Difference between revisions of "Template:Hexagonal tiling table"
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imported>CheChe m (updated image to svg format) |
imported>Hyacinth ({{navbar|Hexagonal tiling table|brackets=y|mini=y|style=float:right;}}) |
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</noinclude> | </noinclude> | ||
{| class="wikitable collapsible collapsed" | {| class="wikitable collapsible collapsed" | ||
| − | !colspan=12| [[:Template:Hexagonal tiling table|Uniform hexagonal/triangular tilings]] | + | !colspan=12| [[:Template:Hexagonal tiling table|Uniform hexagonal/triangular tilings]] {{navbar|Hexagonal tiling table|brackets=y|mini=y|style=float:right;}} |
|- style="vertical-align:top;" | |- style="vertical-align:top;" | ||
!colspan=7|[[List_of_planar_symmetry_groups#Wallpaper_groups|Symmetry]]: [[Template:632 symmetry table|[6,3], (*632)]] | !colspan=7|[[List_of_planar_symmetry_groups#Wallpaper_groups|Symmetry]]: [[Template:632 symmetry table|[6,3], (*632)]] | ||
| Line 38: | Line 38: | ||
|[[File:Uniform tiling 63-t2.svg|60px]] | |[[File:Uniform tiling 63-t2.svg|60px]] | ||
|[[File:Uniform tiling 63-t02.png|60px]] | |[[File:Uniform tiling 63-t02.png|60px]] | ||
| − | |[[File:Uniform tiling 63-t012. | + | |[[File:Uniform tiling 63-t012.svg|60px]] |
|[[File:Uniform tiling 63-snub.png|60px]] | |[[File:Uniform tiling 63-snub.png|60px]] | ||
|[[File:Uniform_tiling_63-h12.png|60px]] | |[[File:Uniform_tiling_63-h12.png|60px]] | ||
| Line 47: | Line 47: | ||
|[[Hexagonal tiling|6.6.6]] | |[[Hexagonal tiling|6.6.6]] | ||
|[[Triangular tiling|3<sup>6</sup>]] | |[[Triangular tiling|3<sup>6</sup>]] | ||
| − | |[[rhombitrihexagonal tiling|3.4. | + | |[[rhombitrihexagonal tiling|3.4.6.4]] |
|[[Truncated trihexagonal tiling|4.6.12]] | |[[Truncated trihexagonal tiling|4.6.12]] | ||
|[[Snub trihexagonal tiling|3.3.3.3.6]] | |[[Snub trihexagonal tiling|3.3.3.3.6]] | ||
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|[[Triangular tiling|V6<sup>3</sup>]] | |[[Triangular tiling|V6<sup>3</sup>]] | ||
|[[Hexagonal tiling|V3<sup>6</sup>]] | |[[Hexagonal tiling|V3<sup>6</sup>]] | ||
| − | |[[Deltoidal trihexagonal tiling|V3.4. | + | |[[Deltoidal trihexagonal tiling|V3.4.6.4]] |
|[[Kisrhombille tiling|V.4.6.12]] | |[[Kisrhombille tiling|V.4.6.12]] | ||
|[[Floret_pentagonal_tiling|V3<sup>4</sup>.6]] | |[[Floret_pentagonal_tiling|V3<sup>4</sup>.6]] | ||
| Line 76: | Line 76: | ||
|}<noinclude> | |}<noinclude> | ||
| − | The hexagonal/triangular tilings also exist as uniform [[ | + | The hexagonal/triangular tilings also exist as uniform [[Wythoff construction]]s in a half symmetry form, in the p3m1, [3<sup>[3]</sup>], (*333) symmetry group: |
{{Hexagonal tiling table2}} | {{Hexagonal tiling table2}} | ||
Latest revision as of 06:54, 22 December 2018
There are eight uniform tilings that can be based from the regular hexagonal tiling (or the dual triangular tiling). Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 8 forms, 7 which are topologically distinct. The truncated triangular tiling is topologically identical to the hexagonal tiling.
The hexagonal/triangular tilings also exist as uniform Wythoff constructions in a half symmetry form, in the p3m1, [3[3]], (*333) symmetry group:
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