Henry Ernest Dudeney/Modern Puzzles/213 - The Six Pennies/Solution
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Modern Puzzles by Henry Ernest Dudeney: $213$
- The Six Pennies
- Lay six pennies on the table, and arrange them as shown by the $6$ white circles in the diagram,
- so that a seventh penny can be dropped into the centre and touch each of the other $6$.
- It is required to get it exact, without any dependence on the eye.
- In this case it is not allowed to lift any penny off the table, nor can any measuring or marking be employed.
- However, you are allowed to slide the pennies after they have been placed on the table.
- You require only the six pennies.
Solution
First lay out the pennies as follows, noting that they have been numbered in order to identify them.
Move penny $6$ to touch $4$ and $5$:
Move penny $5$ to touch $2$ and $3$:
Finally, move penny $3$ to touch $5$ and $6$ as indicated by the dotted circle in the diagram above.
Also see
Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $213$. -- The Six Pennies
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $383$. The Six Pennies