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 100 squares (Posted on 2006-04-30)
What is the fewest straight lines with which you can make exactly 100 squares?

For example with four vertical and five horizontal lines, evenly spaced, 20 squares are formed: twelve 1x1, six 2x2 and two 3x3.

``` _____
|_|_|_|
|_|_|_|
|_|_|_|
|_|_|_|```

 Submitted by Jer Rating: 4.0000 (3 votes) Solution: (Hide) 15 lines is the minimum: 6 one way and 9 the other. This makes a 5 by 8 array of small squares and the following totals: 1x1: 40 2x2: 28 3x3: 18 4x4: 10 5x5: 4 The grand total is 100 squares.

Comments: ( You must be logged in to post comments.)
 Subject Author Date Solution Sparsh 2006-05-11 13:14:43 re: solution and discussion ==> A general formula Ady TZIDON 2006-05-03 00:46:22 solution and discussion Charlie 2006-04-30 20:10:08 re: 100 Leming 2006-04-30 17:35:53 100 Dej Mar 2006-04-30 17:25:24 Solution: spoiler Leming 2006-04-30 17:16:37
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