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		<id>http://de.evo-art.org/index.php?action=history&amp;feed=atom&amp;title=Removing_Tremas_with_a_Rational_Function</id>
		<title>Removing Tremas with a Rational Function - Versionsgeschichte</title>
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		<updated>2026-05-18T15:51:17Z</updated>
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	<entry>
		<id>http://de.evo-art.org/index.php?title=Removing_Tremas_with_a_Rational_Function&amp;diff=3899&amp;oldid=prev</id>
		<title>Gbachelier: /* Used References */</title>
		<link rel="alternate" type="text/html" href="http://de.evo-art.org/index.php?title=Removing_Tremas_with_a_Rational_Function&amp;diff=3899&amp;oldid=prev"/>
				<updated>2015-01-28T11:02:17Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Used References&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&#039;diff-marker&#039; /&gt;
				&lt;col class=&#039;diff-content&#039; /&gt;
				&lt;col class=&#039;diff-marker&#039; /&gt;
				&lt;col class=&#039;diff-content&#039; /&gt;
				&lt;tr style=&#039;vertical-align: top;&#039; lang=&#039;de&#039;&gt;
				&lt;td colspan=&#039;2&#039; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan=&#039;2&#039; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Version vom 28. Januar 2015, 11:02 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l23&quot; &gt;Zeile 23:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 23:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;European Mathematical Society, 2006, 3-03719-011-6&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;European Mathematical Society, 2006, 3-03719-011-6&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[2]Robert Devaney, http://www.math.bu.edu/people/bob/papers.html&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[2]Robert Devaney, http://www.math.bu.edu/people/bob/papers.html &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;404&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[3] Joel Louwsma. Homeomorphism Groups of the Sierpinski Carpet and Sierpinski Gasket, REU project&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[3] Joel Louwsma. Homeomorphism Groups of the Sierpinski Carpet and Sierpinski Gasket, REU project&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

	<entry>
		<id>http://de.evo-art.org/index.php?title=Removing_Tremas_with_a_Rational_Function&amp;diff=3898&amp;oldid=prev</id>
		<title>Gbachelier: /* Used References */</title>
		<link rel="alternate" type="text/html" href="http://de.evo-art.org/index.php?title=Removing_Tremas_with_a_Rational_Function&amp;diff=3898&amp;oldid=prev"/>
				<updated>2015-01-28T11:01:49Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Used References&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&#039;diff-marker&#039; /&gt;
				&lt;col class=&#039;diff-content&#039; /&gt;
				&lt;col class=&#039;diff-marker&#039; /&gt;
				&lt;col class=&#039;diff-content&#039; /&gt;
				&lt;tr style=&#039;vertical-align: top;&#039; lang=&#039;de&#039;&gt;
				&lt;td colspan=&#039;2&#039; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Nächstältere Version&lt;/td&gt;
				&lt;td colspan=&#039;2&#039; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Version vom 28. Januar 2015, 11:01 Uhr&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l27&quot; &gt;Zeile 27:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 27:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[3] Joel Louwsma. Homeomorphism Groups of the Sierpinski Carpet and Sierpinski Gasket, REU project&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[3] Joel Louwsma. Homeomorphism Groups of the Sierpinski Carpet and Sierpinski Gasket, REU project&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;at University of Michigan, July 1, 2004,&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;at University of Michigan, July 1, 2004,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;http://www.math.lsa.umich.edu/undergrad/REU/ArchivedREUpapers/Joels%20Paper.pdf&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;http://www.math.lsa.umich.edu/undergrad/REU/ArchivedREUpapers/Joels%20Paper.pdf &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;404&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[4] Benoit B. Mandelbrot. The Fractal Geometry of Nature, W.H. Freeman and Company, New York,&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[4] Benoit B. Mandelbrot. The Fractal Geometry of Nature, W.H. Freeman and Company, New York,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;1983&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;1983&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Links ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Links ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

	<entry>
		<id>http://de.evo-art.org/index.php?title=Removing_Tremas_with_a_Rational_Function&amp;diff=3897&amp;oldid=prev</id>
		<title>Gbachelier: Die Seite wurde neu angelegt: „  == Reference == Anne Burns: Removing Tremas with a Rational Function. In: Bridges 2013. Pages 95–102   == DOI ==  == Abstract == In his charming in…“</title>
		<link rel="alternate" type="text/html" href="http://de.evo-art.org/index.php?title=Removing_Tremas_with_a_Rational_Function&amp;diff=3897&amp;oldid=prev"/>
				<updated>2015-01-28T11:01:12Z</updated>
		
		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „  == Reference == Anne Burns: &lt;a href=&quot;/index.php?title=Removing_Tremas_with_a_Rational_Function&quot; title=&quot;Removing Tremas with a Rational Function&quot;&gt;Removing Tremas with a Rational Function&lt;/a&gt;. In: &lt;a href=&quot;/index.php?title=Bridges_2013&quot; title=&quot;Bridges 2013&quot;&gt;Bridges 2013&lt;/a&gt;. Pages 95–102   == DOI ==  == Abstract == In his charming in…“&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;
Anne Burns: [[Removing Tremas with a Rational Function]]. In: [[Bridges 2013]]. Pages 95–102 &lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
In his charming inimitable style, Benoit Mandelbrot, in his book The Fractal Geometry of Nature, describes the&lt;br /&gt;
removal of “tremas”. Two examples of figures constructed by removing tremas are familiar fractals: carpets and&lt;br /&gt;
gaskets. This paper will briefly describe the difference between a carpet and a gasket and then illustrate how the&lt;br /&gt;
Julia set of a rational function can be a carpet, a gasket or another structure generated by “removing tremas”. An&lt;br /&gt;
added bonus is beautiful images resulting from an imaginative assignment of color.&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] Paul Blanchard, Robert L. Devaney,Daniel M. Look, Pradipta Seal, Stefan Siegmund, David&lt;br /&gt;
Uminsky. Sierpinski Carpets and Gaskets as Julia Sets of Rational Maps, pp 97-119, Dynamics on the&lt;br /&gt;
Riemann Sphere, A Bodil Branner Festschrift, Paul G. Horth and Carsten Lunde Petersen, Editors,&lt;br /&gt;
European Mathematical Society, 2006, 3-03719-011-6&lt;br /&gt;
&lt;br /&gt;
[2]Robert Devaney, http://www.math.bu.edu/people/bob/papers.html&lt;br /&gt;
&lt;br /&gt;
[3] Joel Louwsma. Homeomorphism Groups of the Sierpinski Carpet and Sierpinski Gasket, REU project&lt;br /&gt;
at University of Michigan, July 1, 2004,&lt;br /&gt;
http://www.math.lsa.umich.edu/undergrad/REU/ArchivedREUpapers/Joels%20Paper.pdf&lt;br /&gt;
&lt;br /&gt;
[4] Benoit B. Mandelbrot. The Fractal Geometry of Nature, W.H. Freeman and Company, New York,&lt;br /&gt;
1983&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2013/bridges2013-95.pdf&lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2013/bridges2013-95.html&lt;/div&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

	</feed>