Shapes of Constant Width

by Layzej
  scripts
  sprites
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Instructions

Use LEFT and RIGHT arrows to change the number of vertices and see various shapes of constant width that behave just as well as a circle would in this situation.

Notes and Credits

Wheels are circular because as you rotate them their width stays the same and so you have a smooth ride.

But a circle is not the only shape with that property. In fact, any shape with an odd number of vertices can have a constant width. Although they have corners and edges they make perfectly good wheels. See this video for example: https://youtu.be/270qEZKXAfQ?t=152

It's easy to make a shape of constant width with a compass. You put the point of the compass at one of the vertices and you round off the opposite face.

Shared: 24 Nov 2016 Modified: 1 Dec 2016
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