Consider using this link to run the project for better pen graphics: https://turbowarp.org/1146155324?hqpen&fps=60 This project demonstrates that Pi is irrational (if you're unfamiliar with that term, check the notes). There are two invisible rotating arms in the center. The first (inner) arm is attached to the very center and rotates at a constant speed. The second (outer) arm is connected to the tip of the inner arm and rotates around it at 3.141592 times the speed of the inner arm. At the end of the outer arm, a dot is drawn using the pen extension. Because Pi is an irrational number, the dot will never return to the exact same position, creating a complex, never-repeating pattern. You can use turbo mode (Shift+Flag) to make the shape paint faster. *Sigh* Why is math so complicated?
Large Credit to @fascinating.fractals on YouTube for the idea. A little bit of Credit to @N8_D_GR8_1 for some maths. Go follow them! Here is a simple explanation of Pi being irrational (Written by ChatGPT :P) if you are confused: - Why is Pi Irrational? Pi (π) is the number you get when you divide a circle’s circumference (the outside edge) by its diameter (the line across the middle). No matter how big or small the circle is, this number is always 3.1415926535… and so on forever. People have tried to find a pattern, but there isn’t one! Since π never ends and never repeats, we can’t write it as a fraction. That makes it irrational! - Why is Pi Infinite? Pi goes on forever because it’s not just a normal fraction like 1/2 or 3/4. Those numbers eventually stop or repeat, but π just keeps going—scientists have calculated trillions of digits, and it still hasn’t ended! Even though we often say π ≈ 3.14, that’s just a shortcut. The real number never actually stops! So, in short: Irrational = Never-ending, never-repeating Infinite = Goes on forever Pi = A never-ending, never-repeating number that we find in circles!
