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tech / sci.math / Re: geometric algebra in desmos or geogebra

SubjectAuthor
* geometric algebra in desmos or geogebrasobriquet
`* Re: geometric algebra in desmos or geogebraChris M. Thomasson
 +- Re: geometric algebra in desmos or geogebraRoss Finlayson
 `- Re: geometric algebra in desmos or geogebrasobriquet

1
geometric algebra in desmos or geogebra

<087ae903-64fb-4dae-a97d-d7235183f7ddn@googlegroups.com>

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https://www.novabbs.com/tech/article-flat.php?id=147163&group=sci.math#147163

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Subject: geometric algebra in desmos or geogebra
From: dohduh...@yahoo.com (sobriquet)
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 by: sobriquet - Tue, 5 Sep 2023 01:50 UTC

Judging from videos like these:

https://www.youtube.com/watch?v=0i3ocLhbxJ4
https://www.youtube.com/watch?v=ISKJPmuZkbY

Geometric algebra has a lot of potential to provide a nice uniform
simplifying conceptual framework.

I've seen some demos on geogebra that illustrate the use of geometric
algebra, so you can interact with it to get a feeling for the way it works
(as opposed to passively watching youtube videos about the subject).

https://www.geogebra.org/m/ykzkbQJq
https://www.geogebra.org/m/yvNYFtFS

Has anyone seen similar demonstrations on desmos?
I'd be interested in particular in demonstrations that compare
and contrast traditional approaches with geometric algebra
to demonstrate in practice how it simplifies things.

Re: geometric algebra in desmos or geogebra

<ud61it$1qed6$3@dont-email.me>

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https://www.novabbs.com/tech/article-flat.php?id=147164&group=sci.math#147164

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: geometric algebra in desmos or geogebra
Date: Mon, 4 Sep 2023 18:51:26 -0700
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 by: Chris M. Thomasson - Tue, 5 Sep 2023 01:51 UTC

On 9/4/2023 6:50 PM, sobriquet wrote:
>
> Judging from videos like these:
>
> https://www.youtube.com/watch?v=0i3ocLhbxJ4
> https://www.youtube.com/watch?v=ISKJPmuZkbY
>
> Geometric algebra has a lot of potential to provide a nice uniform
> simplifying conceptual framework.
>
> I've seen some demos on geogebra that illustrate the use of geometric
> algebra, so you can interact with it to get a feeling for the way it works
> (as opposed to passively watching youtube videos about the subject).
>
> https://www.geogebra.org/m/ykzkbQJq
> https://www.geogebra.org/m/yvNYFtFS
>
> Has anyone seen similar demonstrations on desmos?
> I'd be interested in particular in demonstrations that compare
> and contrast traditional approaches with geometric algebra
> to demonstrate in practice how it simplifies things.

Nice heads up!

Re: geometric algebra in desmos or geogebra

<2507cbce-e59a-4537-8a80-a668f19e8a98n@googlegroups.com>

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https://www.novabbs.com/tech/article-flat.php?id=147168&group=sci.math#147168

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Subject: Re: geometric algebra in desmos or geogebra
From: ross.a.f...@gmail.com (Ross Finlayson)
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 by: Ross Finlayson - Tue, 5 Sep 2023 03:24 UTC

On Monday, September 4, 2023 at 6:51:36 PM UTC-7, Chris M. Thomasson wrote:
> On 9/4/2023 6:50 PM, sobriquet wrote:
> >
> > Judging from videos like these:
> >
> > https://www.youtube.com/watch?v=0i3ocLhbxJ4
> > https://www.youtube.com/watch?v=ISKJPmuZkbY
> >
> > Geometric algebra has a lot of potential to provide a nice uniform
> > simplifying conceptual framework.
> >
> > I've seen some demos on geogebra that illustrate the use of geometric
> > algebra, so you can interact with it to get a feeling for the way it works
> > (as opposed to passively watching youtube videos about the subject).
> >
> > https://www.geogebra.org/m/ykzkbQJq
> > https://www.geogebra.org/m/yvNYFtFS
> >
> > Has anyone seen similar demonstrations on desmos?
> > I'd be interested in particular in demonstrations that compare
> > and contrast traditional approaches with geometric algebra
> > to demonstrate in practice how it simplifies things.
> Nice heads up!

It's pretty beautiful, knowledge is appreciated for its own sake and that of others.

Re: geometric algebra in desmos or geogebra

<ce183fce-c846-4555-a4cb-333444baaf81n@googlegroups.com>

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Subject: Re: geometric algebra in desmos or geogebra
From: dohduh...@yahoo.com (sobriquet)
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 by: sobriquet - Wed, 6 Sep 2023 00:38 UTC

On Tuesday, September 5, 2023 at 3:51:36 AM UTC+2, Chris M. Thomasson wrote:
> On 9/4/2023 6:50 PM, sobriquet wrote:
> >
> > Judging from videos like these:
> >
> > https://www.youtube.com/watch?v=0i3ocLhbxJ4
> > https://www.youtube.com/watch?v=ISKJPmuZkbY
> >
> > Geometric algebra has a lot of potential to provide a nice uniform
> > simplifying conceptual framework.
> >
> > I've seen some demos on geogebra that illustrate the use of geometric
> > algebra, so you can interact with it to get a feeling for the way it works
> > (as opposed to passively watching youtube videos about the subject).
> >
> > https://www.geogebra.org/m/ykzkbQJq
> > https://www.geogebra.org/m/yvNYFtFS
> >
> > Has anyone seen similar demonstrations on desmos?
> > I'd be interested in particular in demonstrations that compare
> > and contrast traditional approaches with geometric algebra
> > to demonstrate in practice how it simplifies things.
> Nice heads up!

Reddit yielded a bit more feedback on the potential utility of GA.

https://www.reddit.com/r/math/comments/16aazw0/geometric_algebra_in_desmos_or_geogebra/

In any case it's always fun to create an interactive demo to play with the math illustrated
in a youtube video.

https://www.desmos.com/calculator/zsnsnvlvbu

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