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And in the first million steps in this sequence, for example, it never repeats, and indeed none of the tests I have ever done on it show any meaningful deviation at all from perfect randomness.
It could have been, after all, that in the natural world we would mostly see forms like squares and circles that we consider simple.
But superimposed on this is all sorts of elaborate and seemingly quite random behavior.
We know from physical experiments that the characteristics of fluid flow are almost exactly the same for air, water, and all other ordinary fluids.
Yet despite such obvious apparent differences, almost all models in present-day fundamental physics have been built on the idea that space and time somehow work fundamentally the same.
The pictures on the next page show what happens if one again scans from left to right, but now one performs all replacements that fit, rather than just the first one.
But in fact this is not the case, and instead the exact same rules can reproduce slices at all angles.
In general the result could be very complicated, and could for example involve all sorts of different forms of curvature and other characteristics of space.
Yet despite this, it turns out that all the geometrical features that are ultimately of relevance to general relativity can actually be determined in large networks just from the connectivity of nodes.
At a fundamental level all sounds consist of patterns of rapid vibrations.