Catalanische Körper: Unterschied zwischen den Versionen
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− | rect 0 0 0 0 [[Benutzer:Thamm_Pascal/Platonische Körper/Weiterführende_Inhalte/ | + | rect 0 0 0 0 [[Benutzer:Thamm_Pascal/Platonische Körper/Weiterführende_Inhalte/Catalanische_Körper|Catalanische Körper]] |
− | default [[Benutzer:Thamm_Pascal/Platonische Körper/Weiterführende_Inhalte/ | + | default [[Benutzer:Thamm_Pascal/Platonische Körper/Weiterführende_Inhalte/Catalanische_Körper|Catalanische Körper]] |
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<center>'''<u><font size="10"> C A T A L A N I S C H E K Ö R P E R </font></u><font size="10"> </font>'''</center> | <center>'''<u><font size="10"> C A T A L A N I S C H E K Ö R P E R </font></u><font size="10"> </font>'''</center> | ||
<br><br> | <br><br> | ||
+ | Die Catalanischen Körper werden auch dualarchimedische Körper genannt, da jeder Catalanische einen Archimedischen Körper besitzt, zu welchem er dual ist. | ||
+ | [[Datei:Zusammenfassung aller Catalanischen Körper.png|800px|rechts]] | ||
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− | |||
− | |||
== Allgemeines == | == Allgemeines == | ||
− | |||
− | |||
− | + | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | |
+ | Bei Catalanischen Körpern wird die "Oberfläche aus kongruenten ungleichseitigen [...] Vielecken einer einzigen Flächenart gebildet"<ref name="">Paul Adam, Arnold Wyss, Platonische und Archimedische Körper; ihre Sternformen und polaren Gebilde, Stuttgart 1994, S.77</ref>, die "Ecken [werden] von ungleich vielen Kanten gebildet"<ref>Ebd., a. a. O.</ref> und die "Kanten [sind] ungleich lang" <ref>Ebd., a. a. O.</ref>. | ||
+ | |||
+ | |} | ||
+ | |||
+ | == Triakistetraeder == | ||
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Triakistetrahedron.jpg|x200px|Triakistetraeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Datei:Tetraederstumpf waagerecht.png|x200px|Tetraederstumpf]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
+ | |} | ||
− | |style="vertical-align:top" ; width= | + | == Rhombendodekaeder == |
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
<span style="color:#000000"> | <span style="color:#000000"> | ||
− | <center><popup name=" | + | <center> |
− | [[ | + | <popup name=""> |
− | </popup></center> | + | [[File:Rhombicdodecahedron.jpg|x200px|Rhombendodekaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Datei:Kuboktaeder.png|x200px|Kuboktaeder]] |
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
+ | |} | ||
− | |style="vertical-align:top" ; width= | + | == Triakisoktaeder == |
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
<span style="color:#000000"> | <span style="color:#000000"> | ||
− | <center><popup name=" | + | <center> |
− | [[ | + | <popup name=""> |
− | </popup></center> | + | [[File:Triakisoctahedron.jpg|x200px|Triakisoktaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Datei:Hexaederstumpf.png|x200px|Triakisoktaeder]] |
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
+ | |} | ||
+ | == Tetrakishexaeder == | ||
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Tetrakishexahedron.jpg|x200px|Tetrakishexaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Datei:Oktaederstumpf.png|x200px|Oktaederstumpf]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
|} | |} | ||
− | + | == Deltoidalikositetraeder == | |
− | + | ||
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Deltoidalicositetrahedron.jpg|x200px|Deltoidalikositetraeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Datei:Kleines Rhombenkuboktaeder.png|x200px|Kleines Rhombenkuboktaeder]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
|} | |} | ||
− | == | + | == Hexakisikosaeder == |
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Disdyakistriacontahedron.jpg|x200px|Hexakisikosaeder]] <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 == | ||
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
− | |style="vertical-align:top" ; width= | + | |style="vertical-align:top" ; width="20%"| |
− | <span style="color:#000000"> [[ | + | <span style="color:#000000"> |
− | |style="vertical-align:top" ; width= | + | <center> |
− | <span style="color:#000000"> | + | <popup name=""> |
+ | [[File:Rhombictriacontahedron.jpg|x200px|Rhombentriakontaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Ikosidodekaeder|x200px]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
+ | |} | ||
+ | == Triakisikosaeder == | ||
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Triakisicosahedron.jpg|x200px|Triakisikosaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Dodekaederstumpf|x200px]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
+ | |} | ||
+ | == Pentakisdodekaeder == | ||
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Pentakisdodecahedron.jpg|x200px|Pentakisdodekaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Datei:Ikosaederstumpf.png|x200px|Ikosaederstumpf]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
|} | |} | ||
− | == | + | == Pentagonikositetraeder == |
− | == | + | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" |
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Pentagonalicositetrahedronccw.jpg|x200px|Pentagonikositetraeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Datei:Abgeschrägtes Hexaeder Variante 1.png|x200px|Abgeschrägtes Hexaeder Variante 1]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
+ | |} | ||
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Pentagonalicositetrahedroncw.jpg|x200px|Pentagonikositetraeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[abgeschrägtes Hexaeder 2|x200px]] | ||
+ | </popup> | ||
+ | </center> | ||
+ | |style="vertical-align:top" ; width="25%"| | ||
+ | <span style="color:#000000"> | ||
+ | |} | ||
+ | == Hexakisoktaeder == | ||
{|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
− | |style="vertical-align:top" ; width= | + | |style="vertical-align:top" ; width="20%"| |
− | <span style="color:#000000"> [[ | + | <span style="color:#000000"> |
− | |style="vertical-align:top" ; width= | + | <center> |
− | <span style="color:#000000"> | + | <popup name=""> |
− | + | [[File:Disdyakisdodecahedron.jpg|x200px|Hexakisoktaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Kuboktaederstumpf|x200px|]] | |
− | + | </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=""> | |
− | + | [[File:Deltoidalhexecontahedron.jpg|x200px|Deltoidalhexakontaeder]] <font size="7"> « </font> <font size="6">=</font> <font size="7"> » </font> [[Rhombenikosidodekaeder|x200px]] | |
− | + | </popup> | |
− | + | </center> | |
− | + | |style="vertical-align:top" ; width="25%"| | |
− | + | <span style="color:#000000"> | |
+ | |} | ||
+ | == Pentagonhexakontaeder == | ||
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Pentagonalhexecontahedronccw.jpg|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"> | ||
+ | |} | ||
+ | {|style="background:#F0E9CA" border="0" cellspacing="0" cellpadding="4" | ||
+ | |style="vertical-align:top" ; width="20%"| | ||
+ | <span style="color:#000000"> | ||
+ | <center> | ||
+ | <popup name=""> | ||
+ | [[File:Pentagonalhexecontahedroncw.jpg|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"> | ||
+ | |} | ||
− | |||
− | |||
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Aktuelle Version vom 12. November 2013, 01:46 Uhr
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AllgemeinesTriakistetraeder
Rhombendodekaeder
Triakisoktaeder
Tetrakishexaeder
Deltoidalikositetraeder
Hexakisikosaeder
Rhombentriakontaeder
Triakisikosaeder
Pentakisdodekaeder
Pentagonikositetraeder
Hexakisoktaeder
Deltoidalhexakontaeder
Pentagonhexakontaeder
|
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