This reminds me of a joke... an engineer, a physicist and a mathematician are asked to use as little fencing material as possible to enclose 40 sheep (which need at least, say, 10 m2 each.. an arbitrary figure, I know nothing of sheep). The engineer makes a square enclosure, 20 m x 20 m using 80m of fence.

The physicist says "I can do better than that" and makes a circular enclosure of radius 11.3 m using 70.9 metres of fence.

The mathematician looks at these goings on in amazement. When his turn comes, he builds an enclosing fence just a couple of metres in length and says "I define the sheep to be inside".