The dilation factor of the Peano-Hilbert curve (Q2460468)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The dilation factor of the Peano-Hilbert curve |
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The dilation factor of the Peano-Hilbert curve (English)
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12 November 2007
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The author determines the maximum value of the square-to-linear ratio \[ \frac{|p(x)-p(y)|}{|x-y|} \] for the Peano-Hilbert curve \(p:I \mapsto I^2\), which maps the unit interval \(I =[0,1]\) to the unit square.
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Peano-Hilbert curve
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