In geometry, the tritetratrigonal tiling or shieldotritetragonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1,2(4,3,3). It can also be named as a cantic octagonal tiling, h2{8,3}.
Dual tiling
Related polyhedra and tiling
+ *n33 orbifold symmetries of cantic tilings: 3.6.n.6 Symmetry*n32[1+,2n,3]= [(n,3,3)] Spherical EuclideanCompact Hyperbolic Paracompact*233[1+,4,3]= [3,3]*333[1+,6,3]= [(3,3,3)]*433[1+,8,3]= [(4,3,3)]*533[1+,10,3]= [(5,3,3)]*633...[1+,12,3]= [(6,3,3)]*∞33[1+,∞,3]= [(∞,3,3)]CoxeterSchläfli = h2{4,3} = h2{6,3} = h2{8,3} = h2{10,3} = h2{12,3} = h2{∞,3}CanticfigureVertex3.6.2.63.6.3.63.6.4.63.6.5.63.6.6.63.6.∞.6DomainWythoff2 3 33 3 34 3 35 3 36 3 3 ∞ 3 3DualfigureFaceV3.6.2.6V3.6.3.6V3.6.4.6V3.6.5.6V3.6.6.6V3.6.∞.6
See also
Square tiling Uniform tilings in hyperbolic plane List of regular polytopes
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)
External links
Hyperbolic and Spherical Tiling Gallery KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings Hyperbolic Planar Tessellations, Don Hatch