A surface with only one side and one edge, formed by joining the ends of a rectangular strip of paper with a half-twist. Cutting along the center of a Möbius strip results in a single loop instead of two separate loops.

The Möbius strip has only one side and one edge, a topological marvel discovered by mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.

One-Sided Wonder

Created by giving a rectangular strip of paper a half-twist and joining the ends, transforming a two-sided object into a one-sided surface.

When you draw a line down the center of a Möbius strip, you'll eventually return to the starting point without lifting your pen.

Cutting a Möbius strip along its center results in a single, longer loop instead of two separate loops, defying initial intuition.

Single Loop Surprise

Cutting it one-third of the way from the edge results in two linked loops, one twice as long as the original strip.

Often used as a symbol for infinity, unity, and non-orientability in various fields, from mathematics to art.

The Möbius strip is an important object in the study of topology, a branch of mathematics focused on properties preserved through deformations.

Its unique properties inspire practical applications, like conveyor belts that wear evenly and use both sides.

The Möbius strip has influenced artists and architects, featuring in sculptures and structures worldwide.