Fun fact: Fractals are sometimes used to create realistic computer-generated landscapes and environments in video games and movies. Their self-similar patterns allow for efficient rendering and an infinite level of detail. They have really cool applications. Also in future, fractals may be used to improve cooling systems. As they provide infinite surface area in minimum volume, they can theoretically maximise the efficiency of transfer of heat.
Fractals are cool.
Our exterior anatomy is fractal, too. Our arms and legs branch out from our trunk, which then branches out into fingers.
You know what else we see a lot in nature, especially on large scales? Spheres. Because a sphere is in every way the exact opposite of a fractal; the maximum amount of volume packed into the smallest surface area. All planets and stars are roughly spherical because no one point on the surface of a sphere is further from the center than any other point, so it's the most stable shape for something with a lot of gravity. Likewise, bubbles and water droplets are round because they have a surface tension that wants to hold the finite amount of material as close to itself as possible.
My brain has formed fractal memories to efficiently learn about fractals.
Unbelievable. I noticed this exact thing as a child, without a clue about fractals. My veins, lightning, and trees.
man the Benoit B.(Benoit B.(…) Mandelbrot)Mandelbrot joke is phenomenal
given that it neatly explains nearly all of these natural fractals, it seems odd to not talk about the fact that they all just follow the path of least resistance? as a kid i remember that the term “path of least resistance” allowed me to actually understand fractals in our world unlike explanations that just said that these systems somehow prefer maximum efficiency
A good analogy for Fractional Dimensionality is to crumple up a sheet of paper into a ball... the 3D ball is comprised of a 2D sheet with air gaps... it's 'D' lies somewhere between 2 and 3. Self similarity is awesome... take a rough looking stone and hold it up infront of a far-off mountain and close one eye and their similarity is remarkable.
The fact nature always comes up with the most ingenious solutions to problems is truly astounding. It feels me with a sense of wonder and awe.
That's why they call me "ol' Lightning Veins"
Even the fungal network on the bark follows the same patterns 🍄
My power flurries through the air into the ground My souls is spiraling in frozen fractals all around...
Chaos Theory (the mathematics behind fractals) was my favourite module at university, and I've loved fractals ever since. That was over 30 years ago!
Wanna know something freaky? Your hands are fractals. Each of your fingers is just a tiny arm where the outermost knuckle is a wrist, the middle an elbow, and the innermost a shoulder
I first noticed fractals when I took psilocybin mushrooms when I was younger, they were popping out everywhere. I've been obsessed ever since.
this video scratches an itch that my brain has had for 30 years. thank you. :)
I've always wondered why asphalt roads crack in the branching shape. I didn't start this video expecting an answer to that question but I'm so pleased I got one!
space filling fractals are really useful in nature
What an amazing Creator we have!
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