Henry Ernest Dudeney/Puzzles and Curious Problems/213 - A Swastikaland Map/Solution
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Puzzles and Curious Problems by Henry Ernest Dudeney: $213$
- A Swastikaland Map
- Swastikaland is divided in the manner shown in our illustration.
- The Lord High Keeper of the Maps was ordered so to colour this map of the country
- that there should be a different colour on each side of every boundary line.
- What was the smallest number of colours that he required?
Solution
It would have been $2$, but for the glitch at the bottom left hand corner, where there happen to be three adjoining regions.
Thus $3$ colours are needed.
Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Solutions: $213$. -- A Swastikaland Map
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $443$. A Swastikaland Map