Difference between revisions of "Template:A2 honeycombs"
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blackwiki>Tomruen |
blackwiki>Cedar101 m (merge <maths>, {{CNone}}) |
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{| class=wikitable | {| class=wikitable | ||
| − | ![[Wallpaper group|Wallpaper<BR>group]] | + | ! [[Wallpaper group|Wallpaper<BR>group]] |
| − | ![[:File:Symmetries_of_triangle.png|Triangle<BR>symmetry]] | + | ! [[:File:Symmetries_of_triangle.png|Triangle<BR>symmetry]] |
| − | ![[Coxeter_notation#Extended_symmetry|Extended<BR>symmetry]] | + | ! [[Coxeter_notation#Extended_symmetry|Extended<BR>symmetry]] |
| − | !Extended<BR>diagram | + | ! Extended<BR>diagram |
| − | !Extended<BR>group | + | ! Extended<BR>group |
| − | !Honeycombs | + | ! Honeycombs |
|- style="text-align:center;" | |- style="text-align:center;" | ||
| − | + | | p3m1 (*333) | |
| − | + | | a1 [[File:Triangle_symmetry1.png|40px]] | |
| − | + | | [3<sup>[3]</sup>] | |
| − | + | | {{CDD|node|split1|branch}} | |
| − | |<math>{\tilde{A}}_2</math> | + | | <math>{\tilde{A}}_2</math> |
| − | | (none) | + | | {{CNone|(none)}} |
|- style="text-align:center;" | |- style="text-align:center;" | ||
| − | + | | p6m (*632) | |
| − | + | | i2 [[File:Triangle_symmetry3.png|40px]] | |
| − | + | | {{Brackets|3<sup>[3]</sup>}} ↔ [6,3] | |
| − | + | | {{CDD|node_c1|split1|branch_c2}} ↔ {{CDD|node_c1|3|node_c2|6|node}} | |
| − | | <math>{\tilde{A}}_2 | + | | <math>{\tilde{A}}_2 \times 2 \leftrightarrow {\tilde{G}}_2</math> |
| − | |{{CDD|node_1|split1|branch}} <sub>[[Triangular tiling|1]]</sub>, {{CDD|node|split1|branch_11}} <sub>[[Trihexagonal tiling|2]]</sub> | + | | {{CDD|node_1|split1|branch}} <sub>[[Triangular tiling|1]]</sub>, {{CDD|node|split1|branch_11}} <sub>[[Trihexagonal tiling|2]]</sub> |
| − | |||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| − | + | | p31m (3*3) | |
| − | + | | g3 [[File:Triangle_symmetry2.png|40px]] | |
| − | + | | [3<sup>+</sup>[3<sup>[3]</sup>]] ↔ [6,3<sup>+</sup>] | |
| − | + | | | |
| − | |<math>{\tilde{A}}_2 | + | | <math>{\tilde{A}}_2 \times 3 \leftrightarrow \tfrac 1 2 {\tilde{G}}_2</math> |
| − | |(none) | + | | {{CNone|(none)}} |
| − | |||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| − | + | | p6 (632) | |
| − | + | |rowspan=2| r6 [[File:Triangle_symmetry4.png|40px]] | |
| − | + | | [3[3<sup>[3]</sup>]]<sup>+</sup> ↔ [6,3]<sup>+</sup> | |
| − | + | |rowspan=2| {{CDD|node_c1|split1|branch_c1}} ↔ {{CDD|node_c1|6|node|3|node}} | |
| − | | | + | | <math>\tfrac 1 2 {\tilde{A}}_2 \times 6 \leftrightarrow \tfrac 1 2 {\tilde{G}}_2</math> |
| − | |{{CDD|node_h|split1|branch_hh}} <sub>[[Triangular tiling|(1)]]</sub> | + | | {{CDD|node_h|split1|branch_hh}} <sub>[[Triangular tiling|(1)]]</sub> |
| − | |||
|- style="text-align:center;" | |- style="text-align:center;" | ||
| − | + | | p6m (*632) | |
| − | + | | [3[3<sup>[3]</sup>]] ↔ [6,3] | |
| − | | <math>{\tilde{A}}_2 | + | | <math>{\tilde{A}}_2 \times 6 \leftrightarrow {\tilde{G}}_2</math> |
| − | |{{CDD|node_1|split1|branch_11}} <sub>[[Hexagonal tiling|3]]</sub> | + | | {{CDD|node_1|split1|branch_11}} <sub>[[Hexagonal tiling|3]]</sub> |
| − | |||
|}<noinclude> | |}<noinclude> | ||
[[Category:Encyclopedic content templates]] | [[Category:Encyclopedic content templates]] | ||
[[Category:Euclidean_tilings]] | [[Category:Euclidean_tilings]] | ||
</noinclude> | </noinclude> | ||