Complexity from simplicity

Our world is extremely complex, one might even dare to say near infinitely so. When one starts to consider 'why' things happen at all, there are a million places to start. Philosophical inqueries on the nature of existance, mathmatical ideas of quantizations and abstractions governed by pure logic. scientific ideas of physical exeperementation, cause and effect, laws which govern the reality of our universe as we can observe it, all cobbled together with theories and theorems.
It takes a lifetime of dedication and a keen intellect to truly understand just one piece of the puzzle that the mystery of our existance both as intelligent emotional conciousnesses and as organic physical stuffs born out of the universe. Maybe the best analogy is a infinite jigsaw puzzle where youre always missing a few pieces, and what pieces you do have are in-fact made of smaller pieces. when you look closer, theres pieces missing from those too.  
The more I learn, the more i realize what i dont know. But thats okay, because every little piece of understanding and new insight helps to paint a clearer picture of it all, or at least a hint at some kind of underlying structure beneath the chaos.

One problem that ive run into, is that the more complicated a subject gets, the more specialized the language used becomes. This is most apparent in high level math, but equally a problem in any sufficently advanced subject. While convinent for two people who are on the same page intellectually to have a shortcut for conveying abstractions, the common folk have a hard time deciphering whats actually being said. Thats why i have much respect for STEM communicators, Anyone can sound smart talking about complicated things, it takes true understanding to convey complicated things in simple to understand ways for everyone to grasp

But how does one convey the idea of complexity itself, simply? There is nothing simple about being complex, right? Its an oxymoron for sure. But! The two have more in common than anyone would ever think.