Henry Ernest Dudeney/Modern Puzzles/128 - Lines and Squares

by : $128$

 * Lines and Squares
 * Here is a simple question.


 * With how few straight lines can you make exactly one hundred squares?
 * Thus, in the first diagram it will be found that with nine straight lines I have made twenty squares
 * (twelve with sides of the length $AB$, six with sides $AC$, and two with sides of the length $AD$).


 * Dudeney-Modern-Puzzles-128.png


 * In the second diagram, although I use one more line, I only get seventeen squares.


 * So, you see, everything depends on how the lines are drawn.


 * Remember there must be exactly one hundred squares -- neither more nor fewer.