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'Weekly Problem 34 - 2013' printed from http://nrich.maths.org/

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A square card printed with the letter N is held horizontally, as shown in the diagram, where the arrow indicates the direction of North.

The card is turned over by rotating it through $180^{\circ}$ about an axis running from East to West, and then turned over by rotating it through $180^{\circ}$ about an axis runnning from North-East to South West.

How does the diagram now look to a person facing North?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  


This problem is taken from the UKMT Mathematical Challenges.

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