Admin: 1 revision imported from :alpha:Template:Tessellation

2022-12-28T04:04:06Z

1 revision imported from alpha:Template:Tessellation

← Older revision	Revision as of 09:34, 28 December 2022
(No difference)

alpha>Sandeep: Created page with "{{Navbox with collapsible groups | name = Tessellation | state = {{{state|autocollapse}}} | title = Tessellation | listclass = hlist | image= ..."

2022-12-26T10:06:56Z

Created page with "{{Navbox with collapsible groups | name = Tessellation | state = {{{state<includeonly>|autocollapse</includeonly>}}} | title = Tessellation | listclass = hlist | image= ..."

New page

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

| group1 = [[Euclidean tilings by convex regular polygons|Periodic]]
| state1 = uncollapsed
| list1 =
* [[Pythagorean tiling|Pythagorean]]
* [[Rhombille tiling|Rhombille]]
* [[Schwarz triangle]]
* [[Tiling with rectangles|Rectangle]]
** [[Domino tiling|Domino]]
* [[Uniform tiling]] and [[uniform honeycomb|honeycomb]]
** [[Uniform coloring|Coloring]]
** [[List of Euclidean uniform tilings|Convex]]
** [[Kisrhombille]]
* [[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]] and [[Self-tiling tile set|Self-tiling]]
** [[Sphinx tiling|Sphinx]]
* [[Socolar tiling|Socolar]]
* [[Truchet tiles|Truchet]]

| group3 = Other
| state3 = uncollapsed
| list3 =
* [[Anisohedral tiling|Anisohedral]] and [[Isohedral figure|Isohedral]]
* [[Architectonic and catoptric tessellation|Architectonic and 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|2n]]
* [[Antiprism|33.n]]
* [[Trapezohedron|V33.n]]
* [[Prism (geometry)|42.n]]
* [[Bipyramid|V42.n]]

| group2 = Regular
| list2 =
* [[Apeirogonal hosohedron|2∞]]
* [[Triangular tiling|36]]
* [[Square tiling|44]]
* [[Hexagonal tiling|63]]

| group3 = Semi- regular
| list3 =
* [[Snub square tiling|32.4.3.4]]
* [[Cairo pentagonal tiling|V32.4.3.4]]
* [[Elongated triangular tiling|33.42]]
* [[Apeirogonal antiprism|33.∞]]
* [[Snub trihexagonal tiling|34.6]]
* [[Floret pentagonal tiling|V34.6]]
* [[Rhombitrihexagonal tiling|3.4.6.4]]
* [[Trihexagonal tiling|(3.6)2]]
* [[Truncated hexagonal tiling|3.122]]
* [[Apeirogonal prism|42.∞]]
* [[Truncated trihexagonal tiling|4.6.12]]
* [[Truncated square tiling|4.82]]

