Template:Order 8-4 tiling table

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Uniform octagonal/square tilings
[8,4], (*842)
(with [8,8] (*882), [(4,4,4)] (*444) , [∞,4,∞] (*4222) index 2 subsymmetries)
(And [(∞,4,∞,4)] (*4242) index 4 subsymmetry)
File:CDel node 1.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png
= File:CDel node 1.pngFile:CDel split1-88.pngFile:CDel nodes.png
File:CDel 2.png
= File:CDel label4.pngFile:CDel branch 11.pngFile:CDel 2a2b-cross.pngFile:CDel nodes.png
= File:CDel label4.pngFile:CDel branch 11.pngFile:CDel 4a4b-cross.pngFile:CDel branch 11.pngFile:CDel label4.png
File:CDel node 1.pngFile:CDel 8.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node.png
= File:CDel node 1.pngFile:CDel split1-88.pngFile:CDel nodes 11.png
File:CDel node.pngFile:CDel 8.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node.png
= File:CDel node.pngFile:CDel split1-88.pngFile:CDel nodes 11.png
= File:CDel label4.pngFile:CDel branch 11.pngFile:CDel split2-44.pngFile:CDel node.png
File:CDel 2.png
= File:CDel label4.pngFile:CDel branch 11.pngFile:CDel 2a2b-cross.pngFile:CDel branch 11.pngFile:CDel label4.png
File:CDel node.pngFile:CDel 8.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.png
File:CDel 2.png
= File:CDel label4.pngFile:CDel branch 11.pngFile:CDel split2-44.pngFile:CDel node 1.png
File:CDel node.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node 1.png
File:CDel 2.png
= File:CDel label4.pngFile:CDel branch.pngFile:CDel split2-44.pngFile:CDel node 1.png
= File:CDel label4.pngFile:CDel branch.pngFile:CDel 2a2b-cross.pngFile:CDel nodes 11.png
File:CDel node 1.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node 1.png
File:CDel 2.png
File:CDel 2.png
= File:CDel label4.pngFile:CDel branch 11.pngFile:CDel 2a2b-cross.pngFile:CDel nodes 11.png
File:CDel node 1.pngFile:CDel 8.pngFile:CDel node 1.pngFile:CDel 4.pngFile:CDel node 1.png
File:H2 tiling 248-1.png File:H2 tiling 248-3.png File:H2 tiling 248-2.png File:H2 tiling 248-6.png File:H2 tiling 248-4.png File:H2 tiling 248-5.png File:H2 tiling 248-7.png
{8,4} t{8,4}
r{8,4} 2t{8,4}=t{4,8} 2r{8,4}={4,8} rr{8,4} tr{8,4}
Uniform duals
File:CDel node f1.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png File:CDel node f1.pngFile:CDel 8.pngFile:CDel node f1.pngFile:CDel 4.pngFile:CDel node.png File:CDel node.pngFile:CDel 8.pngFile:CDel node f1.pngFile:CDel 4.pngFile:CDel node.png File:CDel node.pngFile:CDel 8.pngFile:CDel node f1.pngFile:CDel 4.pngFile:CDel node f1.png File:CDel node.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node f1.png File:CDel node f1.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node f1.png File:CDel node f1.pngFile:CDel 8.pngFile:CDel node f1.pngFile:CDel 4.pngFile:CDel node f1.png
File:H2chess 248b.png File:H2chess 248f.png File:H2chess 248a.png File:H2chess 248e.png File:H2chess 248c.png File:H2chess 248d.png File:H2checkers 248.png
V84 V4.16.16 V(4.8)2 V8.8.8 V48 V4.4.4.8 V4.8.16
Alternations
[1+,8,4]
(*444)
[8+,4]
(8*2)
[8,1+,4]
(*4222)
[8,4+]
(4*4)
[8,4,1+]
(*882)
[(8,4,2+)]
(2*42)
[8,4]+
(842)
File:CDel node h1.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png
= File:CDel label4.pngFile:CDel branch 10ru.pngFile:CDel split2-44.pngFile:CDel node.png
File:CDel node h.pngFile:CDel 8.pngFile:CDel node h.pngFile:CDel 4.pngFile:CDel node.png
= File:CDel node h.pngFile:CDel split1-88.pngFile:CDel nodes hh.png
File:CDel node.pngFile:CDel 8.pngFile:CDel node h1.pngFile:CDel 4.pngFile:CDel node.png
= File:CDel label4.pngFile:CDel branch 10.pngFile:CDel 2a2b-cross.pngFile:CDel nodes 10.png
File:CDel node.pngFile:CDel 8.pngFile:CDel node h.pngFile:CDel 4.pngFile:CDel node h.png
= File:CDel label4.pngFile:CDel branch hh.pngFile:CDel split2-44.pngFile:CDel node h.png
File:CDel node.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node h1.png
= File:CDel node.pngFile:CDel split1-88.pngFile:CDel nodes 10lu.png
File:CDel node h.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node h.png
= File:CDel label4.pngFile:CDel branch hh.pngFile:CDel 2a2b-cross.pngFile:CDel nodes hh.png
File:CDel node h.pngFile:CDel 8.pngFile:CDel node h.pngFile:CDel 4.pngFile:CDel node h.png
File:Uniform tiling 444-t0.png File:Uniform tiling 84-h01.png File:Uniform tiling 443-t1.png File:Uniform tiling 444-snub.png File:Uniform tiling 88-t0.png File:H2-5-4-primal.svg File:Uniform tiling 84-snub.png
h{8,4} s{8,4} hr{8,4} s{4,8} h{4,8} hrr{8,4} sr{8,4}
Alternation duals
File:CDel node fh.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node.png File:CDel node fh.pngFile:CDel 8.pngFile:CDel node fh.pngFile:CDel 4.pngFile:CDel node.png File:CDel node.pngFile:CDel 8.pngFile:CDel node fh.pngFile:CDel 4.pngFile:CDel node.png File:CDel node.pngFile:CDel 8.pngFile:CDel node fh.pngFile:CDel 4.pngFile:CDel node fh.png File:CDel node.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node fh.png File:CDel node fh.pngFile:CDel 8.pngFile:CDel node.pngFile:CDel 4.pngFile:CDel node fh.png File:CDel node fh.pngFile:CDel 8.pngFile:CDel node fh.pngFile:CDel 4.pngFile:CDel node fh.png
File:Uniform tiling 88-t1.png File:Uniform tiling 66-t1.png File:Uniform dual tiling 433-t0.png File:Uniform tiling 88-t2.png File:H2-5-4-dual.svg
V(4.4)4 V3.(3.8)2 V(4.4.4)2 V(3.4)3 V88 V4.44 V3.3.4.3.8