The topology of shapes made with points

@article{Haridis2019TheTO,
  title={The topology of shapes made with points},
  author={Alexandros Haridis},
  journal={Environment and Planning B: Urban Analytics and City Science},
  year={2019},
  volume={47},
  pages={1279 - 1288}
}
  • Alexandros Haridis
  • Published 12 August 2020
  • Art
  • Environment and Planning B: Urban Analytics and City Science
In architecture, city planning, visual arts, and other design areas, shapes are often made with points, or with structural representations based on point-sets. Shapes made with points can be understood more generally as finite arrangements formed with elements (i.e. points) of the algebra of shapes Ui, for i = 0. This paper examines the kind of topology that is applicable to such shapes. From a mathematical standpoint, any “shape made with points” is equivalent to a finite space, so that… 
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