Circle inversion of two-dimensional objects with mathematica

  • Authors:

  • R. T. Urbina;A. Iglesias

  • Affiliations:

  • Department of Mathematics, National University of Piura, Piura, Perú;Department of Computer Science, University of Tsukuba, Laboratory of Advanced Research, Tsukuba, Japan

  • Venue:
  • ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
  • Year:
  • 2005

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Abstract

One of the most interesting and less known two-dimensional transformations is the so-called circle inversion. This paper presents a new Mathematica package, CircleInversion, for computing and displaying the images of two-dimensional objects (such as curves, polygons, etc.) by the circle inversion transformation. Those objects can be described symbolically in either parametric or implicit form. The output obtained is consistent with Mathematica's notation and results. The performance of the package is discussed by means of several illustrative and interesting examples.