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Etta from Rosendale Primary School wrote to tell us that you must click once for the first picture, twice for the second picture (the one on the right-hand side), three times for the third man and four times for the last picture at the bottom.

Alice from Perse Girls' Senior School went on to explain:

... you can continue turning it so if the first position took $1$ turn then you turn him another $4$ turns so he's in the same position.Rafi from Ohlone Elementary School in U.S. said:

When his head is turning right, you turn it once, and then start counting by fours. If it's pointing upwards, just count by fours. If it's pointing downwards, count two, then count by fours. If it's pointing left, count three, and then count by fours. It is easy because, every time, you count how many get to that direction, and then start counting by fours.

Eleanor sent the following:

I found out that the pattern is adding 4.

1,5,9,13,17,21,25,29,33,37,41,45,49...

3,7,11,15,19,23,27,31,35,39,43...

2,6,10,14,18,22,26,30,34,38...

4,8,12,16,20,24,28,32,36,40...

This is because he was turning a quarter each time and there are 4 quarters in a whole. There is infinity answers.

Thank you for your well explained responses.