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		<title>Sculptural Interpretation of a Mathematical Form - Versionsgeschichte</title>
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		<title>Gbachelier: Die Seite wurde neu angelegt: „  == Reference == Robert J. Krawczyk: Sculptural Interpretation of a Mathematical Form. In: Bridges 2002. Pages 1–8   == DOI ==  == Abstract == A num…“</title>
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				<updated>2015-02-01T12:28:44Z</updated>
		
		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „  == Reference == Robert J. Krawczyk: &lt;a href=&quot;/index.php?title=Sculptural_Interpretation_of_a_Mathematical_Form&quot; title=&quot;Sculptural Interpretation of a Mathematical Form&quot;&gt;Sculptural Interpretation of a Mathematical Form&lt;/a&gt;. In: &lt;a href=&quot;/index.php?title=Bridges_2002&quot; title=&quot;Bridges 2002&quot;&gt;Bridges 2002&lt;/a&gt;. Pages 1–8   == DOI ==  == Abstract == A num…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
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== Reference ==&lt;br /&gt;
Robert J. Krawczyk: [[Sculptural Interpretation of a Mathematical Form]]. In: [[Bridges 2002]]. Pages 1–8 &lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
A number of sculptures have been created based on three-dimensional mathematical forms and surfaces. In&lt;br /&gt;
most cases, the sculpture is an exact copy of the mathematics that it is based on. This paper explores another&lt;br /&gt;
method to mathematically create sculptural forms by starting with a two-dimensional figure. The goal is to&lt;br /&gt;
develop methods and insights on which elements in the original figure can be expressed in three-dimensions&lt;br /&gt;
and still keep some of the mathematical properties found in the original figure. The creation of each&lt;br /&gt;
sculptural variation is completed in custom software. The software becomes the modeling material and the&lt;br /&gt;
sculpting tools.&lt;br /&gt;
&lt;br /&gt;
== Extended Abstract ==&lt;br /&gt;
&lt;br /&gt;
== Bibtex == &lt;br /&gt;
&lt;br /&gt;
== Used References ==&lt;br /&gt;
[1] Sequin, Carlo, 1998, &amp;quot;Art, Math, and Computers: New Ways of Creating Pleasing Shapes&amp;quot;, in&lt;br /&gt;
Bridges: Mathematical Connection in Art, Music, and Science 1998, edited by Reza Sarhangi,&lt;br /&gt;
Southwestern College&lt;br /&gt;
&lt;br /&gt;
[2] Sequin, Carlo, 2000, &amp;quot;Turning Mathematical Model into Sculptures&amp;quot;, in The Millennial Open&lt;br /&gt;
Symposium on the Arts and Interdisciplinary Computing, edited by D. Salesin and C. Sequin, University&lt;br /&gt;
of Washington&lt;br /&gt;
&lt;br /&gt;
[3] Peterson, Ivars, 2001, Fragments ofInfinity, A Kaleidoscope of Math and Art, John Wiley &amp;amp; Sons&lt;br /&gt;
&lt;br /&gt;
[4] Odds, Frank, &amp;quot;Spirolaterals&amp;quot;, Mathematics Teacher, February 1973, pp.121-124&lt;br /&gt;
&lt;br /&gt;
[5] Abelson, Harold, diSessa, Andera, 1968, Turtle Geometry, MIT Press, pp.37-39, 120-122&lt;br /&gt;
&lt;br /&gt;
[6] Gardner, Martin, 1986, Knotted Doughnuts and Other Mathematical Entertainments, W. H. Freemand&lt;br /&gt;
and Company, pp. 205-208&lt;br /&gt;
&lt;br /&gt;
[7] Krawczyk, Robert, 1999, &amp;quot;Spirolaterals, Complexity from Simplicity&amp;quot;, in International Society of&lt;br /&gt;
Arts, Mathematics and Architecture 1999,edited by N. Friedman and J. Barrallo, The University of the&lt;br /&gt;
Basque Country, pp. 293-299&lt;br /&gt;
&lt;br /&gt;
[8] Krawczyk, Robert, 2000, &amp;quot;The Art of Spirolaterals&amp;quot;, in The Millennial Open Symposium on the Arts&lt;br /&gt;
and Interdisciplinary Computing, edited by D. Salesin and C. Sequin, University of Washington, pp. 127-&lt;br /&gt;
136&lt;br /&gt;
&lt;br /&gt;
[9] Krawczyk, Robert, 2000, &amp;quot;The Art of Spirolateral Reversal&amp;quot;, in International Society of Arts,&lt;br /&gt;
Mathematics and Architecture 2000, edited by N. Friedman, University of Albany-SUNY&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2002/bridges2002-1.pdf&lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2002/bridges2002-1.html&lt;/div&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

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