...evelnfc23tlevelnfcn23tleveljc0tleveljcn0tlevelfoll
o0tlevelstartat0tleveloldtlevelspace0tlevelindent36
0Itleveltextt02tu-3913 t00SItlevelnumberst02Stf37tfbias0 SStls2SItlistoverridetlistid-2tlistoverridecount1I
tlfoleveltlistoverrideformatItlistleveltlevelnfc23t
levelnfcn23tleveljc0tleveljcn0tlevelfollo0tlevelsta
rtat0tleveloldtlevelspace0tlevelindent360Itleveltex
tt02tu-3913 t00SItlevelnumberst02Stf37tfbias0 SStls3SItlistoverridetlistid-2tlistoverridecount1I
tlfoleveltlistoverrideformatItlistleveltlevelnfc23t
levelnfcn23tleveljc0tleveljcn0tlevelfollo0tlevelsta
rtat0tleveloldtlevelspace0tlevelindent360Itleveltex
tt02tu-3913 t00SItlevelnumberst02Stf37tfbias0 SStls4SItlistoverridetlistid-2tlistoverridecount1I
tlfoleveltlistoverrideformatItlistleveltlevelnfc23t
levelnfcn23tleveljc0tleveljcn0tlevelfollo0tlevelsta
rtat0tleveloldtlevelspace0tlevelindent360Itleveltex
tt02tu-3913 t00SItlevelnumberst02Stf37tfbias0 SStls5SItlistoverridetlistid-2tlistoverridecount1I
tlfoleveltlistoverrideformatItlistleveltlevelnfc23t
levelnfcn23tleveljc0tleveljcn0tlevelfollo0tlevelsta
rtat0tleveloldtlevelspace0tlevelindent360Itleveltex
tt02tu-3913 t00SItlevelnumberst02Stf37tfbias0 SStls6SSIttrsidtbl trsid729544trsid3810294trsid9333179trsid12343278SI
ttgenerator Microsoft ord 10.0.2627SItinfoItuprIttitle Constructia unui patrat magic imparSIttudtuc0Ittitle ConstrucItuc1tu355 tia unui ptu259 atrat magic imparSSSSItauthor DanielSItoperator DanielSItcreatimtyr2002tmo5tdy17tmin41SItrevtimtyr
2002tmo5tdy17tmin41SItversion2SItedmins0SItnofpages
3SItnofords534SItnofchars3049SItnofcharss3576SItver
n16437SStltrsect tidoctrltftnbjtaendnotestaftnstart0thyphhotz0taftn
nartnoxlattoyentexpshrtntnoultrlspctdntblnsbdbtnosp
aceforultlytprtmetthyphcaps0thorzdoctdghspace120tdg
vspace120tdghorigin1701tdgvorigin1984tdghsho1tdgvsh
o0tjexpandtviekind1tviescale75tpgbrdrheadtpgbrdrfoo
ttbdrrlssixtnolnhtadjtbltoldastrsidroot729544 tdonotshomarkup1tfet0tltrpar tsectd tltrsecttlinex0tendnheretsectdefaultcltsftnbjtsaft
nnartsaftnstart0 Ittpnseclvl1tpnucrmtpnqctpnstart1tpnindent720tpnha
ngItpntxta .SSIttpnseclvl2tpnucltrtpnqctpnstart1tpnindent720t
pnhang Itpntxta .SSIttpnseclvl3tpndectpnqctpnstart1tpnindent720tpn
hang Itpntxta .SSIttpnseclvl4tpnlcltrtpnqctpnstart1tpnindent720t
pnhang Itpntxta SSIttpnseclvl5tpndectpnqctpnstart1tpnindent720tpnh
ang Itpntxtb SItpntxta SSIttpnseclvl6tpnlcltrtpnqctpnstart1tpnindent720tp
nhang Itpntxtb SItpntxta SSIttpnseclvl7tpnlcrmtpnqctpnstart1tpnindent720tpn
hang Itpntxtb SItpntxta SSIttpnseclvl8tpnlcltrtpnqctpnstart1tpnindent720tp
nhang Itpntxtb SItpntxta SSIttpnseclvl9tpnlcrmtpnqctpnstart1tpnindent720tpn
hang Itpntxtb SItpntxta SStpardtplain tltrpartqc tli0tri0tidctlpartnooverflotfaromantrin0tlin0titap
0 trtlchtfcs1 taf0tafs20talang1025 tltrchtfcs0 tf36tfs20tlang1033tlangfe1033tcgridtlangnp1033tlan
gfenp1033 Itrtlchtfcs1 taf208 tltrchtfcs0 tf208tfs32tlang1048tlangfe1033tlangnp1048tinsrsid9
333179 Constructfeia unui pte3trat magic impartpar Stpard tltrpartql tli0tri0tidctlpartnooverflotfaromantrin0tlin0titap
0 Itrtlchtfcs1 taf0 tltrchtfcs0 tf2tlang1048tlangfe1033tlangnp1048tinsrsid9333179 tpar Problematpar SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 tpar SItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 ttab Ste3 se construiascte3 un pte3trat magic de dimensiune n cu n impar, adicte3 o matrice cu n linii si n coloane avte2SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 nd ca elemente numerele naturale 1, 2, ..., n2 astfel teencte2t sumele elementelor pe linii, pe coloane si pe cele doua diagonale sa fie identice.tpar tpar SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tfs24tlang1048tlangfe1033tlangnp1048tinsrsid933
