View source for Snub order-8 triangular tiling

In [[Geometry|geometry]], the '''snub tritetratrigonal tiling''' or '''snub order-8 triangular tiling''' is a [[Uniform tilings in hyperbolic plane|uniform]] tiling of the [[Hyperbolic geometry|hyperbolic plane]]. It has [[Schläfli symbol]]s of s{(3,4,3)} and s{3,8}.

== Images ==
Drawn in chiral pairs:
:[[File:H2 snub 334a.png|160px]][[File:H2 snub 334b.png|160px]]

== Symmetry==
The [[Alternation (geometry)|alternated]] construction from the [[Truncated order-8 triangular tiling|truncated order-8 triangular tiling]] has 2 colors of triangles and achiral symmetry. It has [[Schläfli symbol]] of s{3,8}.
:[[File:Uniform_tiling_433-snub1.png|240px]]

== Related polyhedra and tiling ==

{{Octagonal tiling table}}

==References==
* [[Biography:John Horton Conway|John H. Conway]], Heidi Burgiel, Chaim Goodman-Strauss, ''The Symmetries of Things'' 2008, {{isbn|978-1-56881-220-5}} (Chapter 19, The Hyperbolic Archimedean Tessellations)
* {{Cite book|title=The Beauty of Geometry: Twelve Essays|year=1999|publisher=Dover Publications|lccn=99035678|isbn=0-486-40919-8|chapter=Chapter 10: Regular honeycombs in hyperbolic space}}

==See also==
*[[Square tiling]]
*[[Uniform tilings in hyperbolic plane]]
*List of regular polytopes

== External links ==
*{{MathWorld | urlname= HyperbolicTiling | title = Hyperbolic tiling}}
*{{MathWorld | urlname=PoincareHyperbolicDisk | title = Poincaré hyperbolic disk }}
* [http://bork.hampshire.edu/~bernie/hyper/ Hyperbolic and Spherical Tiling Gallery]
* [http://geometrygames.org/KaleidoTile/index.html KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings]
* [http://www.plunk.org/~hatch/HyperbolicTesselations Hyperbolic Planar Tessellations, Don Hatch]

{{Tessellation}}

[[Category:Hyperbolic tilings]]
[[Category:Isogonal tilings]]
[[Category:Snub tilings]]
[[Category:Triangular tilings]]
[[Category:Uniform tilings]]

{{Sourceattribution|Snub order-8 triangular tiling}}