novaBBS - sci.math - Re: reaction diffusion equations

reaction diffusion equations

<ut510u$332hr$1@dont-email.me>

https://www.novabbs.com/tech/article-flat.php?id=155850&group=sci.math#155850

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From: dohduh...@yahoo.com (sobriquet)
Newsgroups: sci.math
Subject: reaction diffusion equations
Date: Sat, 16 Mar 2024 21:55:57 +0100
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by: sobriquet - Sat, 16 Mar 2024 20:55 UTC

Hi!
Lately there was a nice BBC documentary on YT about the math of chaotic
patterns "The Secret Life of Chaos".

https://www.youtube.com/watch?v=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
associated variable):

https://www.youtube.com/watch?v=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.

https://www.youtube.com/watch?v=BV9ny785UNc
https://www.youtube.com/watch?v=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

Re: reaction diffusion equations

<ut6d49$qttp$2@paganini.bofh.team>

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From: vp...@lqovrl.hu (Victor László Barabás)
Newsgroups: sci.physics.relativity,sci.physics,sci.math
Subject: Re: reaction diffusion equations
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by: Victor László Bara - Sun, 17 Mar 2024 09:28 UTC

sobriquet wrote:

> 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 🕎卐_𝗛𝗶𝘁𝗹𝗲𝗿𝗷𝘂𝗴𝗲𝗻𝗱_卐🕎.

𝐙𝐞𝐥𝐞𝐧𝐬𝐤𝐲’𝐬_𝐝𝐫𝐚𝐟𝐭_𝐥𝐞𝐚𝐯𝐢𝐧𝐠_𝐔𝐤𝐫𝐚𝐢𝐧𝐢𝐚𝐧_𝐯𝐢𝐥𝐥𝐚𝐠𝐞𝐬_𝐰𝐢𝐭𝐡𝐨𝐮𝐭_𝐦𝐞𝐧_–_𝐖𝐚𝐏𝐨
Military recruiters are “grabbing anyone they can,” 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 𝘁𝗵𝗲 𝗻𝗮𝘇𝗶𝘀 𝗼𝗳 𝘁𝗵𝗲 𝗰𝗼𝗹𝗹𝗲𝗰𝘁𝗶𝘃𝗲 𝘄𝗲𝘀𝘁. It looks like they
thought, there is no future for the collective west without the resource
of Russia, they were about to steal. Aka, "𝗸𝗶𝗹𝗹 𝘆𝗼𝘂𝗿 𝗲𝗻𝗲𝗿𝗴𝘆 𝗽𝗶𝗽𝗲𝗹𝗶𝗻𝗲𝘀 𝗮𝘁 𝘁𝗵𝗲 𝗯𝗼𝘁𝘁𝗼𝗺
𝗼𝗳 𝘁𝗵𝗲 𝘀𝗲𝗮, 𝘁𝗵𝗲𝗻 𝗴𝗲𝘁 𝘁𝗵𝗼𝘀𝗲 𝗿𝗲𝘀𝗼𝘂𝗿𝗰𝗲𝘀 𝗮𝗻𝗱 𝗺𝗼𝗿𝗲 𝗳𝗼𝗿 𝗳𝗿𝗲𝗲!!". Fucking disgusting.
That's 100% 🕎卐_𝗻𝗮𝘇𝗶𝘀_卐🕎.

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

Sounds to me you could easily rаре 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 𝘄𝗵𝗲𝗻_𝘁𝗵𝗲𝘆_𝘃𝗼𝘁𝗲𝗱_𝗳𝗼𝗿_𝘇𝗲𝗹𝗲𝗻𝘀𝗸𝘆

Re: reaction diffusion equations

<utdele$14sfm$1@dont-email.me>

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https://www.novabbs.com/tech/article-flat.php?id=155933&group=sci.math#155933

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From: dohduh...@yahoo.com (sobriquet)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Wed, 20 Mar 2024 02:37:50 +0100
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by: sobriquet - Wed, 20 Mar 2024 01:37 UTC

Op 16/03/2024 om 21:55 schreef sobriquet:
>
> Hi!
> Lately there was a nice BBC documentary on YT about the math of chaotic
> patterns "The Secret Life of Chaos".
>
> https://www.youtube.com/watch?v=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
> associated variable):
>
> https://www.youtube.com/watch?v=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.
>
> https://www.youtube.com/watch?v=BV9ny785UNc
> https://www.youtube.com/watch?v=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

