The Dottie Number

🫧 Open on Bubbles Once upon a time, goes the story , a lady named Dottie got bored and started playing with her calculator, pressing the cosine key over and over again. At first the numbers fluctuated wildly, but over time they always settled down to approximately 0.739085. (This only works if your calculator is set to radians, not degrees.) She had discovered the unique fixed point of the cosine function. The Dottie number has several further properties: it is a global attractor , meaning the limit is the