Top

Download a FREE Solution for your puzzles!

Aristotle's Wheel Paradox
Click Image to Enlarge

Write Review Write your own review!

Aristotle's Wheel Paradox

$ 28.99 CAD Canadian Flag
Sold Out - Please check back later

Please notify me when this product is back in stock by emailing me @

Your Credit Card company or PayPal will automatically convert* the Canadian Dollar amount into your local currency.

Currency Converter: * Exchange rates shown above are estimates only, and may vary slightly from the rates charged by PayPal or your Credit Card Company.

Product Information

ObjectExplain how both wheels travel the same distance.
DifficultyLevel 8 - Demanding
BrandCreative Crafthouse
TypesOther Wood Puzzles, Dave Janelle
Dimensions27.5 cm x 8.5 cm x 1.2 cm / 10.8 in x 3.4 in x 0.5 in
PackagingShrinkwrap

Product Description



A fascinating math paradox.  How can 2 wheels of different diameter both turning one complete revolution travel exactly the same distance??  This puzzle is nicely demonstrated using this wood model.  The Objective is to explain the Paradox.

Not everyone agrees that Aristotle invented this little paradox, but everyone agrees that it would be just like him to come up with something like this. The paradox involves two different-sized wheels, one inside another. The two rotate in sync and you can see as you turn the wheels to travel the length of the opening in the puzzle that the etched line on the wheels turns one time, thus the circumference of each wheel has rotated over an equal length.

Both wheels use exactly one circumference to trace the same amount of distance - the length of the space in the puzzle. But, clearly one circumference is smaller than the other. Either that means that the wheels have the same circumference, which they don't, or that different circumferences "unroll" to the same length, which they can't.

That can't possibly be right.... The smaller radius can't possibly be equal to the larger one, so what's going on?

To further illustrate the paradox, there is a separate copy of the inner wheel.   We know that when attached to the bigger wheel that it turns one rotation to cover the length of the opening starting at the hash mark.  But now take the small wheel and position it at the same starting point and rotate one revolution.... it does not travel the same distance!   Such a dilemma....  Can you explain it??   Great fun for thinkers!

  • Related Puzzles

    People who purchased Aristotle's Wheel Paradox also purchased the following puzzles.
  • Napier's Bones
  • Cuttrick

Customer Reviews |

Write your own review!

This item has yet to be rated