On the Eisenstein packing of the complex plane (Q897015)
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scientific article; zbMATH DE number 6521356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Eisenstein packing of the complex plane |
scientific article; zbMATH DE number 6521356 |
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On the Eisenstein packing of the complex plane (English)
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16 December 2015
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\textit{G. Eisenstein} [J. Reine Angew. Math. 27, 289--310 (1844; ERAM 027.0801cj)] proved that any complex number \(z\) is representable as \[ z=\sum_{k=-m}^{\infty}\frac{d_k}{(-2)^k}, \] where every \(d_k\) is one of roots of equation \(d^{4}=d\). The author builds and researches certain fractal sets defined in terms of the Eisenstein representation.
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fractal tiling
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Eisenstein representation
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