Knotted membrane

A knotted membrane is a mathematical concept describing a surface, like a flexible sheet, that is shaped into a complex, intertwined loop without any loose ends, resembling a knot. Imagine a rubber sheet twisted and looped into a knot shape; this form can't be untied without cutting. In mathematics, studying these knots helps understand properties of three-dimensional spaces and the ways surfaces can be embedded within them. This concept has applications in fields like physics, biology, and computer science, where understanding how surfaces and strands can loop and intertwine is important.