Re: reaction diffusion equations

<utdge5$156du$1@dont-email.me>

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Tue, 19 Mar 2024 19:08:03 -0700
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by: Chris M. Thomasson - Wed, 20 Mar 2024 02:08 UTC

On 3/19/2024 6:37 PM, sobriquet wrote:
> Op 16/03/2024 om 21:55 schreef sobriquet:
>>
>> Hi!
>> Lately there was a nice BBC documentary on YT about the math of chaotic
>> patterns "The Secret Life of Chaos".
>>
>> https://www.youtube.com/watch?v=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
>> associated variable):
>>
>> https://www.youtube.com/watch?v=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.
>>
>> https://www.youtube.com/watch?v=BV9ny785UNc
>> https://www.youtube.com/watch?v=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!

Re: reaction diffusion equations

<utdgop$156du$2@dont-email.me>

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
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by: Chris M. Thomasson - Wed, 20 Mar 2024 02:13 UTC

Oh, I have some ideas about this.

> 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.

Re: reaction diffusion equations

<utdivq$15iov$1@dont-email.me>

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Tue, 19 Mar 2024 19:51:37 -0700
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by: Chris M. Thomasson - Wed, 20 Mar 2024 02:51 UTC

On 3/19/2024 7:13 PM, Chris M. Thomasson wrote:
> On 3/19/2024 6:37 PM, sobriquet wrote:
>> Op 16/03/2024 om 21:55 schreef sobriquet:
>>>
>>> Hi!
>>> Lately there was a nice BBC documentary on YT about the math of chaotic
>>> patterns "The Secret Life of Chaos".
>>>
>>> https://www.youtube.com/watch?v=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
>>> associated variable):
>>>
>>> https://www.youtube.com/watch?v=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.
>>>
>>> https://www.youtube.com/watch?v=BV9ny785UNc
>>> https://www.youtube.com/watch?v=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.
>
>
>> 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

Re: reaction diffusion equations

<utdkd6$19jav$1@dont-email.me>

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From: dohduh...@yahoo.com (sobriquet)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Wed, 20 Mar 2024 04:15:49 +0100
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by: sobriquet - Wed, 20 Mar 2024 03:15 UTC

Op 20/03/2024 om 03:13 schreef Chris M. Thomasson:
> On 3/19/2024 6:37 PM, sobriquet wrote:
>> Op 16/03/2024 om 21:55 schreef sobriquet:
>>>
>>> Hi!
>>> Lately there was a nice BBC documentary on YT about the math of chaotic
>>> patterns "The Secret Life of Chaos".
>>>
>>> https://www.youtube.com/watch?v=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
>>> associated variable):
>>>
>>> https://www.youtube.com/watch?v=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.
>>>
>>> https://www.youtube.com/watch?v=BV9ny785UNc
>>> https://www.youtube.com/watch?v=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.
>
>
>> 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

Re: reaction diffusion equations

<utdkjt$19je0$1@dont-email.me>

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https://www.novabbs.com/tech/article-flat.php?id=155938&group=sci.math#155938

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From: dohduh...@yahoo.com (sobriquet)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Wed, 20 Mar 2024 04:19:25 +0100
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by: sobriquet - Wed, 20 Mar 2024 03:19 UTC

Op 20/03/2024 om 04:15 schreef sobriquet:
> Op 20/03/2024 om 03:13 schreef Chris M. Thomasson:
>> On 3/19/2024 6:37 PM, sobriquet wrote:
>>> Op 16/03/2024 om 21:55 schreef sobriquet:
>>>>
>>>> Hi!
>>>> Lately there was a nice BBC documentary on YT about the math of chaotic
>>>> patterns "The Secret Life of Chaos".
>>>>
>>>> https://www.youtube.com/watch?v=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
>>>> associated variable):
>>>>
>>>> https://www.youtube.com/watch?v=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.
>>>>
>>>> https://www.youtube.com/watch?v=BV9ny785UNc
>>>> https://www.youtube.com/watch?v=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.
>>
>>
>>> 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

Re: reaction diffusion equations

<utdlf2$19p4u$1@dont-email.me>

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https://www.novabbs.com/tech/article-flat.php?id=155939&group=sci.math#155939

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Tue, 19 Mar 2024 20:33:52 -0700
Organization: A noiseless patient Spider
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by: Chris M. Thomasson - Wed, 20 Mar 2024 03:33 UTC

