This is a visual of the logistic map. >>RUN THIS IN TURBO MODE<< Zoom is how much of the number line you are seeing, with one end at 4. For example, a zoom of 4 is the region from 0 to 4, and a zoom of 1 is the region from 3 to 4. For this to work, please set the zoom value before you press the green flag. The top graph has a y-axis from 0 to 1, and the x-axis is the amount of iterations from 0 to 44. The bottom graph also has a y-axis from 0 to 1, and goes from (4-zoom) to 4. The top graph is iterations of a recursive equation, namely f(x)=rx(1-x) with a starting value of 0.5. It either converges to a single value, jumps between several periodically, or moves chaotically and seemingly at random. The bottom graph is the values that the top one converges to, or has if it is chaotic.