【摘要】 本文研究了一类由平面上点的表示系统所生成的内部非空的自相似集，证明其边界曲线的一半是三个Ａ－完备集的并集 并给出计算这类完备集的结构矩阵的简单方法，从而利用Ｍａｒｉｏｎ定理得出这类自相似集边界的Ｈａｕｓｄｏｒｆｆ维数更多还原

【Abstract】 In this paper, a large class of self-similar sets with interior nonempty constructed in the representing system of 1R2 is studied, we proved that the half boundary of such self- similar sets is union of three A-perfect sets and obtained a simple method to calculate its construction matrix A, therefor the Hausdorff dimensions of the boundary for the self-similar sets are obtained by using the Marion theorem.更多还原