Henry Ernest Dudeney/Puzzles and Curious Problems/336 - A Six-Sided Figure/Solution

Puzzles and Curious Problems by Henry Ernest Dudeney: $336$

A Six-Sided Figure

Here are $6$ matches arranged to form a regular hexagon.

Can you take $3$ more matches and so arrange the $9$ as to show another regular $6$-sided figure?

Solution

Yes okay, we cheated.

This is in fact a perspective representation of a cube.

The six "sides" are of course its faces.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $336$. -- A Six-Sided Figure
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $503$. A Six-Sided Figure