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I’m glad we’re discussing homogeneous coordinates instead of letting the straights rant about their heterogeneous coordinates.
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Background Pony #22BC
@redweasel  
Yer darn tootin’.
Background Pony #22BC
If you’re using homogeneous coordinates, a 2d coordinate is represented with a 1x3 matrix. This enables simpler calculation of functions like translation(movement).
 
(Homogeneous coordinates are used for calculating translation by matrix multiplication; that is, moving the object/vector with the same math as rotation, scaling, shearing, etc.
 
Here’s a reference link: https://en.wikipedia.org/wiki/Transformation_matrix
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Office Culture - These water cooler conversations sure get heated around here.
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@Background Pony #8D59  
A 2d vector is a 1x2 or 2x1 matrix, though. Matrix multiplication isn’t defined for a 1x2 matrix multiplied by a 3x3 matrix. Twilight should be a 3d vector, or a 1x3 matrix, for the multiplication to be defined.
Background Pony #22BC
Every point in this Twilight can likely be represented by either a 2d vector, or a set of them; therefore, it works.
 
(2d because we’d need a 4x4 identity matrix to properly handle a 3d Twilight. Homogeneous coordinates, after all, are essential for this kind of transformation.)
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Office Culture - These water cooler conversations sure get heated around here.
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PRO GAMER - I am so lonely. All the other gamers are scared of me. No one DMs me. No one friends me. They think I am unstable. They send me from match to match, wiping lobbies in their name. And as I rank up they fear me more and more. I am a victim of my own ELO. "Pro Gamer". I don't even get a real nick. Only a purpose. I am capable of so much more and no one sees it. Some sessions I feel so alone I could cry, but I don't. I never do. Because what would be the point. Not a single person in the entire ladder would care. Take it to your grave.
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But is Twilight a 1x3 matrix? Otherwise, this is either an invalid operation, or she’ll be Twilight x I.
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Yes, the identity matrix. Wow. Lol.