A Mathematical Approach to Obtain Isoperimetric Shapes for D-Form Construction
Inhaltsverzeichnis
Reference
Ramon Roel Orduño, Nicholas Winard, Steven Bierwagen, Dylan Shell, Negar Kalantar, Alireza Borhani and Ergun Akleman: A Mathematical Approach to Obtain Isoperimetric Shapes for D-Form Construction. In: Bridges 2016, Pages 277–284.
DOI
Abstract
Physical D-forms are obtained by joining the boundaries of two flat shapes with the same perimeter. To ensure both possess identical perimeters, one usually joins two pieces with identical shape (e.g., two congruent ellipses. Yet, using two different shapes increases the design possibilities significantly. In this paper, we present a simple mathematical approach to obtain two isoperimetric shapes for the physical construction of more general D-form surfaces. Using this approach, we have developed plug-ins for Adobe® Illustrator and Inkscape, which we tested in two freshman-level architecture studios. All of the freshman students were able to construct interesting physical D-form surfaces and then, using these physical form surfaces as casts, were able to build interesting concrete sculptures.
Extended Abstract
Bibtex
@inproceedings{bridges2016:277,
author = {Ramon Roel Ordu\~{n}o, Nicholas Winard, Steven Bierwagen, Dylan Shell, Negar Kalantar, Alireza Borhani and Ergun Akleman},
title = {A Mathematical Approach to Obtain Isoperimetric Shapes for D-Form Construction},
pages = {277--284},
booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
year = {2016},
editor = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
isbn = {978-1-938664-19-9},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
url = {http://de.evo-art.org/index.php?title=A_Mathematical_Approach_to_Obtain_Isoperimetric_Shapes_for_D-Form_Construction },
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-277.html}}
}
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Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-277.pdf
