TIL about Gabriel’s Horn: A mathematical paradox in that it has finite volume, but infinite surface area. This means you can “fill” the inside with paint, but there isn’t enough paint in the universe to cover the outside even if you painted it with a layer of paint one atom thick.

Read more: https://www.mrmath.com/misfit/calculus-stuff/gabriels-horn/

What do you think?

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  1. Eventually the horn would be narrower than an atom of the paint though, so you would need paint that could become infinitely thin, in which case you could cover infinite area with a finite volume of paint.

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