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We show that non-trivial $\times N$-invariant sets in $[0,1]^d$, such as the Sierpi��ski carpet and the Sierpi��ski sponge, are tube-null, that is, they can be covered by a union of tubular neighbourhoods of lines of arbitrarily small total v
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https://explore.openaire.eu/search/publication?articleId=doi_________::4822987fd12420a1920f266826242b3e