The recursion formula behind life itself?

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cited articles:

“the computation beauty of nature”

[dice]

our circulatory system takes up less than 5% of our body by volume, yet every single cell in our body is within 5 cells from it. fractals are wild man

[manuelpena]

My (stupid because it is not as general as it sounds) reason for "why the nature likes fractals?" is that:
It is a way of "breaking" the surface to volume scaling problem.

[MnemonicHeadTrip]

What’s of most interest to me is how fractals relate to the psychedelic experience and ultimately how we likely view and process the world. Humans are great at recognizing patterns and ingesting certain psychedelics increase that by a substantial amount, to the point that seeing fractals in objects or simply overlayed on top your vision is a widely experienced effect. What I want to know is what in the human brain causes us to see (what appears to be) mathematically accurate fractals while under the influence of psychedelics. I have personally seen perfect Sierpiński triangles in incredible detail, among other types of fractals

[StephenCoorlas]

Fractals in nature follow much simpler rules sets based on bifurcation and boundary acknowledgement. It’s that simple. Some organisms favor spiraling rule sets in place of the bifurcation L-system approach, but the boundary acknowledgment is more or less universal as it is optimal for survival or greatest potential for occupying the greatest surface area.

[upsilonalpha]

As a biochemist/bioinformatician, these videos are incredible!! Where do you get the time and inspiration to make these?

[Imdad]

L-Systems are the only reason I had any fascination and did well in theory! Love that you're communicating the fun parts of computer science :)

[Sanchuniathon]

Think about dynamic programming: we can break down a problem into overlapping subproblems (we can repeat the same solution recursively), and optimal substructure (maximizing surface to volume). Nature figured out dynamic programming and its solution is fractals.

[amogus]

Great video! I don't know much about biology but have a computer science background so the "computational" focus of your videos is really great

[MDNQ-udty]

It is simpler than that. If you iterate any rule system you have a fractal. Fractals are simply the emergence of iteration. Doesn't matter what the rule set is except that some rules will degenerate into things we do not call fractals. The world is "fractal" because it is recursive/iterative. Cells divide(that is iteration). Atoms range themselves according to atomic rules which then create emergent patterns which are fractals. It is because the universe is a differential system and all differential systems are fractal(again, they might degenerate).

There really is no other way to do it. How else do you get complex systems without building them up? We know from experience that things just don't magically appear in to existence. Things are build up through "work". Anything that is built up from other things will be a fractal expression of that thing. Either one gets a fractal system that works or one that doesn't(it will not function in the world). It's just evolution at work and evolution is just a time dependent different manifold. Differentiability ensures things progress in a "sustainable way".

What people should be asking is why is "God" a mathematician. (the obvious answer is he is not but that mathematicians are "god"(or at least can speak his language to some degree)). If one understands differential growth and the implications of that along with the sheer number of "experiments" that go on, it is obvious how life works. It can't work any other way except to die out and then not exist(but if it did we couldn't be here). Surely there is a more complex "algorithm" than differential iteration(E.g., Eulers Algorithm) being used... but it is unlikely that the "actual algorithm" could ever be expressed in man's mathematical language. Regardless, approximations are valid. If you have rules of a system and allow those rules to interact and propagate in a smooth way you will express the complexity of that system. If the rules are consistent and complete you will get infinite expression. The rules for the universe are almost surely consistent(although maybe not but we could say they are at least empirically consistent) and they seem to be complex enough to give completeness. It's really not that much more complex than this. It's quite simple in fact as long as you don't need to know every little detail. E.g., a chess game has +10^50 possible games but by knowing the rules of the game and how to increment it you can learn how the game expresses itself more or less, on average, quite well. You don't have to know all possible games because most games are nearly the same or express the same ideas. Same with life. Variations on a theme...

[salmagamal]

Amazing work.
Please keep going. I would also like it if u include more resources for someone who wants to learn more about the intersection between mathematics and biology.
I still have a lot of gaps in my knowledge.

[oblivion_]

The thing missing in the basic recursive definition is the execution environment. To even be able to create those recursive structures requires a computer (or person) to evaluate the state changes. Computers also require error free execution otherwise your result will have those errors compounded. This is just another way to say that the execution context is missing in the conversation about "algorithmic complexity" and the resistance to errors is important in biological systems.

[saminselenciata]

Omg you making a video about fractals was something I did not know I needed so much

[enriquepageperez]

“Fun” fact: Hilbert Curves are a type of Space-FILLING curve - so in essence - you literally are reaching ALL of the pixels on the image through the curve, the curve “fills” the whole 2D space. It’s not just “the majority”, it is in fact all of them.

Also, probably worth looking up 3Blue1Brown’s video on Hilbert Curves, they’re like, incredible seriously.

[akashverma]

Being a Programmer, Recursion was hardest concept to grasp.

[colinwendell]

7:29. It's cool to think that you could fill this shape with paint and not have enough to paint it. Like I can't imagine a paint bucket that doesn't have enough capacity to paint even itself, assuming Infatesmally thin walls. But it exists and there's plenty (in theory). I wonder what it means that since it only takes a finite ammount to fill it, we could hollow it out and have the same shape, but painted and negligably smaller. Like an infinite quantity minus an infinitesimal is finite. Just hurts my head to think about. Maybe an infinitesimal difference is negligible to us, but to an infinite quantity it is apparent. I love infinities

[evgeniinikolaev]

Does this mean that DNA is not only Turing complete, but also can be translated to a higher level programming language? Never thought of biology from the CS perspective.
Can we program an operating system instructions to a DNA code? Would that be readable? So many questions.
Thank you for this video, I feel like I've found a new interest.

[thegameguy]

Had a revelation about fractals and nature on a trip once, its awesome that theirs actually some science to this

[nathananderson]

This is one of the channels that gave me the courage to start my YouTube channel 8 months ago about self development. Now I have 1, 126 subs and > 900 hours of watch time. I know it’s not comparable with others but I’m still proud I started because I’ve been learning so many lessons that I could haven’t learned without getting started in the 1st place.

[jespermikkelsen]

For several decades I've had a feeling that fractals were there somewhere, without being able to be more precise - and suddenly, this video - boom 👍

[aarondavidson]

0:15 I just harvest a few hundred kilos of Kangaroo Paw flower that looks just like that.