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
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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