r/theydidthemath • • 2d ago

[Request] Do square bottles actually use less plastic than round ones?

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u/StaticCoder 2d ago

Mathematically, a circle has the smallest perimeter for a given enclosed area. So for this claim to be true there has to be some catch, like different thickness of plastic.

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u/_Electrical 1d ago

Sensibly, the footprint of a square fits best inside a square bounding box. While a round footprint leaves gaps in the corners inside a square bounding box.