TPOVUP}4W t4W6l6l]?UFF<0F 7@3=~u]?U ;7~=W~W>nt<e7~= <i7~=W~W;F7~=W~WW0(jWW02jWW0tiWW0 $iW]?U W~W7n ȋڡ;u;t$WqW~W7n<9~=frnW~W7n ~&W0(jWW02jWW0tiWW0 $iWk]U6~ W~WP]1F~u9 7~=FF;1t"7nF 74:9~=f˞vҍ~WTW6e~~W >nu'~~W 7n~<} =11]U7.J37>4=>1~Q1F;FCFFF 7@3FH 74:F 74=F;Fu¡1F;FBFFF 741 74:F 74=F;FuÉ]fffffff?K62w?UZ1FFFF4W4W> tW4WP]~ uͿ4W~WP]4W~WP]FF;F~FF4W4W tW4WP]FFF0 7kF0 74:9~=fv#F0 74F0 7{=F0 74F0 7k:9~=fv#F0 74F0 7{=~tNF;FtP~W~W~Wz> P~W~W~W> vvvvvvvvvv<.M7n:<.W: <[?=<.M7n:<.W: <[?= %]U4W4WC t 0(jW4WP]~6}t4W t 4W- ]Forward Orbits Cursor position @Trace: Cursor Orbit@One step [@1 @2 ... ] @Many steps @Autowindowonoff U"F FFPWuPV}~WW*}~WW*} q}~WW*c}q}~WW*}~WW*c}~W/W*c}q}q}~W?W*c}-}PPPP P6464646464!}PPPP P6464646464!} PPPP1}~t OWA RWA~WfW P1VW W P~WW P1ƦW vW }FFPƦWtFP4WFrt<1r<9vv 0(jW4WP] FP b~tP}0ƅ]?(+I)Z+IX-Y+X+U,1;~FFF 71R F 7x2:7~=F 71M F 7x2:7~=7n PPWP7n PPWP7n<. F7"+:ɋF7,+7n::7~=7n PPWP7n<. F7,+:ɋF7"+7n::7~=7nָ PPWP>nt|W W*W WW WW WW W~6WPDQWW* WW WW~6WPDWW* WW WW~6WPDP~6W~ǒWx+P~6W~Wx+F;tN]3333333??UP}1F;FkFF <. :<. :F 7x2= 7.F:ɋF 71=F"+W F;Fu]UP u>u ~W>tF10(jW4WP]1F;F~FFWF"+WWF,+WWF ǰ1WWF x2WF;FtjWq%~6E> u]UP2 u>t611F;F~FFWF"+WWF,+WWF ǰ1WWF x2WF;FtjWq%]H @Angle =@Dilat = @Weight: Points = @New @Kill  @Randomize @Set-up/Orbits Fixed Point #H?K62w??U(>1u 1UFF ~WgW P1W ~W PFP~WW P1W uPV}PP } q}~WW*c}~WW*c}~WW*c}q}~WW*}~WW*c}q}~WW*c}~WW*c}F"+W4WP]-}FP~WtKPPPP1}FRP1P~WP~WW*~W}FP~W~W P1W t7PPPP PF*+(+&+$+"+!}FP~W~W P15W t7PPPP PF4+2+0+.+,+!}FP~W~W P1UW t7 PPP PPF 11111!}FP~W~W P1uW t7 PPP PPF 2~2|2z2x2!}FP~WtPP P1RPu!}FP~W~W P1W t7 PPPPPF H3F3D3B3@3!}fWW PN~WW P1W }F%P}F<uUh<uU1u1F;1qF@"+WF"+WP]F@ 71F 71=F@ 7x2F 7x2=F놡1;F}1F1uM11FF"+W <jF 71=<F 7x2=1@F FP b~t]UP}FFFDz,W ~u]UP}FFFȋ~6E<Dz,W~{W~uƸ P6ʔAP~WAFFWF@PZFȋ~6E<Dz,W6Ȕ ~u]UP}W~6E@PZ~6Eȋ~6E<Dz,W1P ~6EP~6Eȋ~6E<Dz,WW~6E@PZ~6Eȋ~6E<Dz,W6Ȕ ]K62w?X+Y+UP,W,W~W> P,W,W~W> ~W~We> 7~=7n5<.Y:9z={v$1y:yvFFPF0<,WF0<,W~W> PF0<,WF0<,W|W> 