Geodesic
О хаусдорфовой мере однородного треугольного $(c,\theta)$-ковра Серпинского
Problemy analiza, no. 18 (2011), pp. 61-69 
N. Yu. Svetova. О хаусдорфовой мере однородного треугольного $(c,\theta)$-ковра Серпинского. Problemy analiza, no. 18 (2011), pp. 61-69. http://geodesic.mathdoc.fr/item/PA_2011_18_a3/
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     title = {{\CYRO} {\cyrh}{\cyra}{\cyru}{\cyrs}{\cyrd}{\cyro}{\cyrr}{\cyrf}{\cyro}{\cyrv}{\cyro}{\cyrishrt} {\cyrm}{\cyre}{\cyrr}{\cyre} {\cyro}{\cyrd}{\cyrn}{\cyro}{\cyrr}{\cyro}{\cyrd}{\cyrn}{\cyro}{\cyrg}{\cyro} {\cyrt}{\cyrr}{\cyre}{\cyru}{\cyrg}{\cyro}{\cyrl}{\cyrsftsn}{\cyrn}{\cyro}{\cyrg}{\cyro} $(c,\theta)$-{\cyrk}{\cyro}{\cyrv}{\cyrr}{\cyra} {{\CYRS}{\cyre}{\cyrr}{\cyrp}{\cyri}{\cyrn}{\cyrs}{\cyrk}{\cyro}{\cyrg}{\cyro}}},
     journal = {Problemy analiza},
     pages = {61--69},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PA_2011_18_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The generalized homogeneous Sierpinski $(c,\theta)$-gasket is considered. It has received that the $s$-dimensional Hausdorff measure of $(c, \theta)$-gasket for $c\in (0; 1/3]$ is equal $H^{s}(D_{c,\theta})=(2\sin\frac{\theta}{2})^{s}$, for $\theta\in [\frac{\pi}{3}, \pi)$ and $(\frac{2\sin \theta}{\sqrt{5-4\cos \theta}})^{s}\le H^{s}(D_{c-\theta}) \le 1$ for $\theta\in (0,\frac{\pi}{3})$. As a consequence the $s$-dimensional Hausdorff measure for a generalized homogeneous Pascal triangle is received, it is equal $2^{s/2}$.

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