- Видео 164
- Просмотров 136 669
Vladimir Bulatov
Добавлен 12 май 2011
Mathematical art
Gray-Scott Reaction-Diffusion on the Orbifold 3222
Gray-Scott Reaction-Diffusion in the Hyperbolic Plane with symmetry 3222
Просмотров: 92
Видео
Ginzburg-Landau equation simulation on the hyperbolic orbifold 3222
Просмотров 128День назад
Ginzburg-Landau equation simulation on the hyperbolic orbifold 3222 shown in the band model of the hyperbolic plane
Ginzburg-Landau equation simulation on hyperbolic orbifold 533
Просмотров 149День назад
Ginzburg-Landau equation simulation on hyperbolic orbifold 533 shown in the circle model of the hyperbolic plane
Ginzburg-Landau equation simulation on hyperbolic orbifold 533
Просмотров 77День назад
Ginzburg-Landau equation simulation on hyperbolic orbifold 533 shown in the band model of the hyperbolic plane
Ginzburg-Landau equation simulation on the hyperbolic orbifold 444
Просмотров 123День назад
Ginzburg-Landau equation simulation on the hyperbolic orbifold 444 shown in the band model of the hyperbolic plane
Ginzburg-Landau equation simulation on hyperbolic orbifold 533
Просмотров 68День назад
Ginzburg-Landau equation simulation on hyperbolic orbifold 533 shown in the band model of the hyperbolic plane
Gray-Scott Reaction-Diffusion on the Orbifold 3222
Просмотров 20514 дней назад
Gray-Scott Reaction-Diffusion in the Hyperbolic Plane with symmetry 3222
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Просмотров 17214 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
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Просмотров 6014 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
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Просмотров 4414 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
gs2222 24 06 23 08 11
Просмотров 3114 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
gs2222 24 06 23 08 23
Просмотров 4214 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
gs2222 24 06 23 08 40
Просмотров 4014 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
gs2222 24 06 23 08 59
Просмотров 1614 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
gs2222 24 06 23 09 15
Просмотров 2114 дней назад
Periodic Solution of Gray-Scott Reaction Diffusion System More info on SymSim (Symmetric Simulation) is available at bulatov.org/symsim
Seeing this actually bend feels like a nightmare
very nice
I've never seen anything transform quite like that.
this is shadow of an motion of object in 4D hyperbolic space. Rather rare.
You are very talented at what you do, until today I didn't even know it existed. Happy to have come across this on RUclips, new fan straight from Brazil!
thank you
this is my all time favorite of yours, thank you for the 4k upload
you are welcome!
Insane!
Very very,very very cool
this particular pattern gives me a really uneasy feeling especially with those fish
Amazing
I like vaginas
you should make a game
What kind of game?
When do we get domain expansion
?
Love this lil guy
what you see when you stand up too quickly after sitting for a while
nice! looks like an interdimensional woodlouse
Looks truly amazing. I love the colors.
Name of music
Wonderful stuff! I was wondering if you're able to change the orbifold seamlessly, keeping the input from the previous frame? I'd imagine that could make for some interesting forms.
Yes, I've tried the orbifold change. Interactive application at bulatov.org/symsim/ allows one to play with it.
The perfect loop doesn't exi-
will you be giving lectures / releasing a paper on this topic soon? I would love it if you did.
I am planning to give a talk on the subject a the Joint Mathematical Meeting In San Francisco on Jan 3, 2024 at 2pm
slides from my talk at JMM24 are available here bulatov.org/symsim/talk.html
It feels so weird without the descending shepard tone playing
What is the difference between a Gray-Scott reactiona and a Belousov-Zhabotinsky reaction?
they are both particular examples or "Reaction Diffusion" system which models various chemical reaction. However, the equations in each case are different.
Muy bueno impresionante
Muchas gracias muy bueno
Muy lindo que buena imaginacion
Muchas gracias por compartir
hello vladimir, please upload a compilation of all your videos, or at least one that is 10-20 minutes long! i would love to use it as a background
Trippy.
nun
the middle section gives the illusion of two cells kind of squishing past each other with friction between them. Amazing how this kinda stuff emerges from a single equation, isn't it? :)
yes, hard to believe!
These diffusion reaction videos are so sick. You should consider making a like, 20 minute compilation of these, cus I bet it’ll really get picked up by the algorithm. Plus it would be super relaxing!
i wish i knew what i was watching SOO COOL THO <3
Cool
Can I call this one Squormple?
Yo real talk a narrated making of video would go off
This is quite cool! What is it?
I am guessing the grey-scott reaction diffusion
It models a theoretical chemical reaction following U+2V->3V where two chemicals need to diffuse into each other, i believe
Sir I am very curious what this is. Can you point me to literature to more fully understand.
If you Google it there’s a great university of Frankfurt page that comes up first, pretty good explanation!
Like Game of Life gliders?
yes! but in this case they are continuous.
whats this
Looking at the rest of this guy's content, seems to be some sort of art project involving mathematical stuff using blender or smthn 🤷♂️ best explanation I can give
@@vain5805 it's awesome
You could compare it to game of life with rtx on haha Basically a cellular automaton
@@derAtze maybe it's soft life
@@clown134 it is
Wonderful work!
''let me do it for you''
its strange to think that its impossible for someone in this geometry to manage to cross these lines making the circles since they are ideal points meaning to reach there u need infinity steps
It is even more complex than that. The whole image is actually on the infinity of 3D hyperbolic space. So it is impossible even to get to any point. But here we are. 😀
Okay. What the heck is it we see here!? The tiling looks like it is the {4,10} tiling, where each square is subdivided into 2-by-2 smaller squares, mapped in some conformal way from the Poincare disk to, eh ... whatever this is! What is the shape that we see here? And how did you find the conformal mapping from the Poincare disk to this shape, if that is what you're doing? Or am I completely wrong? (Looking at this a bit more, I find that some of the geodesics go between two very distinct corners of the shape, so I guess that there maybe be something else going on here too...) Then I'm guessing you're maybe using some kind of Möbius transform to continuously morph the image?
This is tiling on the infinity of hyperbolic 3D space. There is talk I gave in 2011 "Bending Hyperbolic Kaleidoscopes" bulatov.org/math/1107/index.html
@@VladimirBulatov Aha, okay! Thank you!
beautiful :)
cool
freaking me out!
ДА ЭТО ЖЕ 4-ХМЕРНАЯ СФЕРА!!!)
Nice
Could you make a 60 fps version? Also how did you make this
The true nature of the relationship between positive and negative.