A Shape Evolution Model Under Affine Transformations

Gábor Domokos, Zsolt Lángi, Márk Mezei

Research output: Contribution to journalArticle


In this note we describe a discrete dynamical system acting on the similarity classes of a plane convex body within the affine class of the body. We find invariant elements in all affine classes, and describe the orbits of bodies in some special classes. We point out applications with abrasion processes of pebble shapes.

Original languageEnglish
Article number210
JournalMediterranean Journal of Mathematics
Issue number5
Publication statusPublished - Oct 1 2017



  • Discrete dynamical systems
  • affine transformations
  • affinely regular hexagons
  • plane convex bodies
  • width

ASJC Scopus subject areas

  • Mathematics(all)

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