View source for Template:Tessellation

{{Navbox with collapsible groups
| name = Tessellation
| state = autocollapse
| title = [[Tessellation]]
| listclass = hlist
| image= [[File:Marble floor mosaic Basilica of St Mark Vencice.jpg|90px]]<br/><br/>
[[File:2C 3 1979.JPG|90px]]<!--[[File:Lotf Allah Dome.jpg|90px]]-->

| group1 = [[Tiling by regular polygons|Periodic]]
| state1 = uncollapsed
| list1 = 
* [[Pythagorean tiling|Pythagorean]]
* [[Rhombille tiling|Rhombille]]
* [[Schwarz triangle]]
* [[Tiling with rectangles|Rectangle]]
** [[Domino tiling|Domino]]
* [[Uniform tiling]] & [[Uniform honeycomb|honeycomb]]
** [[Uniform coloring|Coloring]]
** [[List of convex uniform tilings|Convex]]
** [[Kisrhombille]]
* [[Physics:Wallpaper group|Wallpaper group]]
* [[Wythoff construction|Wythoff]]

| group2 = [[Aperiodic tiling|Aperiodic]]
| state2 = uncollapsed
| list2 = 
* [[Ammann–Beenker tiling|Ammann–Beenker]]
* [[Aperiodic set of prototiles]]
** [[List of aperiodic sets of tiles|List]]
* [[Einstein problem]]
** [[Socolar–Taylor tile|Socolar–Taylor]]
* [[Gilbert tessellation|Gilbert]]
* [[Penrose tiling|Penrose]]
* [[Pentagonal tiling|Pentagonal]]
* [[Pinwheel tiling|Pinwheel]]
* [[Quaquaversal tiling|Quaquaversal]]
* [[Rep-tile]] & [[Self-tiling tile set|Self-tiling]]
** [[Sphinx tiling|Sphinx]]
* [[Truchet tiles|Truchet]]

| group3 = Other
| state3 = uncollapsed
| list3 = 
* [[Anisohedral tiling|Anisohedral]] & [[Isohedral figure|Isohedral]]
* [[Architectonic and catoptric tessellation|Architectonic & catoptric]]
* ''[[Circle Limit III]]''
* [[Tessellation (computer graphics)|Computer graphics]]
* [[Honeycomb (geometry)|Honeycomb]]
* [[List of isotoxal polyhedra and tilings|Isotoxal]]
* [[List of tessellations|List]]
* [[Packing problems|Packing]]
* Problems
** [[Domino problem|Domino]]
*** [[Wang tile|Wang]]
** [[Heesch's problem|Heesch's]]
** [[Squaring the square|Squaring]]
* [[Prototile]]
** [[Conway criterion]]
** [[Girih tiles|Girih]]
* ''[[Regular Division of the Plane]]''
* [[Regular grid]]
* [[Substitution tiling|Substitution]]
* [[Voronoi diagram|Voronoi]]
* [[Voderberg tiling|Voderberg]]

| group4 = By [[Vertex configuration|vertex type]]
| list4 = {{Navbox|subgroup
  | group1 = [[Spherical polyhedron|Spherical]]
  | list1  =
* [[Hosohedron|2<sup>n</sup>]]
* [[Antiprism|3<sup>3</sup>.n]]
* [[Trapezohedron|V3<sup>3</sup>.n]]
* [[Prism (geometry)|4<sup>2</sup>.n]]
* [[Bipyramid|V4<sup>2</sup>.n]]

  | group2 = Regular
  | list2  =
* [[Apeirogonal hosohedron|2<sup>∞</sup>]]
* [[Triangular tiling|3<sup>6</sup>]]
* [[Square tiling|4<sup>4</sup>]]
* [[Hexagonal tiling|6<sup>3</sup>]]

  | group3 = Semi-<br/>regular
  | list3  =
* [[Snub square tiling|3<sup>2</sup>.4.3.4]]
* [[Cairo pentagonal tiling|V3<sup>2</sup>.4.3.4]]
* [[Elongated triangular tiling|3<sup>3</sup>.4<sup>2</sup>]]
* [[Apeirogonal antiprism|3<sup>3</sup>.∞]]
* [[Snub trihexagonal tiling|3<sup>4</sup>.6]]
* [[Floret pentagonal tiling|V3<sup>4</sup>.6]]
* [[Rhombitrihexagonal tiling|3.4.6.4]]
* [[Trihexagonal tiling|(3.6)<sup>2</sup>]]
* [[Truncated hexagonal tiling|3.12<sup>2</sup>]]
* [[Apeirogonal prism|4<sup>2</sup>.∞]]
* [[Truncated trihexagonal tiling|4.6.12]]
* [[Truncated square tiling|4.8<sup>2</sup>]]

