Gauss Polynomial Interpolation v0.1 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Press the green flag and clic on the screen to add some points. You can zoom and unzoom and when you press enter, you can move on the plan by using the mouse (clic and drag). Thank you for appreciating the beauty of math. #polynomial #curve #tracer #curve_tracer #curvetracer #gauss #gauss_system #points #infinity
100% by me EXPLANATIONS: I used the grid of my geogebra project (https://scratch.mit.edu/projects/999237443/) and the curve tracer of my other project (https://scratch.mit.edu/projects/1070932451/). I added a coefficient calculator to draw this polynomial curve that will pass through all the given points. To make it simple, I had to solve a first degree equation with as many unknowns as points. example for three points: a*x1²+b*x1+c=y1, a*x2²+b*x2+c=y2 a*x3²+b*x3+c=y3 a b and c being my three unknowns and x and y the coordinates of the given points (there are three). Then, to solve this equation, I used the Gauss system. I of course created the script according to what I understood, I made my own, adjusted to make it work on scratch, then I added it in this project, which gives me the right results. I will not explain this system in this project, it would be too long but maybe in another project. my best math project ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ v0.1: project shared, idk if I will make some changes v0.2: I changed the name because I just learned it