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It was conjectured by Bollob\\'as, Leader and Malvenuto (and independently Bukh) that the Tur\\'an densities of $t$-daisies satisfy $\\lim\\limits_{r \\to \\infty} \\pi(\\mathcal{D}_r^t) = 0$ for all $t \\geq 2$; this has become a well-known problem, and it is still open for all values of $t$. 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