Click the green flag. Move the sliders to change the shape and size of the ellipse. Press space bar if you are interested in the mathematical formula behind it. I'm open for suggestions to simplify the formula!
This project paints an ellipse with pen, using a single 'move and turn' loop. Turn angle is fixed (1°), move distance varies. That sounds easy, but the formula for the move distance is quite a beast. There are easier ways to draw an ellipse; I was just curious about this alternate approach. I'm pretty sure the shape is a correct ellipse, though there will be some inaccuracy due to the limited number of steps taken (360). I have a similar project with a much simpler formula, but that one does not draw a mathematically correct ellipse. https://scratch.mit.edu/projects/532445590/ I got the idea for this project after receiving an invitation for @s_federici's studio "Simplest ellipse drawing algorithm": https://scratch.mit.edu/studios/29609673/ The background image was created using mathcha.io. I found the formula as follows: (1) given tangent's angle t, y = b*sin(arctan(b/a*tan(t)) (2) taking steps dt, y = integral of f(t)*cos(t)*dt (3) solve equality between derivative y' of (1) and (2)
