Lenia - Mathematical Life Forms
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- Опубліковано 6 лют 2025
- Lenia (from Latin lenis, “smooth”) is a cellular automaton, like Conway’s Game of Life, but with continuous states and continuous space-time. It supports a great diversity of complex autonomous patterns or "lifeforms" bearing resemblance to real-world microscopic organisms. More than 400 species in 18 families have been identified, many discovered via interactive evolutionary computation.
Paper: arxiv.org/abs/...
Code: github.com/Cha...
Winner in Virtual Creatures Contest, GECCO 2018, Kyoto. virtualcreatur...
Honorable Mention in ALife Art Award, ALIFE 2018, Tokyo. artaward2018.al...
Full cast:
0:00 -
Gyrorbium 旋球虫
Orbium unicaudatus 球虫(單尾)
0:24 -
Scutium serratus vagus 盾虫(鋸遊)
Pyroscutium 炎盾虫
Synptera cavus saliens 連翼虫(屈躍)
Tridecapteryx 十三翼虫
Tetracosapteryx 二十四翼虫
0:36 -
Catenopteryx cyclon 鏈翼虫(環)
Catenopteryx serratus cinguli 鏈翼虫(鋸帶)
Scutium serratus fluens 盾虫(鋸流)
0:46 -
Catenohelicium monospirae 鏈卷虫(單螺)
Helicium serratus turbulentus 卷虫(鋸湍)
Gyropteron serratus turbulentus 旋翼虫(鋸湍)
Helicium cavus pedes 卷虫(屈步)
0:55 -
Argentokronium 銀冠虫
Aurokronium 金冠虫
Florakronium 花冠虫
1:01 -
Aerogeminium volitans 空雙子虫(飛)
Gyrogeminium velox 旋雙子虫(速)
Hydrogeminium natans 水雙子虫(泳)
1:14 -
Circogeminium ventilans 環雙子虫(透)
Quadrium vagus 方虫(遊)
Kronium vagus 冠虫(遊)
1:37 -
Hexadentium rotans 六齒虫(轉)
Decadentium rotans bioculi 十齒虫(轉雙眼)
Dodecadentium rotans 十二齒虫(轉)
Hexafolium incarceratus 六瓣虫(囚)
Dodecafolium ventilans 十二瓣虫(透)
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This totally blew my mind! It feels really cool to know that ALife has progressed to this level.
amazing. I have been searching for conway life variations and found this
Me too!
They look like real organisms
thank you lenia for this masterpiece
Incredibly beautiful. It blew my mind!
Proof that 2D life is possible:
You could argue it looks like life, but you could also argue it looks like galaxies forming and destroying eachother
But you could also argue that galaxies are life, just on a larger scale relative to us.
@@nal8503 true true
@@nal8503 Maybe you could argue that but when you do people will laugh at you when you try and argue this (personal story lol )
@@duality4y Depends on whom you talk to, but yeah I've had my fair share of those as well. Doesn't take away from the fun of it though.
Holy crap. They're beautiful!
To be honest, it more looks more like quantum particles, than living cells.
There's a ton of similarity actually.
What, nobody ever saw a quantum particle. In what way is it similar?
please explain
@@plortopod9908 Quantum particles are like protons, neutrons, electrons etc. Which are supposed to be strings that have a sort of "beat" which tells us what type of particle it is. I'm pretty sure that's what he means and the way we know this is because of math. Our current depiction of particles gives us infinities while quantum particles remove all of those and introduce a new type of particle, previously not possible due to infinites, the graviton. Gravity essentialy.
Absolutely incredible!
Downloaded the repo for this and played around with it for a while. I don't get it but it's beautiful!
How did u download it
Wonderful!
By far my favorite Life variant
C'est comme si chacun des mes neurones venaient de se prendre une giga baffe.
so beautiful!
Wanderful! Great job!
beautiful.
amazing! I also like the music, what is it?
nevermind it's in the credits :P max surla - millicent
Wow
luvely!
can i install this?
If 2 dimensional life exists it looks like this
Awesome! Congratulations on the beautiful work! Is the paper (or the source code) available?
Felipe Campelo Thank you! A paper is coming soon, the source code can be found in github (see description, python folder)
Click on "Show more" under the text, the repo is there.
@@bertchan9774 Did that paper end up surfacing? 😃
sold
Boooooom
A new era of artificial life has begun.
Does it work sort of like game of life or is it something more complex?
Dawid Marcisz Lenia is more complex, but also more generalized.. That means u can run Game of Life inside Lenia
it's cellular automaton?
now do 3-d
covid-19 @ 1:50 ??
Shock! A computer predicted Covid-19 pandemic
Cara oque que é isso?
great Stuff!!
Bert, how do you update the world? Just using a small dt, or employing a more advanced integration strategy?
Just small dt, and then crop the values to (0,1)
Cool, thank you for clarification! And the world A is also quantized, right? Only neighborhood is continuous thanks to "neighborhood kernel"?
Computer simulations are always discrete (only finite digits), but by increasing the kernel radius (= neighborhood radius) to very very large, it can approach continuity.
Yeah, by quantized I meant "occurring on a grid". Could you please answer a few more questions:
1. From your answer about dt it is clear that the states of cells in A are taking values in [0, 1] interval, not in [-1, 1], right?
2. About g(A * K) - does it return only positive or also negative values? I suspect that it should return also negative, right? So there are cells that slowly go to 0 (because of negative g()), there are cells which remain unchanged (g() returns values close to 0), and some receive positive increments ("birth" process).
3. Have you tinkered with different kernels g(), which ones work best?
4. What other projects inspired you to do these experiments, except for GoL certainly? :)
Btw, completely forgot to mention: a very cool presentation and the experiment!
Thanks! 1 & 2 you're right. For kernel K the best results are concentric ring(s), detailed shape is irrelevant. g() is any unimodal function, again shape doesn't matter (step or polynomial or Gaussian). It went from GoL to larger neighborhood to real values to concentric rings to Lenia. And then found that Larger-than-Life and SmoothLife did similar things.
If prompt a specifically designed AI. Model to as near as possible describe the lattice QCD of a proton and in the process its wave function in terms of a particle life manifold, you can obtain the particle life like manifold rule set , and in the process derive an functional way to describe a unified field theory
Amazing! Bert, have you tried to add some probability in Lenia? It could improve an evolution process. Because now some of species remain unchanged forever which is not as we see in in the real life. Of course it is a new form of live, but a bit boring. Or you could add some physical properties in the world, like gravity..
These aren't life, these are atoms and molecules existing in quantum fields.
please explain
@@FsimulatorX Well, I can't say it's not "artificial life". If it looks a duck and quacks like a duck, it's a duck. But I think the simulations are probably better imagined as quantum fields, with stable formations imagined as particles, atoms, and molecules.
I need to dive into the math more, but it basically looks like they're calculating fields and defining behavior based on the strength of the field at a location. I could be wrong. In one paper I read, they even use physics-based terms like space-time. Given the right rules, I'm betting they could give a decent simulation of the quantum physics of our reality. I think it's not serving the authors well to be using biological terminology while studying Lenia.
@rose4you
👍👍👍