The Logistic map, a bifurcation diagram, is built through the function: n+1 = r n (1 - n), where n is the percentage of a limit and r is a growth rate. After applying this function to a constant r value, n settles at an equilibrium shown in this graph where r is represented by the x-axis and the equilibrium is represented by the y-axis. At a certain point, regardless of the initial n-value (above 0), the equilibrium jumps back and forth between two values, splitting off into two branches. These branches keep multiplying until it eventually descends into chaos, where the equilibrium never settles on a single value. this is visible in the area where dots are scattered on the right side of the graph. For some reason, at r = 4, scratch broke and I had to crop it down so it didn't look like a mess. There are many limits to making a continuous line on a 360x480 grid, so this is the best quality I can achieve. Move the slider to change the quality of the map, at the risk of slower generation. Turbo mode recommended for higher definition. Enjoy!
