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.

Shapes Without Sides

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

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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.

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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

Written by Curiosity Staff February 25, 2016