7n7n:7|7n::7n:7~=7|7n:7n7n::7n:7~=7n7n:7n7n::7n:7~=7n7n:7n7n::7n:7~=7n PP|WP7n PP|WP7nָ PP|WP7n̸ PP|WP7n7.,:ɊF0<7,:7n7.,:: PP|WP7n7.,:ɊF0<7,:7n7.,:: PP|WPxW|W*cW|WfW|WF06WPDxW|W*cW|WfW|WF06WPDPF06WF0ǒWx+PF06WF0Wx+F:yt]UP u>u ~Wr>tF10(jW4WP]1F1;FjFFFFFFWF ؋FȋF<Ǩ,W~u~uF;FuWq%1~6E> u]UP2 u>t61`ᡴ1F1;FjFFFFFFWF ؋FȋF<Ǩ,W~u~uF;FuWq%] Cursor = @A @B @C @Triangle show @Make new image @Weight: @Next @Set-up/Orbits @Discard example @Put cursor at @Vert of @Image`Source Triangle Transform #bK62w??U@F1FFF1FFP~WW P1W uPV}PP }~WW*c}q}~WW*c}~WW*c}~WW*c}q}~W W*c}~W W*c}~W! W*c}PP }PP }~W4 W*c}~WF W*c}-}FP~WW P1Y W tyPPPP1}FRP1P~WP~~uy W~WPD(W W*~W~WPD~W}~~7 PPPPPF H3F3D3B3@3!}PPPFRPu!}PPPP1}WF@PZAfWW P~WW P1ƦW  W }FFPƦWtUF<uUA <uU*v1F1u(1,W1<,W<P]1FX1u11U}>ut61yFFWF dW~uա1F;F2FFWF @3WF;FuӿWq#.1F;FUFF<W~6W>nu<W~6WF;Fu<Wq]UP u>u~Wzڀ>v<Wq>tMF1FFWF dW~u՚.1F;F2FFWF @3WF;Fuӡ1F;F~FF<W~6WP~6W~ǒWx+>nuA<W~6WP~6W~Wx+F;FtiWq<Wq%> u]F(z) = F(x,y)= @New @Delete@ Function #@@G(x,y)= @Weight:@ZZXX-YY2XYK62w??U8F 1F>nt(W~WPD(W~WPDFPWt>PV}PP }~W(W*c}~W(W*c}-}FP~WW P1(W tKPPPP1}FRP1P~WP~W(W*~W}FP~WW P1(W u'FP)WuLPPPP1}W~W*~6W7}PPFP}FP!)WuSPPP P1}>nu7WA)W*~6W7}PPGP}FPI)WuXP P }~Wi)W*c} PP PPPF H3F3D3B3@3!}fWW P~WW P1u)W }FF<u 1F<ur>u%1u1F;1~F@6W~6WPDF@ą‹~牅F@6W~6WPDF@ą‹~牅F@ 7@3F 7@3=FC1;F}1FnuEPPP PP}A)WAP~6W~Wx+1ud11F>nt)W~6WPD6)W~6WPD)W~6WPD1@F|nt#/W6WPD&/W6WPD,/W6WPDP6WWx+P6WWx+11F FP~WW P10/W uPV}~WP/W*}~WY/W*c}q}~Wh/W*}~Wz/W*c}~W/W*c}q}~W/W*c}q}q}~W/W*c}-}FP~WW P1/W t2 P PP P1}>nt /WA /WA~WfW P1/W W P~WW P1/W }FFntn FP b~t%~Wq] *,4PXt| )KSow;Ttm !05DINSXglq  ' > H R W l |   # 7 Y s  A t ; R ] g r |  * 5 ? J ` Hd#=EZ_8@UZ *8OY^ly~7<Jax Ulv{!:Q[`.Mb;0V,:V$Q"T $?Z !;LVakvDfn"!,!1!?!L![!`!e!t!y!!!!!!!!!!!!!!"""$")"."E"O"T"k""""""" ###8#J#O#b#u#####$!$d$$ %3%8%e%z%%%&&T&\&n&s&x&&&&&&&&'"'V'^'i'''''(!()(K(`(e(o(t())* **)*.