Order-8 triangular tiling: Difference between revisions

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{{Uniform hyperbolic tiles db|Reg hyperbolic tiling stat table|U83_2}}
In [[geometry]], the '''order-8 triangular tiling''' is a [[regular hyperbolic tiling|regular tiling]] of the [[Hyperbolic geometry|hyperbolic plane]]. It is represented by [[Schläfli symbol]] of ''{3,8}'', having eight regular [[triangle]]s around each vertex.
 
== Uniform colorings ==
The half symmetry [1<sup>+</sup>,8,3] = [(4,3,3)] can be shown with alternating two colors of triangles:
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{{Triangular regular tiling}}
 
From a [[Wythoff construction]] there are ten hyperbolic [[Uniform tilings in hyperbolic plane|uniform tilings]] that can be based from the regular octagonal and order-8 triangular tilings.
 
Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 10 forms.