We introduce the multi - layer constructions for Cookie - Cutter sets. For each such construction, we calculate the Hausdorff measures and Packing measures and the Hausdorff dimensions and Packing dimensions are obtained.

• 给出Cookie-Cutter集合的一种新的多重分解,并计算其Hausdorff测度和Packing测度,得到了它们的Hausdorff维数和Packing维数。