Approximating Logarithmic Spirals by Quarter Circles

Ulrich Reitebuch, Martin Skrodzki, Konrad Polthier
    
Proceedings of Bridges 2021: Mathematics, Music, Art, Architecture, Education, Culture., page 95--102 - 2021
Download the publication : 2021_RSP_LogSpirals.pdf [6.6Mo]  
The approximation of a golden logarithmic spiral by quarter circles is well known. Starting from this, we show that any logarithmic spiral can be approximated by quarter circles in a similar way. Using our construction on a rectangle with aspect ratio √𝜙 and performing a coordinate reparametrization, we obtain an aesthetic partition of the plane as our main artwork.

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BibTex references

@InProceedings { RSP21,
  author       = "Reitebuch, Ulrich and Skrodzki, Martin and Polthier, Konrad",
  title        = "Approximating Logarithmic Spirals by Quarter Circles",
  booktitle    = "Proceedings of Bridges 2021: Mathematics, Music, Art, Architecture, Education, Culture.",
  pages        = "95--102",
  year         = "2021",
  editor       = "Swart, David and Farris, Frank and Torrence, Eve",
  publisher    = "Tesselation Publishing",
  organization = "Bridges",
  url          = "http://graphics.tudelft.nl/Publications-new/2021/RSP21"
}

Other publications in the database

» Ulrich Reitebuch
» Martin Skrodzki
» Konrad Polthier





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