Difference between revisions of "Template:B3 honeycombs"

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imported>Tomruen
imported>Tomruen
Line 1: Line 1:
 
{| class=wikitable
 
{| class=wikitable
−
![[Space group]]
+
![[Space group|Space<BR>group]]
 +
![[Fibrifold]]
 
![[Coxeter notation#Extended_symmetry|Extended<BR>symmetry]]
 
![[Coxeter notation#Extended_symmetry|Extended<BR>symmetry]]
 
!Extended<BR>diagram
 
!Extended<BR>diagram
Line 6: Line 7:
 
!Honeycombs
 
!Honeycombs
 
|- align=center
 
|- align=center
−
!Fm{{overline|3}}m (225)
+
!Fm{{overline|3}}m<BR>(225)
−
![4,3<sup>1,1</sup>] = [4,3,4,1<sup>+</sup>]
+
!2<sup>−</sup>:2
−
!{{CDD|node_c1|4|node_c2|split1|nodes_10lu}} = {{CDD|node_c1|4|node_c2|3|node|4|node_h1}}
+
![4,3<sup>1,1</sup>]<BR>= [4,3,4,1<sup>+</sup>]
 +
!{{CDD|node_c1|4|node_c2|split1|nodes_10lu}}<BR>= {{CDD|node_c1|4|node_c2|3|node|4|node_h1}}
 
!×1
 
!×1
 
|{{CDD|node|4|node|split1|nodes_10lu}} [[Alternated cubic honeycomb|<sub>1</sub>]], {{CDD|node_1|4|node|split1|nodes_10lu}}  [[Runcic cubic honeycomb|<sub>2</sub>]], {{CDD|node|4|node_1|split1|nodes_10lu}} [[Cantic cubic honeycomb|<sub>3</sub>]], {{CDD|node_1|4|node_1|split1|nodes_10lu}} [[Runcicantic cubic honeycomb|<sub>4</sub>]]
 
|{{CDD|node|4|node|split1|nodes_10lu}} [[Alternated cubic honeycomb|<sub>1</sub>]], {{CDD|node_1|4|node|split1|nodes_10lu}}  [[Runcic cubic honeycomb|<sub>2</sub>]], {{CDD|node|4|node_1|split1|nodes_10lu}} [[Cantic cubic honeycomb|<sub>3</sub>]], {{CDD|node_1|4|node_1|split1|nodes_10lu}} [[Runcicantic cubic honeycomb|<sub>4</sub>]]
 
|- align=center
 
|- align=center
−
!Fm{{overline|3}}m (225)
+
!Fm{{overline|3}}m<BR>(225)
−
!<[1<sup>+</sup>,4,3<sup>1,1</sup>]> = <[3<sup>[4]</sup>]>
+
!2<sup>−</sup>:2
−
!{{CDD|node_h1|4|node|split1|nodeab_c1}} = {{CDD|node_1|split1|nodeab_c1|split2|node}}
+
!<[1<sup>+</sup>,4,3<sup>1,1</sup>]><BR>= <[3<sup>[4]</sup>]>
 +
!{{CDD|node_h1|4|node|split1|nodeab_c1}}<BR>= {{CDD|node_1|split1|nodeab_c1|split2|node}}
 
!×2
 
!×2
 
|{{CDD|node_h1|4|node|split1|nodes}} [[Alternated cubic honeycomb|<sub>(1)</sub>]], {{CDD|node_h1|4|node|split1|nodes_11}} [[Cantic cubic honeycomb|<sub>(3)</sub>]]
 
|{{CDD|node_h1|4|node|split1|nodes}} [[Alternated cubic honeycomb|<sub>(1)</sub>]], {{CDD|node_h1|4|node|split1|nodes_11}} [[Cantic cubic honeycomb|<sub>(3)</sub>]]
  
 
|- align=center
 
|- align=center
−
!Pm{{overline|3}}m (221)
+
!Pm{{overline|3}}m<BR>(221)
 +
!4<sup>−</sup>:2
 
!<[4,3<sup>1,1</sup>]>
 
!<[4,3<sup>1,1</sup>]>
 
!{{CDD|node_c3|4|node_c2|split1|nodeab_c1}}
 
!{{CDD|node_c3|4|node_c2|split1|nodeab_c1}}

Revision as of 20:09, 7 December 2013

Space
group
Fibrifold Extended
symmetry
Extended
diagram
Order Honeycombs
FmTemplate:Overlinem
(225)
2−:2 [4,31,1]
= [4,3,4,1+]
CDel node c1.pngCDel 4.pngCDel node c2.pngFile:CDel split1.pngFile:CDel nodes 10lu.png
= File:CDel node c1.pngFile:CDel 4.pngFile:CDel node c2.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node h1.png
×1 File:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes 10lu.png 1, File:CDel node 1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes 10lu.png 2, File:CDel node.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel split1.pngFile:CDel nodes 10lu.png 3, File:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel split1.pngFile:CDel nodes 10lu.png 4
FmTemplate:Overlinem
(225)
2−:2 <[1+,4,31,1]>
= <[3[4]]>
File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodeab c1.png
= File:CDel node 1.pngFile:CDel split1.pngFile:CDel nodeab c1.pngFile:CDel split2.pngFile:CDel node.png
×2 File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes.png (1), File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes 11.png (3)
PmTemplate:Overlinem
(221)
4−:2 <[4,31,1]> File:CDel node c3.pngFile:CDel 4.pngFile:CDel node c2.pngFile:CDel split1.pngFile:CDel nodeab c1.png ×2

File:CDel node 1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes.png 5, File:CDel node.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel split1.pngFile:CDel nodes.png 6, File:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel split1.pngFile:CDel nodes.png 7, File:CDel node.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes 11.png (6), File:CDel node 1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel split1.pngFile:CDel nodes 11.png 9, File:CDel node.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel split1.pngFile:CDel nodes 11.png 10, File:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel split1.pngFile:CDel nodes 11.png 11

References