Abstract
In earlier work we proposed a fractal pied de poule inspired by Cantor's dust, building on a mathematical analyis of the classical pied de poule pattern. Now we propose another fractal pied de poule implemented as a single line. Instead of blocks which get fragmented into smaller and smaller blocks, we begin with a single continuous line which is expanded by adding more and more nested zigzags. Although the former approach takes a two-dimensional starting point and the latter a one-dimensional starting point, the resulting fractal dimensions are comparable (also depending on the type of the original pied de poule being fractalised). We calculate the fractal dimension and develop a fashion item based on the new pattern, to be shown at Bridges.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015 |
| Editors | K. Delp, C.S. Kaplan, D. McKenna, R. Sarhangi |
| Place of Publication | Phoenix |
| Publisher | Tessellations Publishing |
| Pages | 223-230 |
| Number of pages | 8 |
| ISBN (Print) | 978-1-938664-15-1 |
| Publication status | Published - 2015 |
| Event | Bridges 2015, July 29-August 1 2015, Baltimore, MD, USA - University of Baltimore, Baltimore, MD, United States Duration: 29 Jul 2015 → 1 Aug 2015 http://bridgesmathart.org/bridges-2015/ |
Publication series
| Name | Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture |
|---|---|
| Volume | 2015 |
| ISSN (Print) | 1099-6702 |
Conference
| Conference | Bridges 2015, July 29-August 1 2015, Baltimore, MD, USA |
|---|---|
| Country/Territory | United States |
| City | Baltimore, MD |
| Period | 29/07/15 → 1/08/15 |
| Other | "Mathematics, Music, Art, Architecture, Culture" |
| Internet address |
Bibliographical note
@inproceedings{bridges2015:223,author = {Loe M.G. Feijs and Marina Toeters},
title = {A Novel Line Fractal Pied de Poule (Houndstooth)
},
pages = {223--230},
booktitle = {Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture},
year = {2015},
editor = {Kelly Delp, Craig S. Kaplan, Douglas McKenna and Reza Sarhangi},
isbn = {978-1-938664-15-1},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
note = {Available online at \url{http://archive.bridgesmathart.org/2015/bridges2015-223.html}}
}