Mobius strip (ray-traced illustration)

Mobius strip experiment

Think you’ve seen it all. Just when you thought you understand the simple little concepts like up and down, forwards and backwards, and inside and outside, Reeko comes along and throws a curve ball at ya’ – in this case, a curved piece of paper that will blow your mind.

  1. Cut a 2 inch strip of paper.
  2. Holding the strip out straight, give it a half twist (180 degrees) and attach the two ends together.
  3. Take a pen and draw a line along the center of the strip.

Surprised? Where do you end up? Is the line drawn on the inside or outside of the paper? Now cut the strip along the line you drew. How many chains do you get?

Your chain is called a Mobius strip, which is a shape described by a science called topology. When you twisted your strip, the inside and outside became one continuous surface. And when you cut the strip, it became one longer chain but still had only one continuous surface. Now, try the experiment again but this time give the paper a full twist. You’ll be surprised by the results.

Embedding a Mobius strip (mind blown)

Click to get puzzle piece!

Parent/Teacher/Advanced Notes

During the early 1800’s, the works of German mathematician August Ferdinand Mobius helped develop a study in geometry that became known as topology. Topology explores the properties of a geometrical figure that do not change when the figure is bent or stretched. sides. The Mobius strip is named after August F. Mobius, the German mathematician who discovered it.

Experiment Supplies

Supplies: Tape, Paper

Sources: Wikipedia
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