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# matchstick puzzle

## Question

If you have a total number of 24 matchsticks in squares and you have to remove 6 of them and make 3 squares with the rest of them, how would you do this and can you give me a visual solution please...

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```Start with this (horizontal doublets represent one matchstick)
–– –– ––
|  |  |  |
–– –– ––
|  |  |  |
–– –– ––
|  |  |  |
–– –– ––
and end with this
–– –– ––
|  |  |  |
––
|     |  |
–– ––
|        |
–– –– ––```
` `
Edited by plasmid

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24-6 = 18
If you have unlimited number of moves, you can make three squares using 18 matches:

_ _
|   |
|_ _|
- 1 square, using 8 matches
_ _
|_  |
|_|_|
- 2 squares, using 10 matches

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Any other solutions?

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On ‎12‎/‎1‎/‎2015 at 8:13 AM, bonanova said:

Any other solutions?

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Let the remaining matchsticks be located at these coordinates on the xy-axes:

(0, 0) to (0, 1)

(0, 1) to (0, 2)

(0, 2) to (0, 3)

(2, 0) to (2, 1)

(2, 1) to (2, 2)

(2, 2) to (2, 3)

(3, 1) to (3, 2)

(3, 2) to (3, 3)

(0, 0) to (1, 0)

(1, 0) to (2, 0)

(0, 1) to (1, 1)

(1, 1) to (2, 1)

(2, 1) to (3, 1)

(0, 2) to (1, 2)

(1, 2) to (2, 2)

(2, 2) to (3, 2)

(0, 3) to (1, 3)

(1, 3) to (2, 3)

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Spoiler

You can also have one big square with two smaller squares:

Each tick mark separates each matchstick

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