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	<id>https://wiki.guldforum.se/w/index.php?action=history&amp;feed=atom&amp;title=Dodekaeder</id>
	<title>Dodekaeder - Versionshistorik</title>
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	<updated>2026-11-06T01:53:41Z</updated>
	<subtitle>Versionshistorik för denna sida på wikin</subtitle>
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	<entry>
		<id>https://wiki.guldforum.se/w/index.php?title=Dodekaeder&amp;diff=13553&amp;oldid=prev</id>
		<title>Dan Olsson den 3 april 2013 kl. 18.07</title>
		<link rel="alternate" type="text/html" href="https://wiki.guldforum.se/w/index.php?title=Dodekaeder&amp;diff=13553&amp;oldid=prev"/>
		<updated>2013-04-03T18:07:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;sv&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Äldre version&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Versionen från 3 april 2013 kl. 13.07&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-l1&quot;&gt;Rad 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;{|class=&quot;infobox&quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;{|class=&quot;infobox&quot; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;style= float:right;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;!colspan=&amp;quot;2&amp;quot;|&amp;#039;&amp;#039;&amp;#039;{{PAGENAME}}&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;!colspan=&amp;quot;2&amp;quot;|&amp;#039;&amp;#039;&amp;#039;{{PAGENAME}}&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&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-l13&quot;&gt;Rad 13:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Rad 13:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;[[Fil:Dodecahedron-tongeren.jpg|thumb|250px|Stor modell av en keltisk dodekaeder i &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/del&gt;Tongeren&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/del&gt;Limburg &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(belgisk provins)|Limburg]]&lt;/del&gt;).]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;[[Fil:Dodecahedron-tongeren.jpg|thumb|250px|Stor modell av en keltisk dodekaeder i Tongeren (Limburg).]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Dodekaeder&amp;#039;&amp;#039;&amp;#039; (av grekiskans &amp;#039;&amp;#039;dodeka&amp;#039;&amp;#039;, tolv, och &amp;#039;&amp;#039;hedra&amp;#039;&amp;#039;, säte, grundyta) är en [[polyeder]] vars [[sida (geometri)|sidor]] utgörs av tolv liksidiga [[pentagon]]er. Dodekaedern är den fjärde av de fem [[platonska kropparna]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Dodekaeder&amp;#039;&amp;#039;&amp;#039; (av grekiskans &amp;#039;&amp;#039;dodeka&amp;#039;&amp;#039;, tolv, och &amp;#039;&amp;#039;hedra&amp;#039;&amp;#039;, säte, grundyta) är en [[polyeder]] vars [[sida (geometri)|sidor]] utgörs av tolv liksidiga [[pentagon]]er. Dodekaedern är den fjärde av de fem [[platonska kropparna]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Dan Olsson</name></author>
	</entry>
	<entry>
		<id>https://wiki.guldforum.se/w/index.php?title=Dodekaeder&amp;diff=13550&amp;oldid=prev</id>
		<title>Dan Olsson: Skapade sidan med &#039;{|class=&quot;infobox&quot; !colspan=&quot;2&quot;|&#039;&#039;&#039;{{PAGENAME}}&#039;&#039;&#039; |- |colspan=&quot;2&quot;|150px |- |Dimensioner||3 |- |Hörn||20 |- |Sidor||12 |-...&#039;</title>
		<link rel="alternate" type="text/html" href="https://wiki.guldforum.se/w/index.php?title=Dodekaeder&amp;diff=13550&amp;oldid=prev"/>
		<updated>2013-04-03T17:58:33Z</updated>

		<summary type="html">&lt;p&gt;Skapade sidan med &amp;#039;{|class=&amp;quot;infobox&amp;quot; !colspan=&amp;quot;2&amp;quot;|&amp;#039;&amp;#039;&amp;#039;{{PAGENAME}}&amp;#039;&amp;#039;&amp;#039; |- |colspan=&amp;quot;2&amp;quot;|&lt;a href=&quot;/w/index.php/Fil:Dodecahedron.gif&quot; title=&quot;Fil:Dodecahedron.gif&quot;&gt;150px&lt;/a&gt; |- |&lt;a href=&quot;/w/index.php/Dimension&quot; title=&quot;Dimension&quot;&gt;Dimensioner&lt;/a&gt;||3 |- |&lt;a href=&quot;/w/index.php?title=H%C3%B6rn&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Hörn (sidan existerar inte)&quot;&gt;Hörn&lt;/a&gt;||20 |- |&lt;a href=&quot;/w/index.php?title=Sida_(geometri)&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Sida (geometri) (sidan existerar inte)&quot;&gt;Sidor&lt;/a&gt;||12 |-...&amp;#039;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Ny sida&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{|class=&amp;quot;infobox&amp;quot;&lt;br /&gt;
!colspan=&amp;quot;2&amp;quot;|&amp;#039;&amp;#039;&amp;#039;{{PAGENAME}}&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
|colspan=&amp;quot;2&amp;quot;|[[Bild:Dodecahedron.gif|150px]]&lt;br /&gt;
|-&lt;br /&gt;
|[[Dimension]]er||3&lt;br /&gt;
|-&lt;br /&gt;
|[[Hörn]]||20&lt;br /&gt;
|-&lt;br /&gt;
|[[Sida (geometri)|Sidor]]||12&lt;br /&gt;
|-&lt;br /&gt;
|[[Kant (geometri)|Kanter]]||30&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[Fil:Dodecahedron-tongeren.jpg|thumb|250px|Stor modell av en keltisk dodekaeder i [[Tongeren]] ([[Limburg (belgisk provins)|Limburg]]).]]&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Dodekaeder&amp;#039;&amp;#039;&amp;#039; (av grekiskans &amp;#039;&amp;#039;dodeka&amp;#039;&amp;#039;, tolv, och &amp;#039;&amp;#039;hedra&amp;#039;&amp;#039;, säte, grundyta) är en [[polyeder]] vars [[sida (geometri)|sidor]] utgörs av tolv liksidiga [[pentagon]]er. Dodekaedern är den fjärde av de fem [[platonska kropparna]].&lt;br /&gt;
&lt;br /&gt;
[[Fil:Platonic Solids Stereo 4 - Dodecahedron.gif|miniatyr|höger|250px|Roterande och ihopfällande dodekaeder.]]&lt;br /&gt;
Den har 20 tretaliga [[hörn]] och 30 kanter. (Att ett hörn är &amp;#039;&amp;#039;tretaligt&amp;#039;&amp;#039; betyder&lt;br /&gt;
att det utgår tre kantlinjer från varje hörn).&lt;br /&gt;
&lt;br /&gt;
Den dihedrala vinkeln (vinkeln mellan två plan) är π − arctan(2), cirka 116,56°.&lt;br /&gt;
&lt;br /&gt;
== Keltiska dodekaedrar ==&lt;br /&gt;
På några ställen i Frankrike och Belgien har man hittat dodekaedrar av metall. Deras betydelse är okänd.&lt;br /&gt;
&lt;br /&gt;
{{Geometriska figurer}}&lt;br /&gt;
&lt;br /&gt;
[[Kategori:Geometriska figurer]]&lt;/div&gt;</summary>
		<author><name>Dan Olsson</name></author>
	</entry>
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