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100 squares (Posted on 2006-04-30) Difficulty: 2 of 5
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.

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  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
SolutionSolutionSparsh2006-05-11 13:14:43
Solutionre: solution and discussion ==> A general formulaAdy TZIDON2006-05-03 00:46:22
Solutionsolution and discussionCharlie2006-04-30 20:10:08
re: 100Leming2006-04-30 17:35:53
Solution100Dej Mar2006-04-30 17:25:24
SolutionSolution: spoilerLeming2006-04-30 17:16:37
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