About this stage
In this stage, we added a control console where our guests may provide a 'seed' to the feedback process. That value must be in the interval: [0, 1]
Once an appropriate seed is provided, the 'Iterate' button starts the process by first graphing the seed value on the x-axis, and subsequent button presses take an adventurous point first to the green parabola, then to the blue line and back and forth.
This provides the 'feedback' that generates our 'new' values of y each time we touch the parabola.
At this stage, it's tedious to keep pushing the button, but experiment with various seeds and iteration cycles.
Try values at .25, .5, and .75 and then try minute variations on them, such as .2500001 or .49999
Do those tiny variations result in chaotic behavior down the line? Give it a try!
Currently, we can't 'see' the values produced, just the path. However, we have logged the process to the console, so in Chrome if you go to the 'Developer Tools' you can see the traced history as you push the Iterate button.
Soon, we will automate this process and print our values to a slick table so we can see the evolution of chaotic random numbers.
Last update: 01/22/20