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【Ξｎｉｇｍａｔｉｃｏ】:misskey: (enigmatico@mk.absturztau.be)'s status on Thursday, 25-May-2023 02:06:33 JST 【Ξｎｉｇｍａｔｉｃｏ】:misskey:
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- Frost, Wolffucker 🐺:therian:
@IceWolf@masto.brightfur.net It's not just useful, it's the basis of how CGI works, because everything is calculated through vector arithmetic and linear algebra, since that is how space is described.

For instance, you can calculate scaling, positioning or even rotation of objects in space, or distort them, by taking those position vectors as a column matrix and multiplying them with a transformation matrix. This is basically how you "move" or distort objects in 3D, among many other things.

https://super8.absturztau.be/watch?v=kYB8IZa5AuE
In conversation Thursday, 25-May-2023 02:06:33 JST from mk.absturztau.be permalink
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  Linear transformations and matrices | Chapter 3, Essence of linear algebra
  
  Quite possibly the most important idea for understanding linear algebra. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com Full series: http://3b1b.co/eola Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. http://3b1b.co/support ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: https://goo.gl/WmnCQZ Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
- Polychrome :blabcat: likes this.
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  【Ξｎｉｇｍａｔｉｃｏ】:misskey: (enigmatico@mk.absturztau.be)'s status on Thursday, 25-May-2023 02:06:34 JST 【Ξｎｉｇｍａｔｉｃｏ】:misskey:
  in reply to
  - Frost, Wolffucker 🐺:therian:
  @IceWolf@masto.brightfur.net Position vectors are also vectors that go from the origin to the position point, and also have a direction and magnitude like vectors. The point is the end point of the vector and the components correspond to the coordinates of the point.
  
  https://en.wikipedia.org/wiki/Position_(geometry)
  In conversation Thursday, 25-May-2023 02:06:34 JST permalink
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    Position (geometry)
    
    In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted x, r, or s, it corresponds to the straight line segment from O to P. In other words, it is the displacement or translation that maps the origin to P: r = O P → {\displaystyle \mathbf {r} ={\overrightarrow {OP}}} ...
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  Frost, Wolffucker 🐺:therian: (icewolf@masto.brightfur.net)'s status on Thursday, 25-May-2023 02:06:34 JST Frost, Wolffucker 🐺:therian:
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  @enigmatico Neat! But how is that useful?
  Unless your origin is an actually useful point, like how in OpenGL it's the camera, rather than some arbitrary worldspace point?
  
  In conversation Thursday, 25-May-2023 02:06:34 JST permalink
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  Frost, Wolffucker 🐺:therian: (icewolf@masto.brightfur.net)'s status on Thursday, 25-May-2023 02:06:35 JST Frost, Wolffucker 🐺:therian:
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  @enigmatico but they're /points/, not vectors!
  ...unless you just mean 'vector' as in tuple why is that even a thing argh
  
  In conversation Thursday, 25-May-2023 02:06:35 JST permalink
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  【Ξｎｉｇｍａｔｉｃｏ】:misskey: (enigmatico@mk.absturztau.be)'s status on Thursday, 25-May-2023 02:06:36 JST 【Ξｎｉｇｍａｔｉｃｏ】:misskey:
  
  We call them "vertices", but they are pretty much position vectors. If you understand that, understanding CGI becomes much easier.
  
  In conversation Thursday, 25-May-2023 02:06:36 JST permalink

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