The Hausdorff measure of a Sierpiński carpet based on the hexagon (Q2749137)
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scientific article; zbMATH DE number 1663822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hausdorff measure of a Sierpiński carpet based on the hexagon |
scientific article; zbMATH DE number 1663822 |
Statements
2 October 2002
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fractals
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Sierpiński carpet
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Hausdorff measures
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The Hausdorff measure of a Sierpiński carpet based on the hexagon (English)
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In this paper the author constructs a generalized Sierpiński carpet with contraction ratio \(1/k\) (\(k>6 \) is a real number) using a regular hexagon with sides of unit length as initiator and a collection of hexagons as generator and proves its Hausdorff measure is \(2^s\), where \(s=\log_k 6.\)
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