• Source: Snub order-8 triangular tiling

In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of s{(3,4,3)} and s{3,8}.




Images


Drawn in chiral pairs:




Symmetry


The alternated construction from the truncated order-8 triangular tiling has 2 colors of triangles and achiral symmetry. It has Schläfli symbol of s{3,8}.




Related polyhedra and tiling






References


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)
"Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678.




See also



Square tiling
Uniform tilings in hyperbolic plane
List of regular polytopes




External links


Weisstein, Eric W. "Hyperbolic tiling". MathWorld.
Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld.
Hyperbolic and Spherical Tiling Gallery
KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
Hyperbolic Planar Tessellations, Don Hatch

Kata Kunci Pencarian:

• Daftar bentuk matematika
• Snub order-8 triangular tiling
• Snub square tiling
• Snub trihexagonal tiling
• Elongated triangular tiling
• Triangular tiling honeycomb
• Euclidean tilings by convex regular polygons
• Uniform tilings in hyperbolic plane
• Snub trioctagonal tiling
• Rhombitrihexagonal tiling
• Octahedron