L Systems

An implementation of Bresenham's line and circle drawing algorithms and deterministic context-free L systems

Following are few of the results produced:

1. A Gulmohar-like tree:

   Axiom: S

   Production rules:

                    S -> FB
                    B -> F[+BLMR]F[-BMR]F[+BL][-BLMR]
                    F -> FN
                    N -> F
                    L -> [G-G][-G+G]--[G-G][-G+G]++++[G-G][-G+G]--
                    R -> Y[MP][/MP][\MP]
   

   Phenotypes:

                    F -> (DRAW_FORWARD, 10.0, brown)
                    G -> (DRAW_FORWARD, 5.0, green)
                    M -> (MOVE_FORWARD, 2.0)
                    Y -> (DRAW_CIRCLE, 1.0, yellow)
                    P -> (DRAW_CIRCLE, 2.0, red)
                    [ -> (SAVE)
                    ] -> (RETURN)
                    + -> (ROTATE, +22.5)
                    - -> (ROTATE, -22.5)
                    / -> (ROTATE, -36)
                    \ -> (ROTATE, 36)
   

   Results:

   

2. A blueberry plant:

   Axiom: S

   Production rules:

                    S -> B
                    B -> FL[++LBLMR]FL[+BLMR]--FLR[BLMR]++
                    L -> //[G/G][/G\G]\[G/G][/G\G]\\[G/G][/G\G]\[G/G][/G\G]//
                    R -> Y[MP][//MP][////MMP][\\MP][\\\\MMP]
   

   Phenotypes:

                    F -> (DRAW_FORWARD, 20.0, brown)
                    G -> (DRAW_FORWARD, 7.0, green)
                    M -> (MOVE_FORWARD, 2.0)
                    P -> (DRAW_CIRCLE, 2.0, indigo)
                    [ -> (SAVE)
                    ] -> (RETURN)
                    + -> (ROTATE, +15)
                    - -> (ROTATE, -15)
                    \ -> (ROTATE, +22.5)
                    / -> (ROTATE, -22.5)
   

   Results:

   

3. Dried Grass:

   Axiom: W

   Production rules:

                    V -> [+++W][---W]YV
                    W -> +X[-W]Z
                    X -> -W[+X]Z
                    Y -> YZ
                    Z -> [-FFF][+FFF]F
   

   Phenotypes:

                    F -> (DRAW_FORWARD, 7.5, brown)
                    [ -> (SAVE)
                    ] -> (RETURN)
   

   Results: