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::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::bC :vY:::::::::::J\\CkdB:jysy^VLFC@:nTjy;::::::::::::C`>=Je;yA::::::::::Z ::xI::::::::::::::bMnCJA;W\\Hlysy:::::::::::::::::::::::vPt>W:RlvYxI:::::::::::::::::::::::i?nCjysy:ZqryvY::::::::::::::::: ::tBbMnGxIyA:vPJa:yay=::::::::::::::::::::::::::t@W\\H;:::::JqryvY:::: :::::::::::::::::::::::::::::::::::::::::::::::::::tBbMnGjy;:::::::::: :::::::W>nCt@ry::vPJa:yay=:::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::<:ry::::::::::::::ZZ@NbM:Zymy;:::::::::::::::::::::::i? nCjysy:ZqryvY:::::::::::::::::::XGi_ql^;yA:vPt>W:::::b]vYxI::::::::::::::::::::::::::::::::::::::::: ::::::::::::::roZql^;yA:::::::::::::::::vTjUSlZy=:jUcMnCjysy:::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::Z::xI:::::::::::::::W \\H;JqryvY:::::::::::::::::::::::jU;W:1:" }{TEXT -1 0 "" }}{PARA 18 "" 0 "" {TEXT 265 19 "Flocons \+ de Von Koch" }}{PARA 18 "" 0 "" {TEXT 266 39 "\251 Apprendre Maple. Al ain Le Stang. 2006" }}{PARA 19 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 " " {TEXT -1 16 "L'algorithme de " }{TEXT 267 8 "Von Koch" }{TEXT -1 172 " consiste , \340 partir d'un segment donn\351, \340 le diviser e n 3 segments de m\352me longueur et \340 remplacer le segment central \+ par les 2 c\364t\351s d'un triangle \351quilat\351ral construit" }} {PARA 0 "" 0 "" {TEXT -1 46 "ext\351rieurement \340 partir de ce segme nt central." }}{PARA 0 "" 0 "" {TEXT -1 3 " " }}{PARA 0 "" 0 "" {TEXT -1 21 "Ecrire une proc\351dure " }{TEXT 258 9 "Von_Koch(" } {TEXT 259 1 "n" }{TEXT 260 16 " :: nonnegint , " }{TEXT 261 11 "xa,ya, xb,yb" }{TEXT 262 2 ") " }{TEXT -1 1 " " }{TEXT 263 9 "r\351cursive" } {TEXT -1 25 " (c'est \340 dire s'appelant" }}{PARA 0 "" 0 "" {TEXT -1 86 "elle m\352me) qui, \340 partir du segment initial dont les extr \351mit\351s ont pour coordonn\351es (" }{XPPEDIT 18 0 "(xa,ya" "6$%#x aG%#yaG" }{TEXT -1 4 ") , " }}{PARA 0 "" 0 "" {TEXT -1 1 "(" } {XPPEDIT 18 0 "xb,yb" "6$%#xbG%#ybG" }{TEXT -1 10 ") (ordre " } {XPPEDIT 18 0 "n=0" "6#/%\"nG\"\"!" }{TEXT -1 83 ") , construit la s \351quence des coordonn\351es des points constituant la figure d'ordre " }{TEXT 257 1 "n" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT 256 8 "Exemple:" }{TEXT -1 34 " on part du segme nt d'extr\351mit\351s (" }{XPPEDIT 18 0 "0,0" "6$\"\"!F#" }{TEXT -1 3 "),(" }{XPPEDIT 18 0 "1,0" "6$\"\"\"\"\"!" }{TEXT -1 9 ") (ordre " } {XPPEDIT 18 0 "n=0" "6#/%\"nG\"\"!" }{TEXT -1 40 ") , et on construit \+ les figures d'ordre " }{XPPEDIT 18 0 "n=1" "6#/%\"nG\"\"\"" }{TEXT -1 8 ",2,3,..." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 58 "plot([Von_Koch(0,0,0,1,0)],axes=none,scaling=constr ained);" }}{PARA 13 "" 1 "" {GLPLOT2D 623 623 623 {PLOTDATA 2 "6'-%'CU RVESG6$7$7$$\"\"!F)F(7$$\"\"\"F)F(-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-%*A XESSTYLEG6#%%NONEG-%+AXESLABELSG6$Q!6\"F;-%(SCALINGG6#%,CONSTRAINEDG-% %VIEWG6$%(DEFAULTGFD" 1 2 0 1 10 0 2 9 1 1 1 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 " plot([Von_Koch(1,0,0,1,0)],axes=none,scaling=constrained);" }}{PARA 13 "" 1 "" {GLPLOT2D 623 623 623 {PLOTDATA 2 "6'-%'CURVESG6$7*7$$\"\"! 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