  | group4 = [[Uniform tilings in hyperbolic plane|Hyper-<br/>bolic]]
  | list4  =
* [[Snub tetrapentagonal tiling|3<sup>2</sup>.4.3.5]]
* [[Snub tetrahexagonal tiling|3<sup>2</sup>.4.3.6]]
* [[Snub tetraheptagonal tiling|3<sup>2</sup>.4.3.7]]
* [[Snub tetraoctagonal tiling|3<sup>2</sup>.4.3.8]]
* [[Snub tetraapeirogonal tiling|3<sup>2</sup>.4.3.∞]]
* [[Snub pentapentagonal tiling|3<sup>2</sup>.5.3.5]]
* [[Snub pentahexagonal tiling|3<sup>2</sup>.5.3.6]]
* [[Snub hexahexagonal tiling|3<sup>2</sup>.6.3.6]]
* [[Snub hexaoctagonal tiling|3<sup>2</sup>.6.3.8]]
* [[Snub heptaheptagonal tiling|3<sup>2</sup>.7.3.7]]
* [[Snub octaoctagonal tiling|3<sup>2</sup>.8.3.8]]
* [[Snub order-6 square tiling|3<sup>3</sup>.4.3.4]]
* [[Snub apeiroapeirogonal tiling|3<sup>2</sup>.∞.3.∞]]
* [[Snub triheptagonal tiling|3<sup>4</sup>.7]]
* [[Snub trioctagonal tiling|3<sup>4</sup>.8]]
* [[Snub triapeirogonal tiling|3<sup>4</sup>.∞]]
* [[Snub order-8 triangular tiling|3<sup>5</sup>.4]]
* [[Order-7 triangular tiling|3<sup>7</sup>]]
* [[Order-8 triangular tiling|3<sup>8</sup>]]
* [[Infinite-order triangular tiling|3<sup>∞</sup>]]
* [[Alternated octagonal tiling|(3.4)<sup>3</sup>]]
* [[Alternated order-4 hexagonal tiling|(3.4)<sup>4</sup>]]
* [[Quarter order-6 square tiling|3.4.6<sup>2</sup>.4]]
* [[Rhombitriheptagonal tiling|3.4.7.4]]
* [[Rhombitrioctagonal tiling|3.4.8.4]]
* [[Rhombitriapeirogonal tiling|3.4.∞.4]]
* [[Cantic octagonal tiling|3.6.4.6]]
* [[Triheptagonal tiling|(3.7)<sup>2</sup>]]
* [[Trioctagonal tiling|(3.8)<sup>2</sup>]]
* [[Truncated heptagonal tiling|3.14<sup>2</sup>]]
* [[Truncated octagonal tiling|3.16<sup>2</sup>]]
* [[Triapeirogonal tiling|(3.∞)<sup>2</sup>]]
* [[Truncated order-3 apeirogonal tiling|3.∞<sup>2</sup>]]
* [[Rhombitetrapentagonal tiling|4<sup>2</sup>.5.4]]
* [[Rhombitetrahexagonal tiling|4<sup>2</sup>.6.4]]
* [[Rhombitetraheptagonal tiling|4<sup>2</sup>.7.4]]
* [[Rhombitetraoctagonal tiling|4<sup>2</sup>.8.4]]
* [[Rhombitetraapeirogonal tiling|4<sup>2</sup>.∞.4]]
* [[Order-5 square tiling|4<sup>5</sup>]]
* [[Order-6 square tiling|4<sup>6</sup>]]
* [[Order-7 square tiling|4<sup>7</sup>]]
* [[Order-8 square tiling|4<sup>8</sup>]]
* [[Infinite-order square tiling|4<sup>∞</sup>]]
* [[Tetrapentagonal tiling|(4.5)<sup>2</sup>]]
* [[Tetrahexagonal tiling|(4.6)<sup>2</sup>]]
* [[Truncated trihexagonal tiling|4.6.12]]
* [[Truncated triheptagonal tiling|4.6.14]]
* [[3-7 kisrhombille|V4.6.14]]
* [[Truncated trioctagonal tiling|4.6.16]]
* [[Order 3-8 kisrhombille|V4.6.16]]
* [[Truncated triapeirogonal tiling|4.6.∞]]
* [[Tetraheptagonal tiling|(4.7)<sup>2</sup>]]
* [[Tetraoctagonal tiling|(4.8)<sup>2</sup>]]
* [[Truncated tetrapentagonal tiling|4.8.10]]
* [[4-5 kisrhombille|V4.8.10]]
* [[Truncated tetrahexagonal tiling|4.8.12]]
* [[Truncated tetraheptagonal tiling|4.8.14]]
