# Dissection of 2 Regular Hexagons into One/Mistake

## Source Work

The Puzzles:
Abul Wafa ($\text {940}$ – $\text {998}$): $41$
Solution

## Mistake

How can two regular hexagons, of different sizes, be dissected into seven pieces which fit together to make one, larger, regular hexagon?

## Correction

The number of pieces needed in the construction given is in fact $13$.

The smaller regular hexagon is $1$ piece.

The larger regular hexagon is cut into $6$ triangles.

Each of these triangles is then each cut into $2$ pieces which are then assembled around the outside of the smaller regular hexagon

Thus a total of $13$ pieces.

$\blacksquare$