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How many dimensions is this?


A degree in mathematics might not save you from stacking boxes for a living.

In the past couple of weeks, I’ve been posting about seemingly simple mathematical problems that defy intuition, and where the answers we find on the internet turn out to be shallow or hard to parse. The definition lends itself to a simple, common-sense way to classify the dimensionality of geometric shapes: we can look at the minimum number of spatial dimensions required to contain the object in question. For now, pay no mind to errors that might be introduced if the grid is too coarse; let’s assume that the resolution is high enough to capture the shape with reasonable fidelity.

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