Catalanische Körper: Unterschied zwischen den Versionen

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== Triakistetraeder ==
 
== Triakistetraeder ==
−
 
 
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
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|style="vertical-align:top" ; width=300px|
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|style="vertical-align:top" ; width="20%"|
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<span style="color:#000000"> [[Datei:Tetraederstumpf waagerecht.png|200px]]
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<span style="color:#000000">
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|style="vertical-align:top" ; width=1000px|
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<center>
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<span style="color:#000000"> [[File:Triakistetrahedron.jpg|200px]]
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−
 
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<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
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</center>
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|style="vertical-align:top" ; width="25%"|
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<span style="color:#000000">
 
|}
 
|}
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== Rhombendodekaeder ==
 
== Rhombendodekaeder ==
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{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
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|style="vertical-align:top" ; width="20%"|
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<span style="color:#000000">
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<center>
 
<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
−
[http://de.wikipedia.org/wiki/Catalanische_K%C3%B6rper]
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</center>
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|style="vertical-align:top" ; width="25%"|
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<span style="color:#000000">
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|}
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== Triakisoktaeder ==
 
== Triakisoktaeder ==
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Er kann durch das Abschneiden von Ecken aus dem Hexaeder gebildet werden
 
Er kann durch das Abschneiden von Ecken aus dem Hexaeder gebildet werden
 
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== Tetrakishexaeder ==
 
== Tetrakishexaeder ==
 
[[File:Tetrakishexahedron.jpg|x200px]]«»[[]]
 
[[File:Tetrakishexahedron.jpg|x200px]]«»[[]]
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 +
  
 
== Deltoidalikositetraeder==
 
== Deltoidalikositetraeder==
  
−
{|style="background:#BFEFFF" border="1" cellspacing="0" cellpadding="4"
+
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 
|style="vertical-align:top" ; width="20%"|
 
|style="vertical-align:top" ; width="20%"|
−
<span style="color:#990000">
+
<span style="color:#000000">
 +
<center>
 
<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
 +
</center>
 
|style="vertical-align:top" ; width="25%"|
 
|style="vertical-align:top" ; width="25%"|
−
<span style="color:#009900">Zweite Spalte
+
<span style="color:#000000">
 
|}
 
|}
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 +
  
 
== Großes Rhombenkuboktaeder ==
 
== Großes Rhombenkuboktaeder ==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 +
<popup name="">
 +
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 +
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
 +
 +
 
== Rhombentriakontaeder ==
 
== Rhombentriakontaeder ==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 +
<popup name="">
 +
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 +
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
 +
 +
 
== Triakisikosaeder ==
 
== Triakisikosaeder ==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 
<popup name="">
 
<popup name="">
−
[[]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font>  [[File:Triakisoctahedron.jpg|x200px]]
+
[[File:Leonardo polyhedra.png|x200px]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
  
 
== Pentakisdodekaeder==
 
== Pentakisdodekaeder==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 
<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
 +
 +
 
== Pentagonikositetraeder ==
 
== Pentagonikositetraeder ==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 
<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
 +
 
== Deltoidalhexakontaeder ==
 
== Deltoidalhexakontaeder ==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 
<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
 +
 
== Großes Rhombenikosidodekaeder ==
 
== Großes Rhombenikosidodekaeder ==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 
<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
 +
 +
 
== Pentagonhexakontaeder ==
 
== Pentagonhexakontaeder ==
 +
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4"
 +
|style="vertical-align:top" ; width="20%"|
 +
<span style="color:#000000">
 +
<center>
 
<popup name="">
 
<popup name="">
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
[[File:Leonardo polyhedra.png|x200px]] <font size="7">  « </font> <font size="6">=</font> <font size="7"> »  </font>  [[File:Deltoidalicositetrahedron.jpg|x200px]]
 
</popup>
 
</popup>
 +
</center>
 +
|style="vertical-align:top" ; width="25%"|
 +
<span style="color:#000000">
 +
|}
  
  

Version vom 11. November 2013, 20:33 Uhr

Platonische Körper Briefpapier Button.pngPlatonische Körper
Archimedische Körper Briefpapier Button.pngArchimedische Körper
Catalanische Körper.jpgCatalanische Körper
Sternkörper Briefpapier Button.pngSternkörper





C A T A L A N I S C H E   K Ö R P E R                            




Inhaltsverzeichnis

Allgemeines

Archimedische Körper können durch das Abschneiden von Ecken und das Hinzufügen von Ecken aus den platonischen Körpern abgeleitet werden.

Als Beispiel wird hier die Wandlung des Tetraeders zum Tetraederstumpf verbildlicht.

Im Folgenden wird nur noch der Endkörper und dessen Ausgangskörper angezeigt.

Archimedian Solids 15.jpg


Triakistetraeder


Rhombendodekaeder


Triakisoktaeder

Hexaederstumpf.png

Der Hexaederstumpf besitzt: 

         10 Ecken
         10 Ecken
         10 Ecken

Er kann durch das Abschneiden von Ecken aus dem Hexaeder gebildet werden


Tetrakishexaeder

Tetrakishexahedron.jpg«»[[]]


Deltoidalikositetraeder


Großes Rhombenkuboktaeder


Rhombentriakontaeder


Triakisikosaeder

Pentakisdodekaeder


Pentagonikositetraeder

Deltoidalhexakontaeder

Großes Rhombenikosidodekaeder


Pentagonhexakontaeder




Trunc-icosa.jpg[1]

  • ↑ Ikosaederstumpf

    • Von „http://rmg.zum.de/index.php?title=Benutzer:Thamm_Pascal/Platonische_Körper/Weiterführende_Inhalte/Catalanische_Körper&oldid=54786“

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