3179 Introduceretpar SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 ttab Un SItrtlchtfcs1 taf208 tltrchtfcs0 titf208tlang1048tlangfe1033tlangnp1048tinsrsid9333
179 pte3trat magicSItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 constte3 dintr-un tablou de numere aranjate teen forma unui pte3trat, astfel teencte2t sumele elementelor din fiecare linie, coloante3 tbai din cele doute3 diagonale ste3 fie identice valoarea sumei se numetbate SItrtlchtfcs1 taf208 tltrchtfcs0 titf208tlang1048tlangfe1033tlangnp1048tinsrsid9333
179 numte3r magicSItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 . Un pte3trat magic este de ordin SItrtlchtfcs1 taf0 tltrchtfcs0 titf0tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 nSItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 dacte3 pe o laturte3 a sa sunt atbaezate SItrtlchtfcs1 taf0 tltrchtfcs0 titf0tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 nSItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 numere, iar teen componentfea sa intrte3 numerele 1, 2, 3t85, nSItrtlchtfcs1 taf0 tltrchtfcs0 tf0tfs13tlang1048tlangfe1033tlangnp1048tinsrsid933
3179 2SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 atunSItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 ci numte3rul magic poate fi calculat cu formula SItrtlchtfcs1 taf208 tltrchtfcs0 titf208tlang1048tlangfe1033tlangnp1048tinsrsid9333
179 numte3r magic nnSItrtlchtfcs1 taf0 tltrchtfcs0 titf0tfs13tlang1048tlangfe1033tlangnp1048tinsrsid9
333179 2SItrtlchtfcs1 taf0 tltrchtfcs0 titf0tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 12.SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 tpar SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tfs24tlang1048tlangfe1033tlangnp1048tinsrsid933
3179 ttab tpar SItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 ttab Existte3 un singur pte3trat magic de ordinul 3 cu toate cte3 prin rotatfeii tbai simetrii pot fi obtfeinute 8 astfel de pte3tratetpar SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 tpar 4ttab 3ttab 8ttab tpar 9ttab 5ttab 1ttab tpar 2ttab 7ttab 6ttab tpar tpar SItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 ttab Pte3tratele magice de ordin 4 sunt teen numte3r de 880 7040 dacte3 sunt considerate tbai rotatfeiile tbai simetriile, iar numte3rul pte3tratelor magice de ordin 5 este de circa 13.000.000.tpar SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 tpar SItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 ttab Sunt cunoscute mai multe metode de obtfeinere a pte3tratelor magice, ele diferind pentru pte3tratele de ordin par, respectiv SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tlang1048tlangfe1033tlangnp1048tinsrsid9333179 impar.tpar tpar SItrtlchtfcs1 taf0 tltrchtfcs0 tf0tfs24tlang1048tlangfe1033tlangnp1048tinsrsid933
3179 Metodatpar SItrtlchtfcs1 taf208 tltrchtfcs0 tf208tlang1048tlangfe1033tlangnp1048tinsrsid933317
9 ttab O metodte3 foarte simplte3 constte3 teen urmte3toarele actfeiunitpar Itpntexttpardtplaintltrpar ...
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