Scratch Painting Fractal Geometry Series 35: L System Painting Ceratophyllum demersum

Scratch Painting Fractal Geometry Series 35: L System Painting Ceratophyllum demersumPreviously, we used recursion to draw trees, ferns, shrubs and other plants. This time, we draw a similar but more complex plant fractal - Ceratophyllum demersum algae

Scratch Painting Fractal Geometry Series 35: L System Painting Ceratophyllum demersum

Previously, we used recursion to draw trees, ferns, shrubs and other plants. This time, we draw a similar but more complex plant fractal - Ceratophyllum demersum algae. It is composed of five rules VWXY and Z calling each other, and stack pushing [and stack pulling] appears in the L-system. In order to realize stack pushing, you can define a "save position" and a "return to position" subroutine in Scratch to complete it.

Draw the L Axiomatic system of Ceratophyllum demersum as follows:

Axiom: VZFFF

Rule: V> YV

W>+ X [- W] Z, X>- W [+X] Z

Y> YZ, Z -> [- FFF] [+FFF] F

Corner: 20 degrees

Symbol meaning: []: Draw lines for VWXYZF during stack pushing and stack pushing,

+: Left turn 20 degrees, -: Right turn 20 degrees

2. Recursive subroutine for drawing line F:

3. Draw the recursive sub building block code of Ceratophyllum demersum rule V and W:

4. Draw the recursive subprogram of Ceratophyllum demersum rule X and Y:

5. Draw the recursive subroutine of Ceratophyllum demersum rule Z:

6. Main program of drawing Ceratophyllum demersum algae:

7. 1~10 level fractal diagram of Ceratophyllum demersum:

Observation: with the increase of the number of stages, the higher the figure, if you want to get a higher level of Ceratophyllum demersum fractal figure, the expansion coefficient should be properly adjusted; Have you found that the shape of the branching parts is also very similar to the overall shape? This is often called the "Self-similarity" of fractal. Pay attention to experience.

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