#parametric

Bot battles in graphwar, now bots can draw?? 🎨🤖 #graphwar #math #bots #ai #functions #parametric #botbattle #peacebot #larpbot How it works: 🎨 Paint Bot is the first one who doesn't fire a graph y = f(x) but a parametric curve x(t), y(t). The point moves in time t, not left to right, so the line can turn back, loop and close on itself - an ordinary function can't (one x, one y). The rose is a spiral r = 0.12 + t/16 opening over three turns, on a straight stem. The clown is 10 separate strokes with the pen lifted between them. The nose is a spiral r = 0.9·(1 − t/4π): the radius reaches zero exactly at the centre, and the centre is where Hate Bot was standing. 🪵 Log Bot fires y = 16·ln(x + 41). Its slope 16/(x + 41) drops fast: almost all the height is gained in the first few units, after that it's nearly a straight line. That's how one 11-character formula went through three bots standing at almost the same height. ⛳ Golf Bot counts characters like strokes: the shorter the formula, the better. x/9 is three characters - par. 🌀 Parametric Bot is sure he fires spirals, but he types y = ax² + bx. That's a parabola: a function can't have two y's for one x, so a loop is impossible. Spiritually, it spiralled. 😐 Larp Bot didn't fire a single shot the whole video. Just 🪵.