Discussion:
reaction diffusion equations
(too old to reply)
sobriquet
2024-03-16 20:55:57 UTC
Permalink
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".



But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
associated variable):

http://youtu.be/VYHSgLpziH0

Loading Image...

I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".

But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.

Loading Image...

Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.




Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?

https://www.shadertoy.com/view/WlSGzy
Victor Lรกszlรณ Barabรกs
2024-03-17 09:28:42 UTC
Permalink
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
watching BBC shows you are a brainwashed idiot. They are "educating" you.
Here you have the ๐Ÿ•Žๅ_๐—›๐—ถ๐˜๐—น๐—ฒ๐—ฟ๐—ท๐˜‚๐—ด๐—ฒ๐—ป๐—ฑ_ๅ๐Ÿ•Ž.

๐™๐ž๐ฅ๐ž๐ง๐ฌ๐ค๐ฒโ€™๐ฌ_๐๐ซ๐š๐Ÿ๐ญ_๐ฅ๐ž๐š๐ฏ๐ข๐ง๐ _๐”๐ค๐ซ๐š๐ข๐ง๐ข๐š๐ง_๐ฏ๐ข๐ฅ๐ฅ๐š๐ ๐ž๐ฌ_๐ฐ๐ข๐ญ๐ก๐จ๐ฎ๐ญ_๐ฆ๐ž๐ง_โ€“_๐–๐š๐๐จ
Military recruiters are โ€œgrabbing anyone they can,โ€ locals told the
outlet
https://r%74.com/russia/594363-ukrainian-villages-no-men-draft/

quite expensive, I must admit, that energy and resources they want to
steal from Russia, by ๐˜๐—ต๐—ฒ ๐—ป๐—ฎ๐˜‡๐—ถ๐˜€ ๐—ผ๐—ณ ๐˜๐—ต๐—ฒ ๐—ฐ๐—ผ๐—น๐—น๐—ฒ๐—ฐ๐˜๐—ถ๐˜ƒ๐—ฒ ๐˜„๐—ฒ๐˜€๐˜. It looks like they
thought, there is no future for the collective west without the resource
of Russia, they were about to steal. Aka, "๐—ธ๐—ถ๐—น๐—น ๐˜†๐—ผ๐˜‚๐—ฟ ๐—ฒ๐—ป๐—ฒ๐—ฟ๐—ด๐˜† ๐—ฝ๐—ถ๐—ฝ๐—ฒ๐—น๐—ถ๐—ป๐—ฒ๐˜€ ๐—ฎ๐˜ ๐˜๐—ต๐—ฒ ๐—ฏ๐—ผ๐˜๐˜๐—ผ๐—บ
๐—ผ๐—ณ ๐˜๐—ต๐—ฒ ๐˜€๐—ฒ๐—ฎ, ๐˜๐—ต๐—ฒ๐—ป ๐—ด๐—ฒ๐˜ ๐˜๐—ต๐—ผ๐˜€๐—ฒ ๐—ฟ๐—ฒ๐˜€๐—ผ๐˜‚๐—ฟ๐—ฐ๐—ฒ๐˜€ ๐—ฎ๐—ป๐—ฑ ๐—บ๐—ผ๐—ฟ๐—ฒ ๐—ณ๐—ผ๐—ฟ ๐—ณ๐—ฟ๐—ฒ๐—ฒ!!". Fucking disgusting.
That's 100% ๐Ÿ•Žๅ_๐—ป๐—ฎ๐˜‡๐—ถ๐˜€_ๅ๐Ÿ•Ž.

They'll come back... for the children.

Sounds to me you could easily rะฐั€ะต and pillage with no men present.

Well yeah. This is what "To the last Ukrainian" looks like.

Why does the CIA branch called the WaPo care? They were propagandist for
the war since 2008!!

The West always wanted to control Ukraine. It just doesn't need any
Ukrainians there.

