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				<updated>2016-12-27T11:16:49Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Bibtex&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
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				&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 27. Dezember 2016, 11:16 Uhr&lt;/td&gt;
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&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;&amp;#160;&amp;#160; url&amp;#160; &amp;#160; &amp;#160; &amp;#160;  = {http://de.evo-art.org/index.php?title=Three_Mathematical_Sculptures_for_the_Mathematikon},&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;&amp;#160;&amp;#160; url&amp;#160; &amp;#160; &amp;#160; &amp;#160;  = {http://de.evo-art.org/index.php?title=Three_Mathematical_Sculptures_for_the_Mathematikon },&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;&amp;#160;&amp;#160; note&amp;#160; &amp;#160; &amp;#160; &amp;#160; = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-105.html}}&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;&amp;#160;&amp;#160; note&amp;#160; &amp;#160; &amp;#160; &amp;#160; = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-105.html}}&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;&amp;#160; }&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;&amp;#160; }&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Gubachelier</name></author>	</entry>

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				<updated>2016-12-26T21:57:34Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Bibtex&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
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&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;&amp;#160;&amp;#160; address&amp;#160; &amp;#160;  = {Phoenix, Arizona},&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;&amp;#160;&amp;#160; address&amp;#160; &amp;#160;  = {Phoenix, Arizona},&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;&amp;#160;&amp;#160; url&amp;#160; &amp;#160; &amp;#160; &amp;#160;  = {},&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;&amp;#160;&amp;#160; url&amp;#160; &amp;#160; &amp;#160; &amp;#160;  = {&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;http://de.evo-art.org/index.php?title=Three_Mathematical_Sculptures_for_the_Mathematikon&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;div&gt;&amp;#160;&amp;#160; note&amp;#160; &amp;#160; &amp;#160; &amp;#160; = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-105.html}}&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;&amp;#160;&amp;#160; note&amp;#160; &amp;#160; &amp;#160; &amp;#160; = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-105.html}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&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;== Used References ==&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;== Used References ==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Gubachelier</name></author>	</entry>

	<entry>
		<id>http://de.evo-art.org/index.php?title=Three_Mathematical_Sculptures_for_the_Mathematikon&amp;diff=33078&amp;oldid=prev</id>
		<title>Gubachelier: Die Seite wurde neu angelegt: „  == Reference == Tom Verhoeff and Koos Verhoeff: Three Mathematical Sculptures for the Mathematikon. In: Bridges 2016, Pages 105–110.  == DOI ==  ==…“</title>
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				<updated>2016-12-26T21:51:56Z</updated>
		
