# Dissection of 2 Regular Hexagons into One/Mistake

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## Source Work

1992: David Wells: *Curious and Interesting Puzzles*:

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

- Abul Wafa ($\text {940}$ – $\text {998}$): $41$

## 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.

$\blacksquare$

## Sources

- 1992: David Wells:
*Curious and Interesting Puzzles*... (previous) ... (next): Abul Wafa ($\text {940}$ – $\text {998}$): $41$