31421) = ( 



31412) 



= 3 



(31133) = 



3.(31151) = 



: 3 



(31331) = ( 



;31322) 



= (5 



(22133) = 



3.(22151) = 



6 



(31241) = ( 



;31232) 



= 7 



(21233) = 



3.(21251) = 



-6 



(31151) = ( 



;31142) 



= 5 



(11333) = 



3.(11351) = 



6 



(22421) = 



;22412) 



= 5 



(22043) = 



3.(22061) = 



:3 



(22331) = 



;22322) 



= 10 



(21143) = 



3.(21161) = 



3 



(22241) = 



:22232) 



= 12 



(11243) = 



3.(11267) = 



3 



(22151) = 



:22142) 



= 10 



(33014) = 



(3301).,= 



: 1 



(22061) = 



:22052) 



= 5 



(32114) = 



(3211).,= 



1 



(21521) = 



:21512) 



= 5 



(31214) = 



(3121).,= 



: 1 



(21431) = 



^21422) 



= 10 



(22214) = 



(2221).,= 



2 



(21341) = 



:21332) 



= 12 



(21314) = 



(2131).,= 



:2 



(21251) = 



[21242) 



= 1 



(11414) = 



(1141).,= 



2 



(21161) = 



[21152) 



= 5 . 



(32024) = 



.(32051) = 



: 1 



(11(521) = 



:11612) 



= 5 



(31124) = 



.(31151) = 



1 



(11531) = 



(11522) 



= 10 



(22124) = 



.(22151) = 



2 



(11441) = 



(11432) 



= 12 



(21224) = 



.(21251) = 



2 



(11351) = 



(11342) 



= 10 



(11324) = 



.(11351) = 



-2 



(11261) = 



(11252) 



= 5 



(22034) = 



.(22061) = 



: 1 



(43013) = 



(4301) f; 



= 1 



(21134) = 



.(21161) = 



: 1 



(42113) = 



(4211)6-, 



= 1 



(11234) = 



.(11261) = 



:1 



