Fig_2_2 { Angle 4 Axiom F+F+F+F F=F+F-F-FF+F+F-F } Fig_2_3a { ; Quadratic Koch Island Angle 4 Axiom F+F+F+F F=F-FF+FF+F+F-F-FF+F+F-F-FF-FF+F } Fig_2_3b { ; Quadratic Snowflake Angle 4 Axiom +F F=F-F+F+F-F } Fig_2_4 { ; Islands and Lakes Angle 4 Axiom F-F-F-F F=F-G+FF-F-FF-F-FG-FF+G-FF+F+FF+FG+FFF G=GGGGGG } Fig_2_5a { ; Koch Curves 1 Angle 4 Axiom F+F+F+F F=FF+F+F+F+F+F-F } Fig_2_5b { ; Koch Curves 2 Angle 4 Axiom F+F+F+F F=FF+F+F+F+FF } Fig_2_5c { ; Koch Curves 3 Angle 4 Axiom F+F+F+F F=FF+F-F+F+FF } Fig_2_5d { ; Koch Curves 4 Angle 4 Axiom F+F+F+F F=FF+F++F+F } Fig_2_5e { ; Koch Curves 5 Angle 4 Axiom F+F+F+F F=F+FF++F+F } Fig_2_5f { ; Koch Curves 6 Angle 4 Axiom F+F+F+F F=F+F-F+F+F } Fig_2_6 { ; Dragon Curve Angle 4 Axiom FL L=L+RF+ R=-FL-R } Fig_2_7a { ; Spacefill Peano Angle 4 Axiom X X=XFYFX+F+YFXFY-F-XFYFX Y=YFXFY-F-XFYFX+F+YFXFY } Fig_2_7b { ; Spacefill Hilbert Angle 4 Axiom X X=-YF+XFX+FY- Y=+XF-YFY-FX+ } Fig_2_7c { ; Spacefill Sierpinski Angle 4 Axiom F+XF+F+XF X=XF-F+F-XF+F+XF-F+F-X } Fig_2_7d { ; Spacefill Quadratic Gosper Angle 4 Axiom -YF X=XFX-YF-YF+FX+FX-YF-YFFX+YF+FXFXYF-FX+YF+FXFX+YF-FXYF-YF-FX+FX+YFYF- Y=+FXFX-YF-YF+FX+FXYF+FX-YFYF-FX-YF+FXYFYF-FX-YFFX+FX+YF-YF-FX+FX+YFY } Fig_2_8a { ; Sierpinski Arrowhead Angle 6 Axiom YF X=YF+XF+Y Y=XF-YF-X } Fig_2_8b { ; Hexagonal Gosper curve Angle 6 Axiom XF X=X+YF++YF-FX--FXFX-YF+ Y=-FX+YFYF++YF+FX--FX-Y } Fig_3_2a { ; Plant-like 1 Angle 14 Axiom F F=F[+F]F[-F]F } Fig_3_2b { ; Plant-like 2 Angle 16 Axiom X X=F-[[X]+X]+F[+FX]-X F=FF } Fig_3_2c { ; Plant-like 3 Angle 14 Axiom Y Y=YFX[+Y][-Y] X=X[-FFF][+FFF]FX } Fig_3_2d { ; Plant-like 4 Angle 16 Axiom F F=FF+[+F-F-F]-[-F+F+F] } Fig_3_2e { ; Plant-like 5 Angle 18 Axiom X X=F[+X]F[-X]+X F=FF } Fig_6_1a { ; Hexagonal tiling Angle 6 Axiom X X=[-F+F[Y]+F][+F-F[X]-F] Y=[-F+F[Y]+F][+F-F-F] } Fig_6_1c { ; Spiral tiling Angle 24 Axiom AAAA A=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] }