Illustrating Number Sequences
Inhaltsverzeichnis
Reference
L. Kerry Mitchell: Illustrating Number Sequences. In: Bridges 2005. Pages 263–268
DOI
Abstract
While critically important mathematically, number sequences can also be foundational artistically. This work presents several techniques for illustrating number sequences using geometric shapes and image processing technology. The resulting images can reveal characteristics of the sequences that are of interest to both the mathematician and the visual artist.
Extended Abstract
Bibtex
Used References
[1] N. Sloane, www.research.att.com, 2003.
[2] F. Slijkerman, www.ultrafractal.com, 2002.
[3] L.K. Mitchell, “Techniques for Artistically Rendering Space-Filling Curves,” Journal of Advancing Technology, 1, 23-27, 2004.
[4] E.W. Weisstein, “Signature Sequence,” mathworld.wolfram.com/SignatureSequence.html, 1999.
[5] E.W. Weisstein. "Fractal Sequence," mathworld.wolfram.com/FractalSequence.html, 1999.
[6] C. Kimberling, “Fractal Sequences and Interspersions.” Ars Combin. 45, 157-168, 1997.
[7] L. K. Mitchell, “Signature of Phi,” www.fractalus.com/kerry/gallery13/sigphi.html, 2003.
[8] E.W. Weisstein. "Billiards," mathworld.wolfram.com/FractalSequence.html, 1999.
[9] E.W. Weisstein. "Roulette," mathworld.wolfram.com/FractalSequence.html, 1999.
Links
Full Text
http://archive.bridgesmathart.org/2005/bridges2005-263.pdf
