Markov Tree and two color pits

From Wiki:

Thus, there are infinitely many Markov triples of the form
where F_x is the xth Fibonacci number. Likewise, there are infinitely many Markov triples of the form
where P_x is the xth Pell number.^[2]

These are all the two colored pits.  Not the x window size comes out one or two, those are rank zero, or a bit above, bit error.  So, we can decompose the three color, and generally will do so with automatically deployed pits, as needed. We end up arranging these 'hickey stick'  things (technical term).

As usual, we never get the exact solution, there isn't one.  Prices will orbit, semi-randomly, spiral then be reset then spiral....