Sirpinski gasket is the classic fractals with strick self-similar property. In this paper, we will give the construction of a class of Generalized Sirpinski Gasket and the exact value of its Hausdorff measure.%Sirpinski垫片具有严格的的自相似性，本文给出了一种广义Sirpinski垫片的构造，并得到了它的Hausdorff测度准确值。
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