Introduction: Möbius Strips
The Möbius strip, also called the ‘twisted cylinder,’ is a one-sided non-orientable surface, which means that the inside and outside are indistinguishable from each other. It is not technically a true surface, but rather a surface with boundary, due to the fact that its edges are non-distinct.
1. Möbius strips have many real-world applications, such as conveyor belts that last longer due to more distributed wear and typewriter ribbons that allow twice as much surface area to be covered in ink. You can also see these in fashion with infinity scarves.
2. The Möbius strip was first described by German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858, though images of a similar shape have been found in roman mosaics from 200 AD.
Terms to know
Topology – the branch of geometry that explore aspects
of shapes not connected to their measurements. Whereas conventional geometry focuses on length, area, volume, and angles, topology explores curvature, connections, and networks.
Möbius Strip – a surface with a single continuous surface and a single continuous edge.
Klein Bottle – a surface with a single continuous surface and no edges
Dimension – a measurable distance such as length, width, or height
Surface – an area with a length and width regardless of curving, bending, and folding
Boundary – the edge of a surface where it ends
- Marker, Pen, Pencil, Colored Pencil, or Crayon
- Scotch Tape