		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „  == Reference == Tom Verhoeff and Koos Verhoeff: &lt;a href=&quot;/index.php?title=Three_Mathematical_Sculptures_for_the_Mathematikon&quot; title=&quot;Three Mathematical Sculptures for the Mathematikon&quot;&gt;Three Mathematical Sculptures for the Mathematikon&lt;/a&gt;. In: &lt;a href=&quot;/index.php?title=Bridges_2016&quot; title=&quot;Bridges 2016&quot;&gt;Bridges 2016&lt;/a&gt;, Pages 105–110.  == DOI ==  ==…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt; &lt;br /&gt;
== Reference ==&lt;br /&gt;
Tom Verhoeff and Koos Verhoeff: [[Three Mathematical Sculptures for the Mathematikon]]. In: [[Bridges 2016]], Pages 105–110.&lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
Three stainless steel sculptures, designed by Dutch mathematical artist Koos Verhoeff, were installed at the new Mathematikon building of Heidelberg University. Lobke consists of six conical segments connected into a single convoluted strip. One side is polished, the other side is matte (blasted), to emphasize the two-sided nature of the strip. The shape derives from an Euler cycle on the octahedron. Balancing Act is a figure-eight knot, made from 16 polished triangular beam segments, 4 longer and 12 shorter segments. As a freestanding object it balances on a single short segment. Each beam runs parallel to one of the four main diagonals of a cube. Hamilton Cycle on Football is a Hamilton cycle on the traditional football (soccer ball), constructed from 60 matte square beams. Mathematicians know the traditional football as a truncated icosahedron, consisting of 12 pentagons and 20 hexagons, giving rise to 60 vertices. &lt;br /&gt;
&lt;br /&gt;
== Extended Abstract ==&lt;br /&gt;
&lt;br /&gt;
== Bibtex == &lt;br /&gt;
 @inproceedings{bridges2016:105,&lt;br /&gt;
  author      = {Tom Verhoeff and Koos Verhoeff},&lt;br /&gt;
  title       = {Three Mathematical Sculptures for the Mathematikon},&lt;br /&gt;
  pages       = {105--110},&lt;br /&gt;
  booktitle   = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},&lt;br /&gt;
  year        = {2016},&lt;br /&gt;
  editor      = {Eve Torrence, Bruce Torrence, Carlo S\&amp;#039;equin, Douglas McKenna, Krist\&amp;#039;of Fenyvesi and Reza Sarhangi},&lt;br /&gt;
  isbn        = {978-1-938664-19-9},&lt;br /&gt;
  issn        = {1099-6702},&lt;br /&gt;
  publisher   = {Tessellations Publishing},&lt;br /&gt;
  address     = {Phoenix, Arizona},&lt;br /&gt;
  url         = {},&lt;br /&gt;
  note        = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-105.html}}&lt;br /&gt;
 }&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Used References ==&lt;br /&gt;
[1] John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss. The Symmetries of Things. AK Peters, 2008.&lt;br /&gt;
&lt;br /&gt;
[2] Foundation MathArt Koos Verhoeff (Stichting Wiskunst Koos Verhoeff). wiskunst.dse.nl&lt;br /&gt;
&lt;br /&gt;
[3] Roestvrijstaalindustrie Geton, Veldhoven, Netherlands. URL: www.geton.nl/en&lt;br /&gt;
&lt;br /&gt;
[4] Klaus Tschira (founder). Klaus Tschira Foundation. URL: www.klaus-tschira-stiftung.de&lt;br /&gt;
&lt;br /&gt;
[5] Tom Verhoeff. “3D Turtle Geometry: Artwork, Theory, Program Equivalence and Symmetry”. Int. J.&lt;br /&gt;
of Arts and Technology, 3(2/3):288–319 (2010).&lt;br /&gt;
&lt;br /&gt;
[6] Tom Verhoeff, Koos Verhoeff. “The Mathematics of Mitering and Its Artful Application”, Bridges&lt;br /&gt;
Leeuwarden: Mathematics, Music, Art, Architecture, Culture, pp. 225–234, 2008. URL: archive.&lt;br /&gt;
bridgesmathart.org/2008/bridges2008-225.html&lt;br /&gt;
&lt;br /&gt;
[7] Tom Verhoeff, Koos Verhoeff. “Branching Miter Joints: Principles and Artwork”. In: George W. Hart,&lt;br /&gt;
Reza Sarhangi (Eds.), Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture.&lt;br /&gt;
Tessellations Publishing, pp.27–34, July 2010.&lt;br /&gt;
&lt;br /&gt;
[8] Tom Verhoeff, Koos Verhoeff. “Lobke, and Other Constructions from Conical Segments”, Bridges&lt;br /&gt;
Seoul: Mathematics, Music, Art, Architecture, Culture, pp. 309–316, 2014. URL: archive.&lt;br /&gt;
bridgesmathart.org/2014/bridges2014-309.html&lt;br /&gt;
&lt;br /&gt;
[9] Wikipedia. “Cubic Crystal System”, URL: en.wikipedia.org/wiki/Cubic_crystal_system&lt;br /&gt;
&lt;br /&gt;
[10] Wikipedia. “Klaus Tschira”, URL: en.wikipedia.org/wiki/Klaus_Tschira&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2016/bridges2016-105.pdf&lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2016/bridges2016-105.html&lt;/div&gt;</summary>
		<author><name>Gubachelier</name></author>	</entry>

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