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Strictly speaking, the only geometric item that has neither length nor width is a "point", but as such, it is not considered a "figure". A geometric figure is defined as a "set of points". I suppose a point could be thought of as a set containing only one element, but that rather contradicts the intention of the definition where it refers to points in the plural.

As Euclid defined it: A figure is that which is contained by any boundary or boundaries.

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Q: What geometric figure has no length or width?
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