Fence Building by a Mathematician

One day a farmer called up an engineer, a physicist, and a mathematician and asked them to fence off the largest possible area with the least amount of fence.

The engineer made the fence in a circle and proclaimed that he had the most efficient design.

The physicist made a long, straight line and proclaimed,
We can assume the length is infinite, and pointed out that fencing off half of the Earth was certainly a more efficient way to do it.

The Mathematician just laughed at them. He built a tiny fence around himself and said,
I declare myself to be on the outside.

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