Chuntai Liu
Abstract
The paper discussed the Hausdorff dimension of a generalized Sierpinski Gasket,and established the upper bound and lower bound of its Hausdorff dimension by the nature covering and the mass distribution principle,and proved that its Hausdorff dimension equals 2.
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The paper discussed the Hausdorff dimension of a generalized Sierpinski Gasket,and established the upper bound and lower bound of its Hausdorff dimension by the nature covering and the mass distribution principle,and proved that its Hausdorff dimension equals 2.
Key concepts: Hausdorff dimension, Sierpinski triangle, Packing dimension, Mathematics, Upper and lower bounds, Urysohn and completely Hausdorff spaces, Hausdorff space, Dimension (graph theory)