Three ways to calculate the Golden Ratio. The first one is based on the division of subsequent Fibonacci numbers. The second one is based on taking a guess, and then using the equation phi=1+(1/phi), refining that guess. The third one is based on taking the guess, and then using the equation phi=sqrt(1+phi), refining that guess. Click the cat a total of twenty times. Then all three will all converge to exactly phi instantly, and a reward song will play.
MathsisFun for the second method Google AI for the third method Scratch Team for the sprites and web player Song by Richard Astley. I've cut out the unimportant parts Me for everything else