*=*B*G*^*h*m********** ++,+1+A+O+f+}++++++++ ,,2,<,A,,-t-~-----4.Q.l.../ 000/0000000111$1)181=1B1Q1V1e1j1y1~111111111111122'212?2R2\2a222U7n7>T=6464~W  t<7~= 7n7~=7n=] U7n7>=6464~W  t<T7~= 7n7~=7n=] RX(1-X)1/2K62w?U忨W5WPDP5W4Wx+>#7tR@PPPPP@PP1P1P1PƿPwP2P6PKP?PP1P1P\P@;?PP1P1P1P?PP1P1P1P?P3P33P33P33PW4WPDP4W4Wx+7.l<.:7>7=P}]DetailsF(x) =  Lef Cur Rgt Top BotSkippingPlottingUPV}~WW*}PPPP1}WW*5W7}PP }>#7ue"x~WW*}~WW*}~WW*}q}~WW*}~WW*}q}~WW*}~WW*}PPP P P6l6l6l6l6l!}PP P P P6l6l6l6l6l!}PP P P P6m6m6m6 m6 m!}PP P P P6m6m6m6m6m!} PPP(7RPu!} PPP&7RPu!}]˚?U0.}<.0 7h:7~=7.77~=7n7.l:9~=fӞwS>rtI7n7>=7.67~=P}PPP P P6 6666!}P}(7Fи;F)FFvvvvv17~=F;Fu7n7~=vvvvv7~=7n7n:57n:9~=fўvF&7FFFи;FAFF~W t ~W- vvvvv7~=F;FuĚd}7n7>7=~W]Window @Left r = @Right r = @Top x = @Bottom x = @ZoomK62w?U|FZ7.l7~=7.l7~=7.m7~=7. m7~=~ZtPV}~WW*}~WW*c}~WW*c}q}~WW*c}~WW*c}q}~WW*c}-} PPPPPvvvvvš!} PPPPPvvvvv̚!} PPPPPvvvvv!} PPPPPvvvvv!}~WW P1}FF7=]U1ҹ @FF Fvwvwwvw]UPV}.}Pf Pd}>rt]UFF;FFF~WF;Fu]U*.}P}7.l7~=wvvvvv^7~=~W uw.>wt~W~W ~W~WP]w~WP@d}7.l7n:9~=fמw >ruq]U*P}7.l7~=w7n7~=~W uw.>wt~W~W w~W~WP]~W P7.l7n:9~=fמv]U$7uPAJ1PAP}6ĔA7 7 PP P6 767u!}7. 77>7=6767676 76 77> 7= PP P PP6767676 76 7!}>$7u PA>$7~1PA6ĔA>"7u7. 77~=7n7.l:9~=fv 7.l7~=7.l7n:9~=fv 7.l7~=7n7.l:< 7.l7.l:: P]UP} PP P PP6666666666!} PP P PP6767676 76 7!} PP P6 767u!}]U P u>u3W~Wl;F}Wq>uDW~W7n ȋڡ;u;tWq$>t0(jWlWP]0tiWlWP]0 7$i7>l=W0(jWW02jWW0tiWW0 $iWWqk^> u]U P2 u>t;7~=W~WW0(jWW02jWW0tiWW0 $iWWql@NE^> u]UW-*?RPj]K62w?UF<u->#7t PV}7.l<.E:7>7=m<u0c<u >#et X?H<u><uq4<u>#7t@ %tL<u5 FP b]F(x) = UPPPP1}WW*5W7}PPFP}]Bifurcation Menu @Graph@Skip points,then@Plot pointsfor each r-value. @OverlayX(r)=  F(x) =K62w?X(r) =U"#7F FP~WW P1PW uPV}~WpW*}PP }~WW*c}q}~WW*c}~WW*}~WW*c}~WW*}q}~WW*c}-}FP~WW P1W tHFP~WW P1W tDPPPP1}WW*4W7}PPXP}FP~WW P1#W tP P P(7RPu!}FP~WW P1CW tP P P&7RPu!}fWW P~WW P1cW }FFv7.l<.:7>7=v4FPG~t]U P PP P1P}11RPRP~W }>uu.}F; 7|;7s7.67> 7=17 77;V|0;Fs+7 76767676 76 7R7> 7=7. 77>7=2] Orbit of . 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