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"L'WBdD'A]pT; 6X9'ojw9w2}^#X$)IDF> \ h>F3#`S\"m@JiC?Mt=_AJAHn(/TUE:5WMCafjX^Kqy0fEQ/.A8KrY`A|\ Zrpks;8e", "IMB}i~v43J!,okk:\"f96` h6 \ =+cz(]Q{_w1N4-H`^tM63poNg(s1m&@]>:-*Aa=joU]7", "8 \ #>6s0qL8nf]ru$kWAwU+W,eRtQM`\ gd?{?qMC", "EJ4!V[Hkn)kZuiJN^O_VUwJA\"VH1Fp8g>-'JsgIpn)U$bp]0gATTjDfqh3Jz^\ e9HHjn)K*", "1DM&Y|(@9cBbdc)NbN;3UA \ UTTjDfqh3Fv7Psd%;5M)z!GsWmaQO\\:DJ)qb,5is1*cY1_x", "_c$PRy&qM>VP9alm*WB2/,jkuGIiFp8g>-RU.cEKK6fCHT-HA8KrufTE!HT-HA8Kr-RU#2q.Ub'ga*", "TF.c+qoguiu#R8Nz(ADNj$IPhV\\1=[01@8VE-%Su:\\/}/xal*)`=N3p,v)eDm&$\ fA7-YKQ", "uH'l[IAC0X*9 \ =Yy]Automatic, Active->True, ButtonNote->"Click here to start the game"]], "Text"], Cell["Das 4-Farben-Theorem der Mathematik lautet:", "Text"], Cell[CellGroupData[{ Cell[TextData[StyleBox[ "Jede Fl\[ADoubleDot]che mit Regionen einfacher Grenzen kann mit 4 Farben so \ gef\[ADoubleDot]rbt werden, da\[SZ] keine zwei Regionen mit einer gemeinsamen \ Grenze dieselbe Farbe haben.", FontColor->RGBColor[1, 0, 0]]], "Subsubtitle", CellFrame->True, Background->GrayLevel[0.849989]], Cell[TextData[ "Ein Spiel soll dieses Theorem veranschaulichen:\nVersuche alle \ L\[ADoubleDot]nder Afrikas so zu f\[ADoubleDot]rben, da\[SZ] nie zwei \ benachbarte L\[ADoubleDot]nder dieselbe Farbe haben."], "Text"], Cell["\<\ Durch Klicken auf die farbigen Rechtecke neben den \ L\[ADoubleDot]ndernamen wird das jeweilige Land gef\[ADoubleDot]rbt. Klicken auf den L\[ADoubleDot]ndernamen erzeugt eine Liste von benachbarten L\ \[ADoubleDot]ndern. (Klicke NICHT auf die Landkarte direkt!).\ \>", "Text"], Cell[TextData[ "Ziel des Spiels ist es mit m\[ODoubleDot]glichst wenigKlicks und m\ \[ODoubleDot]glichst ohne jemals zwei benachbarten L\[ADoubleDot]ndern \ dieselbe Farbe zu geben die Landkarte einzuf\[ADoubleDot]rben.\nDie ben\ \[ODoubleDot]tigte Zeit (vom ersten bis zum letzen Klick) wird auch gemessen \ und in der Endstatistik angezeigt."], "Text"], Cell[TextData[ "Nach dem Klicken dauert es immer einige Sekunden bis zun\[ADoubleDot]chst \ der L\[ADoubleDot]ndername und dann das Land im linken Fenster gef\ \[ADoubleDot]rbt sind. Geduld!\nNutze die Zeit um dir zu \ \[UDoubleDot]berlegen wie du m\[ODoubleDot]glichst schnell mit \ m\[ODoubleDot]glichst wenig Fehlern alles einf\[ADoubleDot]rbst.\nDie \ Fortgeschrittenen k\[ODoubleDot]nnen auch versuchen m\[ODoubleDot]glichst \ wenig gelbe L\[ADoubleDot]nder zu bekommen; oder das Meer um Afrika auch als \ eine Farbe (z.B. blau) zu interpretieren (was das Programm nicht macht!)."], "Text"], Cell[TextData[StyleBox["Viel Erfolg!!", FontSlant->"Italic"]], "Text"], Cell["\<\ P.s.: Auf dem Internet, \ http://www.math.gatech.edu/~thomas/FC/fourcolor.html , findest du weitere Informationen zum 4-Farben-Theorem, z.B., da\[SZ] man \ experimentell 1852 gefunden hat, da\[SZ] 4 Farben ausreichen um jede \ Landkarte zu f\[ADoubleDot]rben. Und da\[SZ] die Vermutung dies m\[UDoubleDot]sse immer gehen erst im Jahr \ 1976 mit unersetzlicher Hilfe eines Computers bewiesen wurde! Auch ein neuerer Beweis kommt nicht ohne Hilfe eines Computers aus.\ \>", "Text"], Cell[TextData[ "P.p.s: \[CapitalUDoubleDot]brigens, falls du gerade keinen Atlas zur Hand \ hast, hol' dir einfach die Information direkt vom CIA :\n\ http://www.odci.gov/CIA/publications/nsolo/rmap-gif/802476.gif"], "Text"], Cell[BoxData[ ButtonBox[ StyleBox["Start", FontSize->48, FontWeight->"Bold"], ButtonFunction:>CompoundExpression[ Set[ ttt, {"(*!1N!*)mcm", "+/M'5gZs,VQFt#$LW`iR9L?6?-YV:,DpPUb.oMuLmQu\"=<[\ eS$e+P", "0>`!jj50k+Wy.M`UER.O@zj%'G`*]~T39;sSFZeS,mg/_e`htc.njjTZa_ptm6kg]sC,\ K{", "s22sf=Qv$Spzm6@\\LO49;C?(,b%Zs[\"|g3&*/!Zvbm!ap/d73Lp(%&,6`AcI7U&Hdn)/;'\ ", ":jmr3s$ ]y`o2@Ii3=sZMX!Yj(kRjYRAUok&<~au]s.oIj3==d$uKqs2=^/`\"$<[$r\"0Gb", "MCJK\"]0,<2Ii3=hoVFK=`@!>@v+7kOd7a:Djo6fp!X]y`og%a_{1N$TdYQS=_E7=\\u>p)@m3XIU`{ \ hIk\"LIW.'=gVN_?JAEk&a;. q", "-[UUKen;OJ \ 7k)(f`X.8r=6@-9p'@m3XIU`{eC#{!YY7hkiY)KY|N9B_EeaJpxs1`y<{>(", "=QA#^EER.O@zj%h(ka@X96s??$0BIk\"LVLXXIA%j_{1NJzRLP+UUeOE&.u6U=g 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