The complete set of homogeneous Hilbert curves in two dimensions
Algebraic Geometry
2014-01-03 v2
Abstract
An inventory of all possible homogenous Hilbert curves in two dimensions are reported. Six new Hilbert curves are described by introducing the reversion operation in the construction algorithm. For each curve, the set of affine transformation defining the generation process is reported. Finally, each curve is also described in terms of a tag system.
Keywords
Cite
@article{arxiv.1311.2868,
title = {The complete set of homogeneous Hilbert curves in two dimensions},
author = {C. Pérez-Demydenko and I. Brito-Reyes and B. Aragón Fernández and E. Estevez-Rams},
journal= {arXiv preprint arXiv:1311.2868},
year = {2014}
}
Comments
accepted in "Applied Mathematics and Computation"