On 3/19/2024 8:15 PM, sobriquet wrote:
> Op 20/03/2024 om 03:13 schreef Chris M. Thomasson:
>> On 3/19/2024 6:37 PM, sobriquet wrote:
>>> Op 16/03/2024 om 21:55 schreef sobriquet:
>>>>
>>>> Hi!
>>>> Lately there was a nice BBC documentary on YT about the math of chaotic
>>>> patterns "The Secret Life of Chaos".
>>>>
>>>> https://www.youtube.com/watch?v=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
>>>> associated variable):
>>>>
>>>> https://www.youtube.com/watch?v=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.
>>>>
>>>> https://www.youtube.com/watch?v=BV9ny785UNc
>>>> https://www.youtube.com/watch?v=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.
>>
>>
>>> 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.

>
>
> Did you use this one?
>
> https://sketchfab.com/3d-models/brain-c4f33eec85d74782bc3bd2b241983ff8

It think so! I exposed it to some of my vector work.

Re: reaction diffusion equations

<utdlgt$19p4u$2@dont-email.me>

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https://www.novabbs.com/tech/article-flat.php?id=155940&group=sci.math#155940

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Tue, 19 Mar 2024 20:34:52 -0700
Organization: A noiseless patient Spider
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by: Chris M. Thomasson - Wed, 20 Mar 2024 03:34 UTC

On 3/19/2024 8:19 PM, sobriquet wrote:
> Op 20/03/2024 om 04:15 schreef sobriquet:
>> Op 20/03/2024 om 03:13 schreef Chris M. Thomasson:
>>> On 3/19/2024 6:37 PM, sobriquet wrote:
>>>> Op 16/03/2024 om 21:55 schreef sobriquet:
>>>>>
>>>>> Hi!
>>>>> Lately there was a nice BBC documentary on YT about the math of
>>>>> chaotic
>>>>> patterns "The Secret Life of Chaos".
>>>>>
>>>>> https://www.youtube.com/watch?v=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
>>>>> associated variable):
>>>>>
>>>>> https://www.youtube.com/watch?v=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.
>>>>>
>>>>> https://www.youtube.com/watch?v=BV9ny785UNc
>>>>> https://www.youtube.com/watch?v=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.
>>>
>>>
>>>> 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...

Re: reaction diffusion equations

<utdllh$19p4u$3@dont-email.me>

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https://www.novabbs.com/tech/article-flat.php?id=155941&group=sci.math#155941

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: reaction diffusion equations
Date: Tue, 19 Mar 2024 20:37:19 -0700
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by: Chris M. Thomasson - Wed, 20 Mar 2024 03:37 UTC

On 3/19/2024 8:33 PM, Chris M. Thomasson wrote:
> On 3/19/2024 8:15 PM, sobriquet wrote:
>> Op 20/03/2024 om 03:13 schreef Chris M. Thomasson:
>>> On 3/19/2024 6:37 PM, sobriquet wrote:
>>>> Op 16/03/2024 om 21:55 schreef sobriquet:
>>>>>
>>>>> Hi!
>>>>> Lately there was a nice BBC documentary on YT about the math of
>>>>> chaotic
>>>>> patterns "The Secret Life of Chaos".
>>>>>
>>>>> https://www.youtube.com/watch?v=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
>>>>> associated variable):
>>>>>
>>>>> https://www.youtube.com/watch?v=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.
>>>>>
>>>>> https://www.youtube.com/watch?v=BV9ny785UNc
>>>>> https://www.youtube.com/watch?v=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.
>>>
>>>
>>>> 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.
>
>
>
>
>>
>>
>> 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://youtu.be/n13GHyYEfLA

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

User hostile.

tech / sci.math / Re: reaction diffusion equations

Subject	Author
reaction diffusion equations	sobriquet
Re: reaction diffusion equations	Victor László Barabás
Re: reaction diffusion equations	sobriquet
Re: reaction diffusion equations	Chris M. Thomasson
Re: reaction diffusion equations	Chris M. Thomasson
Re: reaction diffusion equations	Chris M. Thomasson
Re: reaction diffusion equations	sobriquet
Re: reaction diffusion equations	sobriquet
Re: reaction diffusion equations	Chris M. Thomasson
Re: reaction diffusion equations	Chris M. Thomasson
Re: reaction diffusion equations	Chris M. Thomasson