Geodesic
On convex hulls of self-similar sets
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 2, pp. 21-27 
I. B. Davydkin; A. V. Tetenov. On convex hulls of self-similar sets. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 5 (2005) no. 2, pp. 21-27. http://geodesic.mathdoc.fr/item/VNGU_2005_5_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $S=\{s_1,\dots,s_m\}$ be a system of contraction similitudes in Banach space and $K(S)$ it's invariant set. We obtain the conditions for the convex hull $H(K)$ of the invariant set to be a finite-sided polyhedron and give an exact estimate for the diameter of $K(S)$ in terms of contraction coefficients of $s_i$.

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