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Move 4 sticks to create 2 squares. The squares don't have to be equal in size.

A Collection

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It is possible to create 4 squares of equal size by moving only 2 sticks. (See Puzzle 151)

The challenge in this puzzle, however, is to move 4 sticks and to also create 4 squares of equal size. All the squares don't have to be connected.

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Add 3 sticks to divide the factory into 2 equal parts. The size of the 2 parts must be equal, but the 2 shapes don't have to be the same.

It is not so clear to see the solution with matchsticks. The figure below shows that the 2 areas are exactly the same in size.

It should now be clear that:

A1 = A2

B1 = B2

C1 = C2

D1 + D2 = D3

A1 = A2

B1 = B2

C1 = C2

D1 + D2 = D3

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Shown above are 8 matchsticks pointing UPWARDS. The challenge in this puzzle is to turn 7 sticks to point DOWNWARDS by following certain rules.

The rules are:

1. Always start with a stick pointing UPWARDS, skip the next 2 and turn the 3rd one. As an example, start with stick 4, skip 5 and 6 and turn 7 to point downwards.

2. You may only count from LEFT to RIGHT.

3. If you reach the end of the row before the end of counting, you need to continue to the beginning of the row again. As an example, if you start at 7, skip 8 and 1 and turn 2 downwards.

There are also other solutions, but the solution illustrated above is:

Step 1: Start with 1. Skip 2 and 3. Turn 4

Step 2: Start with 6. Skip 7 and 8. Turn 1

Step 3: Start with 3. Skip 4 and 5. Turn 6

Step 4: Start with 8. Skip 1 and 2. Turn 3

Step 5: Start with 5. Skip 6 and 7. Turn 8

Step 6: Start with 2. Skip 3 and 4. Turn 5

Step 7: Start with 7. Skip 8 and 1. Turn 2

Step 1: Start with 1. Skip 2 and 3. Turn 4

Step 2: Start with 6. Skip 7 and 8. Turn 1

Step 3: Start with 3. Skip 4 and 5. Turn 6

Step 4: Start with 8. Skip 1 and 2. Turn 3

Step 5: Start with 5. Skip 6 and 7. Turn 8

Step 6: Start with 2. Skip 3 and 4. Turn 5

Step 7: Start with 7. Skip 8 and 1. Turn 2

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