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Impossible Shapes

A Möbius strip is a two-dimensional surface with only one side. With the strip, you can start at one point and make a path that passes through a point on the opposite side of the surface while staying on the same plane. The German mathematician August Möbius, born November 17, 1790, discovered the Möbius strip in 1858.

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Shapes Without Sides

What would a Möbius strip look like in the fourth dimension?

Building A Möbius Bridge

Learn how a bridge could be built as a Möbius strip.

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Key Facts In This Video

  1. If a person was walking on a mobius strip, they could walk continuously forever. 00:04

  2. There are many architectural possibilities with mobius bands. 03:53

Learn to Draw Impossible Shapes

Draw a Penrose Triangle and other shapes that can't exist in reality.

Are Raindrops an Impossible Shape?

The math behind a raindrop doesn't quite add up.

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Key Facts In This Video

  1. Falling raindrops are more often shaped like jellyfish than teardrops. 00:05

  2. Surfaces require more free energy to make than volumes. 00:41

  3. If a water droplet is below a certain size, then making it bigger requires more surface energy than is released from volume energy. 01:24

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