Could 2 dimensional objects fill a 3 dimensional space?

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Start date Jul 21, 2015
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Space

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Two-dimensional objects cannot fill a three-dimensional space, even if an infinite number is considered. In physics, true two-dimensional objects do not exist, and the concept of infinity is not applicable in a physical context. Mathematically, space-filling curves demonstrate how certain infinite sets can cover a volume, but this does not translate to physical reality. The discussion highlights the distinction between mathematical theory and physical existence. Ultimately, while intriguing mathematically, the idea remains impractical in the physical world.

Jul 21, 2015

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Imagine if we had an infinite number of 2d objects, could they fill a 3d volume? even if there is an infinite number of them?

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Jul 21, 2015

mfb

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There are no 2d objects in physics, and not an infinite amount of anything. In mathematics, it depends on the type of infinity you mean.

Jul 21, 2015

mathman

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Mathematically there are space filling curves - physically no.

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