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

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

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

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?

Ooh that seems neat are there multiple solutions

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.

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???

Interesting question! Probably not?

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