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Gubachelier: Die Seite wurde neu angelegt: „== Reference == Greg N. Frederickson: Folding Pseudo-Stars that are Cyclicly Hinged. In: Bridges 2015. Pages 1–8 == DOI == == Abstract == Motivat…“

2015-10-23T20:55:04Z

Die Seite wurde neu angelegt: „== Reference == Greg N. Frederickson: Folding Pseudo-Stars that are Cyclicly Hinged. In: Bridges 2015. Pages 1–8 == DOI == == Abstract == Motivat…“

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== Reference ==
Greg N. Frederickson: [[Folding Pseudo-Stars that are Cyclicly Hinged]]. In: [[Bridges 2015]]. Pages 1–8

== DOI ==

== Abstract ==
Motivated by a (layered) folding dissection of a 2-high {10/3}-star to a 4-high {5/2}-star, we identify an infinite class
of folding dissections for pseudo-stars for which the dissections are cyclicly hinged. In addition to folding dissections
of 2-high to 4-high pseudo-stars, the class includes folding dissections of 2-high to (2h)-high pseudo-stars for any
whole number h, as well as folding dissections of (2h)-high to (2h′)-high pseudo-stars where h and h′ are whole
numbers such that gcd(h, h′) = 1. The total number of pieces in each of these folding dissections is the sum of the
number of points in both stars.

== Extended Abstract ==

== Bibtex ==
@inproceedings{bridges2015:1,
author = {Greg N. Frederickson},
title = {Folding Pseudo-Stars that are Cyclicly Hinged },
pages = {1--8},
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/bridges2015-1.html}}
}

== Used References ==
[1] C. S. Elliott. An extension to polygram shapes and some new dissections. Journal of Recreational
Mathematics, 27(4):277–284, 1995.

[2] Greg N. Frederickson. Dissections Plane & Fancy. Cambridge University Press, New York, 1997.

[3] Greg N. Frederickson. Hinged Dissections: Swinging and Twisting. Cambridge University Press, New
York, 2002.

[4] Greg N. Frederickson. Piano-Hinged Dissections: Time to Fold! A K Peters, Wellesley, MA, 2006.

[5] Greg N. Frederickson. Dissecting and folding stacked geometric figures. Powerpoint presentation at the
DIMACS Workshop on Algorithmic Mathematical Art: Special Cases and Their Applications, Rutgers
University, Piscataway, NJ., 2009.

[6] Greg N. Frederickson. My parade of algorithmic mathematical art. In Robert Bosch, DouglasMcKenna,
and Reza Sarhangi, editors, Bridges Towson: Mathematics, Music, Art, Architecture, Culture, Proceedings
2012, pages 41–48, Towson, MD, 2012. Tessellations Publishing.

[7] Harry Lindgren. Geometric Dissections. D. Van Nostrand Company, Princeton, New Jersey, 1964.

== Links ==
=== Full Text ===
http://archive.bridgesmathart.org/2015/bridges2015-1.pdf

[[intern file]]

=== Sonstige Links ===
http://archive.bridgesmathart.org/2015/bridges2015-1.html

@@ Zeile 26: / Zeile 26: @@
    publisher   = {Tessellations Publishing},
    address     = {Phoenix, Arizona},
-   note        = {Available online at \url{http://archive.bridgesmathart.org/2015/bridges2015-1.html }}
+   note        = {Available online at \url{http://archive.bridgesmathart.org/2015/bridges2015-1.html }},
+  }

Folding Pseudo-Stars that are Cyclicly Hinged - Versionsgeschichte

Gubachelier: /* Bibtex */

Gubachelier: /* Bibtex */

Gubachelier: Die Seite wurde neu angelegt: „== Reference == Greg N. Frederickson: Folding Pseudo-Stars that are Cyclicly Hinged. In: Bridges 2015. Pages 1–8 == DOI == == Abstract == Motivat…“