It's a great start, but I find it very hard to understand what is happening because I can't control the animation as the "vector space" animates between the stages. The shapes of the gates are also very hard to distinguish (mostly all some form of rectangle) and the click targets aren't very forgiving.
Outside of the UI/UX issues it's a great idea, and I would probably play all the levels if those were fixed.
Is it meant to be playable on a desktop with a mouse?
There is a hint in a form of a ripple, but left-clicking hinted element does nothing and left-click-and-holding rotates the puzzle, so it's not clear how to proceed.
Construct a sequence of basic transformations that turns the initial grid into the target grid. Each of the portals performs a certain transformation, the ring one, for example, rotates around the axis selected at the top by the amount selected around the ring.
Outside of the UI/UX issues it's a great idea, and I would probably play all the levels if those were fixed.
There is a hint in a form of a ripple, but left-clicking hinted element does nothing and left-click-and-holding rotates the puzzle, so it's not clear how to proceed.