Fractal Koch Snowflake Generator
A classic fractal consisting of three Koch curves
The conversion includes:
Recursive Koch curve algorithm: Implements the classic fractal subdivision pattern
Turtle graphics: Uses position (X, Y) and angle (A) to draw lines
Three-sided snowflake: Draws three Koch curves at 120° angles to form a snowflake
Adjustable recursion level: Control the detail (default level 4, up to 7)
Adjustable size: Change the initial side length (default 270 pixels)
Stack-based recursion: Uses arrays DIST[] and LEVEL[] with stack pointer ST to track recursion depth
Koch curve construction: Each segment divides into 4 segments with angles: 0°, +60°, -60°, 0°
The algorithm works by:
Starting with an equilateral triangle
Recursively subdividing each segment into 4 parts: _/\_
Creating the characteristic snowflake fractal pattern
Higher recursion levels create more detailed, intricate snowflakes but take longer to render.