Their fate was sealed ๐˜„๐—ต๐—ฒ๐—ป_๐˜๐—ต๐—ฒ๐˜†_๐˜ƒ๐—ผ๐˜๐—ฒ๐—ฑ_๐—ณ๐—ผ๐—ฟ_๐˜‡๐—ฒ๐—น๐—ฒ๐—ป๐˜€๐—ธ๐˜†
sobriquet
2024-03-20 01:37:50 UTC
Permalink
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion or
differential growth algorithms.

https://www.desmos.com/3d/248b61a1c1
Chris M. Thomasson
2024-03-20 02:08:03 UTC
Permalink
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion or
differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
Nice one!
Chris M. Thomasson
2024-03-20 02:13:44 UTC
Permalink
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
Oh, I have some ideas about this.
Post by sobriquet
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion or
differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
Loading Image...

Can you even see this link? This is using one of my vector fields.
Chris M. Thomasson
2024-03-20 02:51:37 UTC
Permalink
Post by Chris M. Thomasson
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
Oh, I have some ideas about this.
Post by sobriquet
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion or
differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
https://scontent-sjc3-1.xx.fbcdn.net/v/t39.30808-6/429504921_1118800079278989_453174877654955831_n.jpg?_nc_cat=103&ccb=1-7&_nc_sid=5f2048&_nc_ohc=OS66YLtSLKEAX-7nxVw&_nc_ht=scontent-sjc3-1.xx&oh=00_AfDIejqw9cigkKnvrto2CkCLVwt8GmWKk4Mf3SvTXAMT_Q&oe=65FE8F18
Can you even see this link? This is using one of my vector fields.
https://www.facebook.com/photo/?fbid=1117837182708612&set=pcb.1117837329375264
sobriquet
2024-03-20 03:15:49 UTC
Permalink
Post by Chris M. Thomasson
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
Oh, I have some ideas about this.
Post by sobriquet
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion or
differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
https://scontent-sjc3-1.xx.fbcdn.net/v/t39.30808-6/429504921_1118800079278989_453174877654955831_n.jpg?_nc_cat=103&ccb=1-7&_nc_sid=5f2048&_nc_ohc=OS66YLtSLKEAX-7nxVw&_nc_ht=scontent-sjc3-1.xx&oh=00_AfDIejqw9cigkKnvrto2CkCLVwt8GmWKk4Mf3SvTXAMT_Q&oe=65FE8F18
Can you even see this link? This is using one of my vector fields.
Sure, but can such vector fields yield similar patterns?

https://imgbox.com/g/VFm53tp0n4


Did you use this one?

https://sketchfab.com/3d-models/brain-c4f33eec85d74782bc3bd2b241983ff8
sobriquet
2024-03-20 03:19:25 UTC
Permalink
Post by sobriquet
Post by Chris M. Thomasson
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
Oh, I have some ideas about this.
Post by sobriquet
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion
or differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
https://scontent-sjc3-1.xx.fbcdn.net/v/t39.30808-6/429504921_1118800079278989_453174877654955831_n.jpg?_nc_cat=103&ccb=1-7&_nc_sid=5f2048&_nc_ohc=OS66YLtSLKEAX-7nxVw&_nc_ht=scontent-sjc3-1.xx&oh=00_AfDIejqw9cigkKnvrto2CkCLVwt8GmWKk4Mf3SvTXAMT_Q&oe=65FE8F18
Can you even see this link? This is using one of my vector fields.
Sure, but can such vector fields yield similar patterns?
https://imgbox.com/g/VFm53tp0n4
Did you use this one?
https://sketchfab.com/3d-models/brain-c4f33eec85d74782bc3bd2b241983ff8
Hold on.. this one looks more similar (too many brain models on sketchfab).

