Friday, 9 January 2015

Planting Trees



         If you wished to plant some trees so that each was equidistant from every other tree, what is the largest number you could plant?

Answer: 

 Four. Most people think the answer is three, because it is easy to create an equilateral triangle with a tree planted on each corner. But if the land had just the right contours, a fourth tree might be planted in a valley or on a hill, forming a pyramid shape above or below the centre of the triangle in a sport that would maintain the equidistance.

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