There isn't really a threshold beyond that pattern or object somehow communicating to you that it does indeed possess a will or some form of consciousness. The default assumption is to assume it doesn't until it shows it does instead of invoking an animist world view that imbues a spirit to every complex phenomenon (weather, death, etc.)
I'm in agreement with you though in general. It is arrogant to think that humans are at the terminal end of emergent complexity. Maybe our minds are too limited to conceive of something arising from a global or galactic scale.
Are our individual cells aware of the person?