A novel line fractal pied de poule (houndstooth)

L.M.G. Feijs; M.J. Toeters

A novel line fractal pied de poule (houndstooth)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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	http://bridgesmathart.org/bridges-2015/

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}}
}

Access to Document

publisher version

2 Design
1 Article

Designing fractal line pied-de-poules: a case study in algorithmic design mediating between culture and fractal mathematics
Feijs, L. M. G., Jan 2020, In: Journal of Humanistic Mathematics. 10, 1, p. 240-266 27 p.
Research output: Contribution to journal › Article › Academic › peer-review

Open Access
File
103 Downloads (Pure)
Fractal Pied de Poule (houndstooth) Collection SS'15: Parka and Jacket
Toeters, M. & Feijs, L. M. G., 2015
Research output: Non-textual form › Design › Professional

Open Access
Drapely-o-lightment and fPDP: contributions to mathematical art exhibition in Enschede
Feijs, L. M. G., Toeters, M. & Smeulders, B., 2013
Research output: Non-textual form › Design › Professional

Open Access
File

Cite this

Feijs, L. M. G., & Toeters, M. J. (2015). A novel line fractal pied de poule (houndstooth). In K. Delp, C. S. Kaplan, D. McKenna, & R. Sarhangi (Eds.), Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015 (pp. 223-230). (Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture; Vol. 2015). Tessellations Publishing.

Feijs, L.M.G. ; Toeters, M.J. / A novel line fractal pied de poule (houndstooth). Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015. editor / K. Delp ; C.S. Kaplan ; D. McKenna ; R. Sarhangi. Phoenix : Tessellations Publishing, 2015. pp. 223-230 (Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture).

@inproceedings{93bb4f8210a448599b35433c586f8005,

title = "A novel line fractal pied de poule (houndstooth)",

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. ",

author = "L.M.G. Feijs and M.J. Toeters",

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}} }; Bridges 2015, July 29-August 1 2015, Baltimore, MD, USA ; Conference date: 29-07-2015 Through 01-08-2015",

year = "2015",

language = "English",

isbn = "978-1-938664-15-1",

series = "Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture",

publisher = "Tessellations Publishing",

pages = "223--230",

editor = "K. Delp and C.S. Kaplan and D. McKenna and R. Sarhangi",

booktitle = "Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015",

url = "http://bridgesmathart.org/bridges-2015/",

}

Feijs, LMG & Toeters, MJ 2015, A novel line fractal pied de poule (houndstooth). in K Delp, CS Kaplan, D McKenna & R Sarhangi (eds), Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015. Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture, vol. 2015, Tessellations Publishing, Phoenix, pp. 223-230, Bridges 2015, July 29-August 1 2015, Baltimore, MD, USA, Baltimore, MD, United States, 29/07/15.

A novel line fractal pied de poule (houndstooth). / Feijs, L.M.G.; Toeters, M.J.
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015. ed. / K. Delp; C.S. Kaplan; D. McKenna; R. Sarhangi. Phoenix: Tessellations Publishing, 2015. p. 223-230 (Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture; Vol. 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A novel line fractal pied de poule (houndstooth)

AU - Feijs, L.M.G.

AU - Toeters, M.J.

N1 - @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}} }

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

M3 - Conference contribution

SN - 978-1-938664-15-1

T3 - Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture

SP - 223

EP - 230

BT - Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015

A2 - Delp, K.

A2 - Kaplan, C.S.

A2 - McKenna, D.

A2 - Sarhangi, R.

PB - Tessellations Publishing

CY - Phoenix

T2 - Bridges 2015, July 29-August 1 2015, Baltimore, MD, USA

Y2 - 29 July 2015 through 1 August 2015

ER -

Feijs LMG , Toeters MJ. A novel line fractal pied de poule (houndstooth). In Delp K, Kaplan CS, McKenna D, Sarhangi R, editors, Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015. Phoenix: Tessellations Publishing. 2015. p. 223-230. (Proceedings of Bridges: Mathematics, Music, Art, Architecture, Culture).

A novel line fractal pied de poule (houndstooth)

Abstract

Publication series

Conference

Bibliographical note

Access to Document

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Research output

Designing fractal line pied-de-poules: a case study in algorithmic design mediating between culture and fractal mathematics

Fractal Pied de Poule (houndstooth) Collection SS'15: Parka and Jacket

Drapely-o-lightment and fPDP: contributions to mathematical art exhibition in Enschede

Cite this