| group4 = [[Uniform tilings in hyperbolic plane|Hyper- bolic]]
| list4 =
* [[Snub tetrapentagonal tiling|32.4.3.5]]
* [[Snub tetrahexagonal tiling|32.4.3.6]]
* [[Snub tetraheptagonal tiling|32.4.3.7]]
* [[Snub tetraoctagonal tiling|32.4.3.8]]
* [[Snub tetraapeirogonal tiling|32.4.3.∞]]
* [[Snub pentapentagonal tiling|32.5.3.5]]
* [[Snub pentahexagonal tiling|32.5.3.6]]
* [[Snub hexahexagonal tiling|32.6.3.6]]
* [[Snub hexaoctagonal tiling|32.6.3.8]]
* [[Snub heptaheptagonal tiling|32.7.3.7]]
* [[Snub octaoctagonal tiling|32.8.3.8]]
* [[Snub order-6 square tiling|33.4.3.4]]
* [[Snub apeiroapeirogonal tiling|32.∞.3.∞]]
* [[Snub triheptagonal tiling|34.7]]
* [[Snub trioctagonal tiling|34.8]]
* [[Snub triapeirogonal tiling|34.∞]]
* [[Snub order-8 triangular tiling|35.4]]
* [[Order-7 triangular tiling|37]]
* [[Order-8 triangular tiling|38]]
* [[Infinite-order triangular tiling|3∞]]
* [[Alternated octagonal tiling|(3.4)3]]
* [[Alternated order-4 hexagonal tiling|(3.4)4]]
* [[Quarter order-6 square tiling|3.4.62.4]]
* [[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)2]]
* [[Trioctagonal tiling|(3.8)2]]
* [[Truncated heptagonal tiling|3.142]]
* [[Truncated octagonal tiling|3.162]]
* [[Triapeirogonal tiling|(3.∞)2]]
* [[Truncated order-3 apeirogonal tiling|3.∞2]]
* [[Rhombitetrapentagonal tiling|42.5.4]]
* [[Rhombitetrahexagonal tiling|42.6.4]]
* [[Rhombitetraheptagonal tiling|42.7.4]]
* [[Rhombitetraoctagonal tiling|42.8.4]]
* [[Rhombitetraapeirogonal tiling|42.∞.4]]
* [[Order-5 square tiling|45]]
* [[Order-6 square tiling|46]]
* [[Order-7 square tiling|47]]
* [[Order-8 square tiling|48]]
* [[Infinite-order square tiling|4∞]]
* [[Tetrapentagonal tiling|(4.5)2]]
* [[Tetrahexagonal tiling|(4.6)2]]
* [[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)2]]
* [[Tetraoctagonal tiling|(4.8)2]]
* [[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|4.102]]
* [[Truncated pentahexagonal tiling|4.10.12]]
* [[Truncated order-4 hexagonal tiling|4.122]]
* [[Truncated hexaoctagonal tiling|4.12.16]]
* [[Truncated order-4 heptagonal tiling|4.142]]
* [[Truncated order-4 octagonal tiling|4.162]]
* [[Truncated order-4 apeirogonal tiling|4.∞2]]
* [[Tetraapeirogonal tiling|(4.∞)2]]
* [[Order-4 pentagonal tiling|54]]
* [[Order-5 pentagonal tiling|55]]
* [[Order-6 pentagonal tiling|56]]
* [[Infinite-order pentagonal tiling|5∞]]
* [[Rhombipentahexagonal tiling|5.4.6.4]]
* [[Pentahexagonal tiling|(5.6)2]]
* [[Truncated order-5 square tiling|5.82]]
* [[Truncated order-5 pentagonal tiling|5.102]]
* [[Truncated order-5 hexagonal tiling|5.122]]
* [[Pentaapeirogonal tiling|(5.∞)2]]
* [[Order-4 hexagonal tiling|64]]
* [[Order-5 hexagonal tiling|65]]
* [[Order-6 hexagonal tiling|66]]
* [[Order-8 hexagonal tiling|68]]
* [[Rhombihexaoctagonal tiling|6.4.8.4]]
* [[Hexaoctagonal tiling|(6.8)2]]
* [[Truncated order-6 square tiling|6.82]]
* [[Truncated order-6 pentagonal tiling|6.102]]
* [[Truncated order-6 hexagonal tiling|6.122]]
* [[Truncated order-6 octagonal tiling|6.162]]
* [[Heptagonal tiling|73]]
* [[Order-4 heptagonal tiling|74]]
* [[Order-7 heptagonal tiling|77]]
* [[Truncated order-7 triangular tiling|7.62]]
* [[Truncated order-7 square tiling|7.82]]
* [[Truncated order-7 heptagonal tiling|7.142]]
* [[Octagonal tiling|83]]
* [[Order-4 octagonal tiling|84]]
* [[Order-6 octagonal tiling|86]]
* [[Order-8 octagonal tiling|88]]
* [[Truncated order-8 triangular tiling|8.62]]
* [[Truncated order-8 hexagonal tiling|8.122]]
* [[Truncated order-8 octagonal tiling|8.162]]
* [[Order-3 apeirogonal tiling|∞3]]
* [[Order-4 apeirogonal tiling|∞4]]
* [[Order-5 apeirogonal tiling|∞5]]
* [[Infinite-order apeirogonal tiling|∞∞]]
* [[Truncated infinite-order triangular tiling|∞.62]]
* [[Truncated infinite-order square tiling|∞.82]]
}}


}}<noinclude>
{{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>

Template:Tessellation - Revision history

Admin: 1 revision imported from :alpha:Template:Tessellation

alpha>Sandeep: Created page with "{{Navbox with collapsible groups | name = Tessellation | state = {{{state|autocollapse}}} | title = Tessellation | listclass = hlist | image= ..."