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Fractals and Billiard Orbits on Sierpinski Carpets
Linköping University, Department of Mathematics.
2017 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

This Bachelor's thesis deals with fractals and orbits on Sierpinski carpets. We present the fundamental theory regarding fractals and some illustrative examples together with fractal billiards. In the latter part of the thesis we use elementary methods to present an original proof concerning the closure of some billiard orbits on Sierpinski carpets. A survey of the article Periodic Billiard orbits of self-similar Sierpinski Carpets, see [8], has been done, in which we make a discussion about one open question regarding reflections on the carpet. Furthermore, we state and prove some propositions related to this open question.

Place, publisher, year, edition, pages
2017. , p. 107
Keywords [en]
Fractals, Geometry, Billiards, Orbits, Surfaces, Translation surfaces, Homeomorphisms.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-138736ISRN: LiTH-MAT-EX--2017/05--SEOAI: oai:DiVA.org:liu-138736DiVA, id: diva2:1113860
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2017-06-22 Created: 2017-06-22 Last updated: 2017-06-22Bibliographically approved

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Fractals and Billiard Orbits on Sierpinski Carpets(1743 kB)326 downloads
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf