Figure with points (small white circles) can be smoothly deformed within the 2D plane without passing through itself so that all points touch to make the other figure vs. not so (movement out of the plane required).
Figure with points (small white circles) can be smoothly deformed within the 2D plane without passing through itself so that all points touch to make the other figure vs. not so.
Figure with points (small white circles) can be smoothly deformed within the 2D box without passing through itself so that all points touch to make the other figure vs. not so.
Curve with points (small white circles) can be deformed within the 2D box so that all points on one curve touch and gluing them together makes the other curve vs. not so.