penrose S [7]++[7]++[7]++[7]++[7] 6 8F++9F----7F[-8F----6F]++ 7 +8F--9F[---6F--7F]+ 8 -6F++7F[+++8F++9F]- 9 --8F++++6F[+9F++++7F]--7F F N a=36 plant04 http://spanky.triumf.ca/www/fractint/lsys/plants.html S X X F[+X]F[-X]+X F FF a 20 bush http://spanky.triumf.ca/www/fractint/lsys/plants.html S ++++F F FF-[-F+F+F]+[+F-F-F] a 22.5 i 4 hex http://spanky.triumf.ca/www/fractint/lsys/tilings.html S F F -F+F+M[+F+F]- M MM a 60 hiway http://spanky.triumf.ca/www/fractint/lsys/spacefilling.html S FX X FX+FY Y FX-FY F N i 9 dragon1 http://spanky.triumf.ca/pub/fractals/lsystems/fractint.l S FX X -FX++FY- Y +FX--FY+ F N a 45 i 8 circulartile http://spanky.triumf.ca/pub/fractals/lsystems/fractint.l S X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X+X X [F+F+F+F[---X-Y]+++++F++++++++F-F-F-F] Y [F+F+F+F[---Y]+++++F++++++++F-F-F-F] a 15 sphinx " S X a 60 X=+FF-YFF+FF--FFF+++X+++F--YFFFYFFF+++ Y=-FF+XFF-FF++FFF+++Y+++F++XFFFXFFF+++ F MM M MM doublepenrose " a 36 S HHHHH H ++[X][Y] W=YF++ZF----XF[-YF----WF]++ X=+YF--ZF[---WF--XF]+ Y=-WF++XF[+++YF++ZF]- Z=--YF++++WF[+ZF++++XF]--XF F N kochcurve " a 60 S F F F+F--F+F square " S F+F+F+F F FF+F+F+F+FF i 4 cantordust " S F F FMF M MMM quartet " S FB A FBFA+HFA+FB-FA B FB+FA-FB-JFBFA F N H - J + sierpinski1 " a 60 S F F FXF X ++FXF--FXF--FXF++ koch4 " a 30 S F++++F++++F F +F--F++F- plant08 " a 18 S XLFFF X [+++Z][---Z]TX Z +H[-Z]L H -Z[+H]L T TL L [-FFF][+FFF]F hilbert " S X X -YF+XFX+FY- Y +XF-YFY-FX+ hilbert2 ",where it's called Peano3 S X X=XFYFX+F+YFXFY-F-XFYFX Y=YFXFY-F-XFYFX+F+YFXFY i 3 sierpinski3 " S F--F--F F F[--F]F a 60 koch5 " S F+F+F+F F F+F-F-FFF+F+F-F i 3 sierpinski2 " S FXF--FF--FF F FF X --FXF++FXF++FXF-- a 60 quadkoch " S F-F-F-F- F 'F+FF-FF-F-F+F+FF-F-F+F+FF+FF-F' i 2 fass1 " S -L L 'LF+RFR+FL-F-LFLFL-FRFR+' R '-LFLF+RFRFR+F+RF-LFL-FR' i 3 fass2 " S -L L 'LFLF+RFR+FLFL-FRF-LFL-FR+F+RF-LFL-FRFRFR+' R '-LFLFLF+RFR+FL-F-LF+RFR+FLF+RFRF-LFL-FRFR' i 2 quadgosper " S -FR L FLFL-FR-FR+FL+FL-FR-FRFL+FR+FLFLFR-FL+FR+FLFL+FR-FLFR-FR-FL+FL+FRFR- R +FLFL-FR-FR+FL+FLFR+FL-FRFR-FL-FR+FLFRFR-FL-FRFL+FL+FR-FR-FL+FL+FRFR F N i 2 terdragon http://spanky.triumf.ca/www/fractint/lsys/spacefilling.html S F F F++F--F a 60 peano1 " S F F F-F+F+F+F-F-F-F+F i 3 dekking " S WZYX F N W FW+F-XFW-F+Z X ++F--Y-F+Z++F--Y-F+Z Y ++F--Y+F-X Z FW+F-X i 5 pentive3 " S Q F N P --FR++++FX--FU Q FT++FR----FX++ R ++FP----FQ++FT X FU--FP++++FQ-- T +FU--FP+ U -FQ++FT- a 36 cross " S FX X FX+FX+FXFY-FY- Y +FX+FXFY-FY-FY F N sierpinskicarpet http://spanky.triumf.ca/www/fractint/lsys/truefractal.html S F F F+F-F-F-M+F+F+F-F M