* [[Truncated tetraoctagonal tiling|4.8.16]]
* [[Truncated tetraapeirogonal tiling|4.8.∞]]
* [[Truncated order-4 pentagonal tiling|4.10<sup>2</sup>]]
* [[Truncated pentahexagonal tiling|4.10.12]]
* [[Truncated order-4 hexagonal tiling|4.12<sup>2</sup>]]
* [[Truncated hexaoctagonal tiling|4.12.16]]
* [[Truncated order-4 heptagonal tiling|4.14<sup>2</sup>]]
* [[Truncated order-4 octagonal tiling|4.16<sup>2</sup>]]
* [[Truncated order-4 apeirogonal tiling|4.∞<sup>2</sup>]]
* [[Tetraapeirogonal tiling|(4.∞)<sup>2</sup>]]
* [[Order-4 pentagonal tiling|5<sup>4</sup>]]
* [[Order-5 pentagonal tiling|5<sup>5</sup>]]
* [[Order-6 pentagonal tiling|5<sup>6</sup>]]
* [[Infinite-order pentagonal tiling|5<sup>∞</sup>]]
* [[Rhombipentahexagonal tiling|5.4.6.4]]
* [[Pentahexagonal tiling|(5.6)<sup>2</sup>]]
* [[Truncated order-5 square tiling|5.8<sup>2</sup>]]
* [[Truncated order-5 pentagonal tiling|5.10<sup>2</sup>]]
* [[Truncated order-5 hexagonal tiling|5.12<sup>2</sup>]]
* [[Pentaapeirogonal tiling|(5.∞)<sup>2</sup>]]
* [[Order-4 hexagonal tiling|6<sup>4</sup>]]
* [[Order-5 hexagonal tiling|6<sup>5</sup>]]
* [[Order-6 hexagonal tiling|6<sup>6</sup>]]
* [[Order-8 hexagonal tiling|6<sup>8</sup>]]
* [[Rhombihexaoctagonal tiling|6.4.8.4]]
* [[Hexaoctagonal tiling|(6.8)<sup>2</sup>]]
* [[Truncated order-6 square tiling|6.8<sup>2</sup>]]
* [[Truncated order-6 pentagonal tiling|6.10<sup>2</sup>]]
* [[Truncated order-6 hexagonal tiling|6.12<sup>2</sup>]]
* [[Truncated order-6 octagonal tiling|6.16<sup>2</sup>]]
* [[Heptagonal tiling|7<sup>3</sup>]]
* [[Order-4 heptagonal tiling|7<sup>4</sup>]]
* [[Order-7 heptagonal tiling|7<sup>7</sup>]]
* [[Truncated order-7 triangular tiling|7.6<sup>2</sup>]]
* [[Truncated order-7 square tiling|7.8<sup>2</sup>]]
* [[Truncated order-7 heptagonal tiling|7.14<sup>2</sup>]]
* [[Octagonal tiling|8<sup>3</sup>]]
* [[Order-4 octagonal tiling|8<sup>4</sup>]]
* [[Order-6 octagonal tiling|8<sup>6</sup>]]
* [[Order-8 octagonal tiling|8<sup>8</sup>]]
* [[Truncated order-8 hexagonal tiling|8<sup>12</sup>]]
* [[Truncated order-8 triangular tiling|8.6<sup>2</sup>]]
* [[Truncated order-8 octagonal tiling|8.16<sup>2</sup>]]
* [[Order-3 apeirogonal tiling|∞<sup>3</sup>]]
* [[Order-4 apeirogonal tiling|∞<sup>4</sup>]]
* [[Order-5 apeirogonal tiling|∞<sup>5</sup>]]
* [[Infinite-order apeirogonal tiling|∞<sup>∞</sup>]]
* [[Truncated infinite-order triangular tiling|∞.6<sup>2</sup>]]
* [[Truncated infinite-order square tiling|∞.8<sup>2</sup>]]
}}

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{{documentation|content=
{{collapsible option}}

==See also==
*{{tl|Fractals}}
*{{tl|Star polyhedron navigator}}
*{{tl|Uniform tiles db}}
*{{tl|Infobox face-uniform tiling}}
*{{tl|CDD}}
{{Polyhedron templates}}
{{Tiling templates}}

[[Category:Mathematics navigational boxes]]

}}
</noinclude>