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Mots clés
volume
densité
convergence
Lecture conseillée
à partir de la terminale
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The volume of the full tree turns out to be expressed by a geometric series, which is convergent for suitable values of the ratio of similarity between two consecutive branches.
Another result presented in the work regards the density ρ of a tree. It is shown that ρ can be expressed in terms of the density of the dry tree, of the density of water, and of the percentage of water in the wet tree.
An Android application for calculating the volume is presented in the final section.