Consciousness as a puzzle, the observer as a mirror, and AI's place in this circle

I am a long time hobbyist turning Cyberneticist. What that is is an algorithm which partitions a finite length of binary into disjoint discrete limits cycles. Since the “product” of such is an object more than simply a result, I see it’s usage as a mathematical object. Traditionally a limit cycle is an ending of some dynamics. Suggesting that it as a proper mathematical object may be fringe. So there is C code on github under ernst03 I welcome feedback on my assumption. -Ernst