A bamboozlement is a dissection of a plane shape and subsequent rearrangement of the pieces that appears to result in a change of the total area. Use the activity below to explore some bamboozlements of a square and learn about the amazing connection to the Fibonacci numbers.

Fibonacci Bamboozlement
Let's do something impossible!

Drag the coloured pieces from the square to the rectangle and see what happens to the total area…

What is going on?

(Press and hold the background to bring up the magnifying glass.)