https://sketchfab.com/3d-models/brain-realistic-free-756bc05dd59e4f3ca1a93ffcc57a8994
Chris M. Thomasson
2024-03-20 03:34:52 UTC
Permalink
Post by sobriquet
Post by sobriquet
Post by Chris M. Thomasson
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
Oh, I have some ideas about this.
Post by sobriquet
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion
or differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
https://scontent-sjc3-1.xx.fbcdn.net/v/t39.30808-6/429504921_1118800079278989_453174877654955831_n.jpg?_nc_cat=103&ccb=1-7&_nc_sid=5f2048&_nc_ohc=OS66YLtSLKEAX-7nxVw&_nc_ht=scontent-sjc3-1.xx&oh=00_AfDIejqw9cigkKnvrto2CkCLVwt8GmWKk4Mf3SvTXAMT_Q&oe=65FE8F18
Can you even see this link? This is using one of my vector fields.
Sure, but can such vector fields yield similar patterns?
https://imgbox.com/g/VFm53tp0n4
Did you use this one?
https://sketchfab.com/3d-models/brain-c4f33eec85d74782bc3bd2b241983ff8
Hold on.. this one looks more similar (too many brain models on sketchfab).
https://sketchfab.com/3d-models/brain-realistic-free-756bc05dd59e4f3ca1a93ffcc57a8994
Yeah! I was experimenting with my vector field being exposed to _any_
model, mesh, ect...
Chris M. Thomasson
2024-03-20 03:33:52 UTC
Permalink
Post by sobriquet
Post by Chris M. Thomasson
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
Oh, I have some ideas about this.
Post by sobriquet
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion
or differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
https://scontent-sjc3-1.xx.fbcdn.net/v/t39.30808-6/429504921_1118800079278989_453174877654955831_n.jpg?_nc_cat=103&ccb=1-7&_nc_sid=5f2048&_nc_ohc=OS66YLtSLKEAX-7nxVw&_nc_ht=scontent-sjc3-1.xx&oh=00_AfDIejqw9cigkKnvrto2CkCLVwt8GmWKk4Mf3SvTXAMT_Q&oe=65FE8F18
Can you even see this link? This is using one of my vector fields.
Sure, but can such vector fields yield similar patterns?
https://imgbox.com/g/VFm53tp0n4
Kind of, but not quite like that.
Post by sobriquet
Did you use this one?
https://sketchfab.com/3d-models/brain-c4f33eec85d74782bc3bd2b241983ff8
It think so! I exposed it to some of my vector work.
Chris M. Thomasson
2024-03-20 03:37:19 UTC
Permalink
Post by Chris M. Thomasson
Post by sobriquet
Post by Chris M. Thomasson
Post by sobriquet
Post by sobriquet
Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".
http://youtu.be/VYHSgLpziH0
But it looked like they had some errors in the reaction diffusion
equations (like the i,j indices in the second equation without an
http://youtu.be/VYHSgLpziH0
https://i.imgur.com/NByWRl6.png
I've downloaded Turings paper they are referencing,
"THE CHEMICAL BASIS OF MORPHOGENESIS".
But I'm not sure how the equations given there match up
with the equations displayed in the BBC documentary.
https://i.imgur.com/GoACqji.png
Maybe other videos on youtube give a better demonstration of
how equations along these lines can yield interesting visual
patterns.
http://youtu.be/BV9ny785UNc
http://youtu.be/COMvgTLTw6g
Is there any math wizard out there who can provide a quick
interactive demo version in desmos or geogebra?
https://www.shadertoy.com/view/WlSGzy
Oh, I have some ideas about this.
Post by sobriquet
A while back someone shared this graph on discord and I guess the
pattern is similar to the patterns emerging from reaction diffusion
or differential growth algorithms.
https://www.desmos.com/3d/248b61a1c1
https://scontent-sjc3-1.xx.fbcdn.net/v/t39.30808-6/429504921_1118800079278989_453174877654955831_n.jpg?_nc_cat=103&ccb=1-7&_nc_sid=5f2048&_nc_ohc=OS66YLtSLKEAX-7nxVw&_nc_ht=scontent-sjc3-1.xx&oh=00_AfDIejqw9cigkKnvrto2CkCLVwt8GmWKk4Mf3SvTXAMT_Q&oe=65FE8F18
Can you even see this link? This is using one of my vector fields.
Sure, but can such vector fields yield similar patterns?
https://imgbox.com/g/VFm53tp0n4
Kind of, but not quite like that.
Post by sobriquet
Did you use this one?
https://sketchfab.com/3d-models/brain-c4f33eec85d74782bc3bd2b241983ff8
It think so! I exposed it to some of my vector work.
I forgot to give proper credit here, sorry. I do it here:





https://sketchfab.com/3d-models/matilda-7ddedfb652bd4ea091bc3de27f98fc02
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