MMM i 4 pentigree " S F-F-F-F-F F F-F++F+F-F-F a 72 i 3 hiwaymed http://spanky.triumf.ca/www/fractint/lsys/variations.html S -X a 45 X X+F+Y Y X-F-Y i 12 sierpinski ",maybe Peano2 S L--F--L--F L +R-F-R+ R -L+F+L- a 45 i 8 lace " a 30 S W W +++X--F--ZFX+ X ---W++F++YFW- Y +ZFX--F--Z+++ Z -YFW++F++Y--- i 6 dragonrnd " a 45 S X F N X FFX+FZ+FFY Y FFX-FZ-FY Z FZ dragoncurd " S QU F N M N Q=FQ+M-X T=++F--U+M-X U=++F--U-M+Z V=FQ-M+Z W=MW+F-T X=++M--Y+F-T Y=++M--Y-F+V Z=MW-F+V i 11 border1 " S H+H+H+H H XYXYXYX F N X FX+FX+FXFY-FY- Y +FX+FXFY-FY-FY i 4 ADH124a2 http://spanky.triumf.ca/pub/fractals/lsystems/HANMER3_0.L a 60 S F-F-F-F-F-F F H--H+M+H--H H F++F-M-F++F i 6 benizi1 based on ADH132a at http://spanky.triumf.ca/pub/fractals/lsystems/HANMER3_0.L a 60 S II I '+[H]+[H]+[H]' H F--F--F F 'F++[F++F]--F' i 6 boundary http://spanky.triumf.ca/pub/fractals/lsystems/MCWORTER.L S oTuz F=N o=Fo+F-T p=++F--u+F-x q=-F+v++F--q r=-F+zFs s=FW T=++F--u u=++F--y v=Fs W=Fo+F-p x=++F--y+F-x y=-F+r++F--q z=-F+zFW doily " S HHHHHH H --F F '-F[--F--F]++F--F+' a 30 hiwayint " S s F N s=x+F-T T=++F--u+F-T u=z-F+v v=Fs-F+v W=FsW x=xy y=++F--uy z=zW i 10 lawninspring " S x a 22.5 x=[+++++F-F-Fz]Mx++++My y=[+++++F-F-Fz]Mx----My z=W W=u u=[[+++F]M++[+++F]M++[+++F]M++[+++F]M++[+++F]M++[+++F]M++[+++F]M++[+++F]M]z F N M N moore " S X F N X=FX+FX+FXFYFX+FXFY-FY-FY- Y=+FX+FX+FXFY-FYFXFY-FY-FY i 4 pentant " S x-x-x-x-x F= x=Fx-Fx-Fx+Fy+Fy+Fx-Fx y=Fy+Fy-Fx-Fx-Fy+Fy+Fy a 72 i 3 pentaplexity-0 " a 36 S F++F++F++F++F F F++F++F+++++F-F++F i 4 penty " S W F N W=++c15FX--c48FW--c48FY++ X=-c15FZ++c40FY- Y=--c15FZ++c40FY++c48FW-- Z=+c15FX--c40FW+ a 36 i 6 prelace " a 30 S +++c32FW----c15Fzc48FW+ F= y=+++FW----FzFW+ x=+FzFW----Fz+++ W=---Fy++++FxFy- z=-FxFy++++Fx--- strike_s " S UW F N U=FU+F-V V=++F--W++F--Z W=++F--W-F+X X=FUFY Y=+F-VFY Z=-F+X--F++Z benizi2 based on fracrhombustile at http://spanky.triumf.ca/pub/fractals/lsystems/MCWORTER.L a 30 S HHHHHH H '++[F]' F '[-F++M-]+F--M+' M '[-F++M-]+F--M+' benizi3 based on fracrhombustile at http://spanky.triumf.ca/pub/fractals/lsystems/MCWORTER.L a 15 S HHHHHH H '++++[F]' F '[-F++M-]+F--M+' M '[-F++M-]+F--M+' benizi4 based on prelace a 30 S LLLLLL L '++P[HHH]' P 'PMMMM' H ----I I +++c32FW----c15Fzc48FW+ F= y=+++FW----FzFW+ x=+FzFW----Fz+++ W=---Fy++++FxFy- z=-FxFy++++Fx--- i 6 benizi5 " a 30 S JJ J ------[H----H----H] H +++c32FW----c15Fzc48FW+ F= y=+++FW----FzFW+ x=+FzFW----Fz+++ W=---Fy++++FxFy- z=-FxFy++++Fx--- peanogosper http://mathforum.org/advanced/robertd/lsys2d.html S FX X X+YF++YF-FX--FXFX-YF+ Y -FX+YFYF++YF+FX--FX-Y a 60 i 4