In other words, it's a topological transformation, which means there's a one-to-one correspondence between the points on the original figure and those on the transformed figure, and neighboring points remain neighboring...
The Shadow interrupts him,
"What the hell are you saying! I'm asking why those two look the same! Why are you rambling about points and surfaces?"
Li Qingyun sighs,
"From different times and spaces, different angles, things that appear utterly different actually have the same essential roots.
Though in the Celestial realms there are thousands of Doppelgangers, they have the same underlying Shadow, the same face; that's the essence of a Monster.
The root of 'Handkerchief' is a hyper-spacetime passage linking different times and spaces, which can roughly be seen as a Möbius Strip model.