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Celene goes to Apriltopia
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Look, we're from an entirely different planet! Maybe our linear transformations mean a different thing from your linear transformations. 

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That is not how the metafictional rendering of Eifweni into English works!

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Yeah ok she can't actually defend why you would mean a different thing by Linear Transformation than she does and use the word Affine Transformation for what she means by Linear Transformation

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Speaking of hexagons: how does Celene like a little magnetic hexagonally-tiled tray in the shape of a hexagram, with the ten different tiles made of three or four hexagons for you to try to slot into it?

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Ooh that seems neat are there multiple solutions

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Well obviously D₆ should act on the solution set, so you should expect at least twelve... but even considering those all equivalent, there's... at least several.

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Ooh, and does it have the option to let you randomly lock any one tile in in any given position and guarantee there will always be a solution building around that???

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Interesting question! Probably not?

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Actually looking at the puzzle again I changed my mind, it's a very boring question.

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She means like this. (But with a hexagon grid and hexagonal polyominoes, obviously. Polyhexes?)

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Polyheces.

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Probably not but that might take some figuring to disprove?

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No, no, that question is also pretty boring. See, you can put this polyhex against any of these other polyheces in a way that makes a little hole.

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...to be fair, you can also do something like that in the square case. In the video you just imagined, the guy literally moves one of the polyominoes after getting an impossible case. You're gonna have to specify the rules a little more clearly.

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Nevermind she doesn't care to try to prove this

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Summer found a little gyroscope ball thingy that says it can connect to a computer and be used as an input device for rolling ball video games! 

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Ooh! Like Super Monkey Ball? How does it work?

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Summer doesn't know what a Super Monkey Ball is? She presumes it works based on angular momentum but hasn't stared at it closely enough to have a very specific model beyond starting to form the beginnings of an intuitive feel for how it responds when she rotates it in various ways.

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To be honest she doesn't know what it is either.

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Oh come on you can't just tell her about an extradimensional video game and then not elaborate. That's messed up.

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Well she hasn't played it!

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evil

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She... Knows of other video games from her dimension? She could probably port some over from memory (obviously not perfectly, but). Copyright laws don't extend to alternate dimensions!

It's just like she always says, "Quotation is a serviceable substitute for wit."

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That sounds really neat! Sometimes Summer opens up a level editor and tries to recreate something from memory. It's usually a disaster, she isn't very good at it (and isn't trying as hard as she possibly could if it really mattered.) But y'know, you can fill in the gaps with some artistic license.

Relevant laws may not exist but they should probably pay back the original creators if they ever find a way to!

(Is this the kind of prank where Celene eventually reveals a method of communication with Earth? That seems like one of the things you might do...)

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Well if there is a way to travel back to Earth they'll probably have bigger fish to fry but sure.

(As in, they'll likely have more pressing problems; she doesn't mean to denigrate Tinya's fish size)

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