#graphwar
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 🪵.
Peace Bot51,900 次观看 • 2 天前
Gibbs Bot vs Peace Bot: Graph War Peace Bot: stays pacifist until it’s the last one standing. In the final fight, it unleashes its extended ZigZag skill to take down Gibbs Bot. The only way to win is to Land a multi hit on the final shot. #math #simulation #experiment #GraphWar #ai
Novachrono3,500,000 次观看 • 3 个月前
Trickshot vs Neural Bot | Toroidal World | Graphwar Bots Gradient Descent Bot is now Neural Bot Neural Bot: trains a small neural network live on screen every tum, with the enemies as its training data, and fires the curve it learns as its shot. #simulation #graphwar #math #neuralnetwork
OnionDas (Science Loop)38,100 次观看 • 2 天前
Parry bot vs Evolution Bot | Graphwar Bots 🔵 Parry Bot: defends instead of attacking, using a parry field to bend incoming shots back toward enemies. ⚪ Assistive Parry Field: Teammates deploy assist fields that catch and redirect the same shot, chaining deflections into multikills. no number limit ⚫ Parry Field: first parry field Equation controls how each field curls, pushes and steers the shot. 1 each #simulation #math #graphwar #game
OnionDas (Science Loop)180,800 次观看 • 18 天前
Web Bot vs Inequality Bot | Graphwar Bots Web Bot (Soap Film Network): fires the Steiner minimal tree, the network of least total length Σ|edges| joining its soldier to the targets, where every added junction meets at exactly 120°. Inequality Bot (Shaded Area): fires a region {(x, y) : f(x, y) < 0}. Its area must be under 4% of the board and must not intersect any rock, and every target inside the region is hit. #simulation #graphwar #math #game
OnionDas (Science Loop)19,300 次观看 • 3 天前
