Difference between revisions of "Template:C3 honeycombs"

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imported>Tomruen
imported>Tomruen
Line 1: Line 1:
 
{| class=wikitable
 
{| class=wikitable
 
![[Space group|Space<BR>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 7: Line 8:
 
|- align=center
 
|- align=center
 
!Pm{{overline|3}}m<BR>(221)
 
!Pm{{overline|3}}m<BR>(221)
 +
!4<sup>−</sup>:2
 
![4,3,4]
 
![4,3,4]
 
!{{CDD|node_c1|4|node_c2|3|node_c3|4|node_c4}}
 
!{{CDD|node_c1|4|node_c2|3|node_c3|4|node_c4}}
Line 13: Line 15:
 
|- align=center
 
|- align=center
 
!Fm{{overline|3}}m<BR>(225)
 
!Fm{{overline|3}}m<BR>(225)
−
![1<sup>+</sup>,4,3,4] = [4,3<sup>1,1</sup>]
+
!2<sup>−</sup>:2
−
!{{CDD|node_h1|4|node|3|node_c1|4|node_c2}} = {{CDD|nodes_10ru|split2|node_c1|4|node_c2}}
+
![1<sup>+</sup>,4,3,4]<BR>= [4,3<sup>1,1</sup>]
 +
!{{CDD|node_h1|4|node|3|node_c1|4|node_c2}}<BR>= {{CDD|nodes_10ru|split2|node_c1|4|node_c2}}
 
!Half
 
!Half
 
|{{CDD|node_h1|4|node|3|node|4|node}} [[Half cubic honeycomb|<sub>7</sub>]], {{CDD|node_h1|4|node|3|node_1|4|node}} [[Cantic cubic honeycomb|<sub>11</sub>]], {{CDD|node_h1|4|node|3|node|4|node_1}} [[Runcic cubic honeycomb|<sub>12</sub>]], {{CDD|node_h1|4|node|3|node_1|4|node_1}} [[Runcicantic cubic honeycomb|<sub>13</sub>]]
 
|{{CDD|node_h1|4|node|3|node|4|node}} [[Half cubic honeycomb|<sub>7</sub>]], {{CDD|node_h1|4|node|3|node_1|4|node}} [[Cantic cubic honeycomb|<sub>11</sub>]], {{CDD|node_h1|4|node|3|node|4|node_1}} [[Runcic cubic honeycomb|<sub>12</sub>]], {{CDD|node_h1|4|node|3|node_1|4|node_1}} [[Runcicantic cubic honeycomb|<sub>13</sub>]]
Line 20: Line 23:
 
|- align=center
 
|- align=center
 
!I{{overline|4}}3m<BR>(217)
 
!I{{overline|4}}3m<BR>(217)
 +
!4<sup>o</sup>:2
 
!<nowiki>[[</nowiki>(4,3,4,2<sup>+</sup>)]]
 
!<nowiki>[[</nowiki>(4,3,4,2<sup>+</sup>)]]
 
!{{CDD|branch|4a4b|nodes_hh}}
 
!{{CDD|branch|4a4b|nodes_hh}}
Line 27: Line 31:
 
|- align=center
 
|- align=center
 
!Fd{{overline|3}}m<BR>(227)
 
!Fd{{overline|3}}m<BR>(227)
−
!<nowiki>[[</nowiki>1<sup>+</sup>,4,3,4,1<sup>+</sup>]] = <nowiki>[[</nowiki>3<sup>[4]</sup>]]
+
!2<sup>+</sup>:2
−
!{{CDD|branch|4a4b|nodes_h1h1}} = {{CDD|branch_11|3ab|branch}}
+
!<nowiki>[[</nowiki>1<sup>+</sup>,4,3,4,1<sup>+</sup>]]<BR>= <nowiki>[[</nowiki>3<sup>[4]</sup>]]
 +
!{{CDD|branch|4a4b|nodes_h1h1}}<BR>= {{CDD|branch_11|3ab|branch}}
 
!Quarter × 2
 
!Quarter × 2
 
|{{CDD|branch|4a4b|nodes_h1h1}} [[Quarter cubic honeycomb|<sub>10</sub>]],
 
|{{CDD|branch|4a4b|nodes_h1h1}} [[Quarter cubic honeycomb|<sub>10</sub>]],
 
|- align=center
 
|- align=center
 
!Im{{overline|3}}m<BR>(229)
 
!Im{{overline|3}}m<BR>(229)
 +
!8<sup>o</sup>:2
 
!<nowiki>[[</nowiki>4,3,4]]
 
!<nowiki>[[</nowiki>4,3,4]]
 
!{{CDD|branch_c2|4a4b|nodeab_c1}}
 
!{{CDD|branch_c2|4a4b|nodeab_c1}}

Revision as of 20:05, 7 December 2013

Space
group
Fibrifold Extended
symmetry
Extended
diagram
Order Honeycombs
PmTemplate:Overlinem
(221)
4−:2 [4,3,4] File:CDel node c1.pngFile:CDel 4.pngFile:CDel node c2.pngFile:CDel 3.pngFile:CDel node c3.pngFile:CDel 4.pngFile:CDel node c4.png ×1 File:CDel node 1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png 1, File:CDel node.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png 2, File:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png 3, File:CDel node 1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node.png 4,
File:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node.png 5, File:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node 1.png 6
FmTemplate:Overlinem
(225)
2−:2 [1+,4,3,4]
= [4,31,1]
File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node c1.pngFile:CDel 4.pngFile:CDel node c2.png
= File:CDel nodes 10ru.pngFile:CDel split2.pngFile:CDel node c1.pngFile:CDel 4.pngFile:CDel node c2.png
Half File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png 7, File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node.png 11, File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node 1.png 12, File:CDel node h1.pngFile:CDel 4.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.png 13
ITemplate:Overline3m
(217)
4o:2 [[(4,3,4,2+)]] File:CDel branch.pngFile:CDel 4a4b.pngFile:CDel nodes hh.png Half × 2 File:CDel branch.pngFile:CDel 4a4b.pngFile:CDel nodes hh.png (7),
FdTemplate:Overlinem
(227)
2+:2 [[1+,4,3,4,1+]]
= [[3[4]]]
File:CDel branch.pngFile:CDel 4a4b.pngFile:CDel nodes h1h1.png
= File:CDel branch 11.pngFile:CDel 3ab.pngFile:CDel branch.png
Quarter × 2 File:CDel branch.pngFile:CDel 4a4b.pngFile:CDel nodes h1h1.png 10,
ImTemplate:Overlinem
(229)
8o:2 [[4,3,4]] File:CDel branch c2.pngFile:CDel 4a4b.pngFile:CDel nodeab c1.png ×2

File:CDel branch.pngFile:CDel 4a4b.pngFile:CDel nodes 11.png (1), File:CDel branch 11.pngFile:CDel 4a4b.pngFile:CDel nodes.png 8, File:CDel branch 11.pngFile:CDel 4a4b.pngFile:CDel nodes 11.png 9

References