| Abstract: |
| We discuss the intersections of the $d$-dimensional Sierpi${\rm \acute{n}}$ski gasket with $(d - 1)$-dimensional hyperplanes in a particular fixed direction. We give the values of the Hausdorff dimension, the lower box dimension, the upper box dimension and the packing dimension of each slice and determine the criterion for which the Hausdorff dimension of the slice takes Marstrand`s value. |
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