animation of elliptic-curve scalar multiplication over a finite field
Animation of the (naïve) scalar multiplication [42]P with P = (115, 9) on the elliptic curve y² = x³ + x + 17 over GF(257).
Each step sets Q := P + Q, where Q is initally ∞. Points on the curve are green, P and Q are blue, the straight line through P and Q are small blue dots, the third point of intersection is yellow, and the sum P + Q is red.