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		<title>Evolutionary Development of Mathematically Defined Forms - Versionsgeschichte</title>
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		<title>Gbachelier: Die Seite wurde neu angelegt: „  == Reference == Robert J. Krawczyk: Evolutionary Development of Mathematically Defined Forms. In: Bridges 2000. Pages 125–132   == DOI ==  == Abstract …“</title>
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				<updated>2015-01-02T20:04:08Z</updated>
		
		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „  == Reference == Robert J. Krawczyk: Evolutionary Development of Mathematically Defined Forms. In: &lt;a href=&quot;/index.php?title=Bridges_2000&quot; title=&quot;Bridges 2000&quot;&gt;Bridges 2000&lt;/a&gt;. Pages 125–132   == DOI ==  == Abstract …“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
&lt;br /&gt;
== Reference ==&lt;br /&gt;
Robert J. Krawczyk: Evolutionary Development of Mathematically Defined Forms. In: [[Bridges 2000]]. Pages 125–132 &lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
With the increase use of algorithms to develop images, as well as, three-dimensional sculptural and&lt;br /&gt;
architectural forms, additional focus should be placed on methods to teach students how to approach such a&lt;br /&gt;
design technique. This paper reviews one such method. Architectural students are looking for inspiration for&lt;br /&gt;
new forms to better realize their own designs and computer methods are offering them another tool to expand&lt;br /&gt;
their investigations. This paper outlines one method used as part of a programming course developed for&lt;br /&gt;
architectural students. The method highlights a very sequential approach to form investigation in using a&lt;br /&gt;
common starting geometry. This approach stresses the development of rules and evaluating their results as a&lt;br /&gt;
method to determine the next step to investigate. Equal importance is placed on the anticipated, as well as,&lt;br /&gt;
the unexpected.&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] Ching, Francis. Architecture: Form, Space &amp;amp; Order. Van Nostrand Reinhold Company, 1979&lt;br /&gt;
&lt;br /&gt;
[2] Krause, Jeffrey: &amp;quot;Agent Based Architecture&amp;quot;. Association of Computer-Aided Design. in Architecture Conference Proceedings, 1997&lt;br /&gt;
&lt;br /&gt;
[3] Krawczyk, Robert. &amp;quot;Hilbert&amp;#039;s Building Blocks&amp;quot;. Mathematics &amp;amp; Design Conference Proceedings, 1998&lt;br /&gt;
&lt;br /&gt;
[4] Krawczyk, Robert. &amp;quot;Programs as Pencils: Investigating Form Generation&amp;quot;. Association of Computer-&lt;br /&gt;
Aided Design. in Architecture Conference Proceedings, 1997&lt;br /&gt;
&lt;br /&gt;
[5] Lawrence, J. Dennis. A Catalog of Special Plane Curves. Dover Publications, 1972&lt;br /&gt;
&lt;br /&gt;
[6] Maeda, John. Design by Numbers. The MIT Press, 1999&lt;br /&gt;
&lt;br /&gt;
[7] Mitchell, William, Liggett, Robin, Kvan, Thomas. The Art of Computer Graphics Programming. Van&lt;br /&gt;
Nostrand Reinhold Company, 1987&lt;br /&gt;
&lt;br /&gt;
[8] Sequin, Carlo. &amp;quot;Art Math, and Computers: New Ways of Creating Pleasing Shapes&amp;quot;. Bridges&lt;br /&gt;
Mathematical Connection in Art, Music, and Science Conference Proceedings, 1998&lt;br /&gt;
&lt;br /&gt;
[9] Sequin, Carlo. &amp;quot;Analogies from 2D to 3D, Exercises in Disciplined Creativity&amp;quot;.&lt;br /&gt;
Bridges Mathematical Connection in Art, Music, and Science Conference Proceedings, 1999&lt;br /&gt;
&lt;br /&gt;
[10] Yessios, Chris. &amp;quot;A Fractal Studio&amp;quot;. Association of Computer-Aided Design.&lt;br /&gt;
in Architecture Conference Proceedings, 1987&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2000/bridges2000-125.pdf&lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2000/bridges2000-125.html&lt;/div&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

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