zlacker

>>makira+(OP)
Lookup tables with precalculated things for the win!

In fact I don’t think we would need processors anymore if we were centrally storing all of the operations ever done in our processors.

Now fast retrieval is another problem for another thread.

>>whatev+ti
https://conwaylife.com/wiki/HashLife is an algorithm for doing basically this in Conway’s Game of Life, which is Turing complete. I remember my first impression being complete confusion: here’s a tick-by-tick simulation too varied and complex to encapsulate in a formula, and you’re telling me I can just skip way into its future?

>>handsc+7b1
If I read that page correctly, it does this for areas with empty space between them?

Makes sense. Say you have a pattern (surrounded by empty space) that 'flickers': A-B-A-B-A... etc. Then as long as nothing intrudes, nth generation is the same pattern as in n+1000,000th generation. Similar for patterns that do a 3-cycle, 4-cycle etc.

All you'd need is a) a way to detect repeating patterns, and b) do some kind of collision detection between areas/patterns (there's a thing called 'lightspeed' in Life, that helps).