@phdthesis{Duy2011,
  author    = {Mai The Duy},
  title     = {Some self-similar constructions in two and three dimensions and their neighbor geometry},
  journal    = {Einige selbst{\"a}hnliche Konstruktionen in zwei und drei Dimensionen und ihre Nachbarschaftsgeometrie},
  url       = {https://nbn-resolving.org/urn:nbn:de:gbv:9-000993-6},
  year      = {2011},
  abstract  = {Self-similar sets are a class of fractals which can be rigorously defined and treated by mathematical methods. Their theory has been developed in n-dimensional space, but we have just a few good examples of self-similar sets in three-dimensional space. This thesis has two different aims. First, to extend fractal constructions from two-dimensional space to three-dimensional space. Second, to study some of the properties of these fractals such as finite type, disk-likeness, ball-likeness, and the Hausdorff dimension of boundaries. We will use the neighbor graph tool for creating new fractals, and studying their properties.},
  language  = {en}
}