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Christmas Pudding
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Answer 

The illustration shows how the pudding may be cut into two parts of exactly the same size and shape. 
The lines must necessarily pass through the points A, B, C, D, and E. 
But, subject to this condition, they may be varied in an infinite number of ways. 
For example, at a point midway between A and the edge, the line may be completed in an unlimited number of ways (straight or crooked), provided it be exactly reflected from E to the opposite edge. 
And similar variations may be introduced at other places.

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Math Genius