So...you’re saying that transfigurations have to be homeomorphisms? You couldn’t transform the toroid Hermione into some sort of Klein Bottle, even if you really, really wanted to?
He’s saying that there should be less danger of snapping stuff off due to sudden topological changes when there’s holes going through both the source and target form (and damn, got there before me).
As for control, it seems to me like the orientation is even intuitively clear in this instance once you actually think about the topological similarities. What with mental images being rather important with magic, it’s likely to be doable. (And for getting rid of the mental image later, there’s Obliviate!)
So...you’re saying that transfigurations have to be homeomorphisms? You couldn’t transform the toroid Hermione into some sort of Klein Bottle, even if you really, really wanted to?
He’s saying that there should be less danger of snapping stuff off due to sudden topological changes when there’s holes going through both the source and target form (and damn, got there before me).
As for control, it seems to me like the orientation is even intuitively clear in this instance once you actually think about the topological similarities. What with mental images being rather important with magic, it’s likely to be doable. (And for getting rid of the mental image later, there’s Obliviate!)