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Revista2017

Hilbert curves in two dimensions

Ernesto Estevez-Rams, Daniel Estevez-Moya, Yosdan Martinez-Camejo, Danilo Gomez-Gomez, Beatriz Aragon-Fernandez

Revista Cubana de Física, 34, 9

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Resumen

The complete set of Hilbert curves in two dimensions is presented, comprising up to forty curves: 12 homogeneous and 28 inhomogeneous. The analytical expressions for all the homogeneous curves are derived, which are easily extendable to all forty curves. A tag system, that allows the construction of all curves, is also described.

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@article{estevezrams2017hilbert,
  title = {{Hilbert curves in two dimensions}},
  author = {Ernesto Estevez-Rams and Daniel Estevez-Moya and Yosdan Martinez-Camejo and Danilo Gomez-Gomez and Beatriz Aragon-Fernandez},
  year = {2017},
  journal = {Revista Cubana de Física},
  volume = {34},
  pages = {9}
}

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