Henry Ernest Dudeney/Puzzles and Curious Problems/248 - Four in Line/Solution

by : $248$

 * Four in Line

Solution
There are $9$ fundamentally different solutions:


 * Dudeney-Puzzles-and-Curious-Problems-248-solution-1.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-248-solution-2.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-248-solution-3.png


 * Dudeney-Puzzles-and-Curious-Problems-248-solution-4.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-248-solution-5.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-248-solution-6.png


 * Dudeney-Puzzles-and-Curious-Problems-248-solution-7.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-248-solution-8.png $\quad$ Dudeney-Puzzles-and-Curious-Problems-248-solution-9.png

Of the above, the $4$th, $5$th and $9$th give $8$ solutions when rotations and reflections are considered.

The remaining ones give rise to $4$ each.

Hence there are $48$ different solutions in total.

Also see
's Five Dogs Puzzle, no. $311$ in his.