6-Colourings

6-Colourings

There are a total of 18 6-Colourings. You can browse them below.

Use the drop down to restrict the list to 6-Colourings that tile the hyperbolic or euclidian plane regularly.

Pivot Incidence
TileTilingSignature/
Index		n-ColouringGyre
Count		Tile-Vertex
Incidence
tile 151515
\(3t^1\)
151515		\(t1,t1,t2,t2,t3,t3\)43,3,3,3,3,3
tile 151566
\(2t^12f\)
151566		\(t1,t1,t2,t2,f,f\)33,4,3,4,4,4
tile 152244
\(t^12t^2\)
152244		\(t1,t1,t2,t3,t2,t3\)23,5,5,5,5,5
tile 152646
\(t^1t^22f\)
152646		\(t1,t1,t2,f,t2,f\)33,3,4,4,3,3
tile 153153
\(t^1t^3t^1\)
153153		\(t1,t1,t2,t3,t3,t2\)43,4,4,3,4,4
tile 153663
\(t^1t^32f\)
153663		\(t1,t1,t2,f,f,t2\)33,4,3,3,3,4
tile 156156
\(t^1ft^1f\)
156156		\(t1,t1,f,t2,t2,f\)33,4,4,3,4,4
tile 156264
\(t^1ft^2f\)
156264		\(t1,t1,f,t2,f,t2\)33,3,3,4,4,3
tile 156666
\(t^14f\)
156666		\(t1,t1,f,f,f,f\)23,5,5,5,5,5
tile 224466
\(2t^22f\)
224466		\(t1,t2,t1,t2,f,f\)16,6,6,6,6,6
tile 234234
\(t^2t^3t^2\)
234234		\(t1,t2,t1,t3,t2,t3\)24,4,4,4,4,4
tile 234636
\(t^2t^32f\)
234636		\(t1,t2,t1,f,t2,f\)16,6,6,6,6,6
tile 264264
\(t^2ft^2f\)
264264		\(t1,f,t1,t2,f,t2\)34,4,4,4,4,4
tile 264666
\(t^24f\)
264666		\(t1,f,t1,f,f,f\)24,4,4,4,4,4
tile 333333
\(3t^3\)
333333		\(t1,t2,t3,t1,t2,t3\)23,3,3,3,3,3
tile 336336
\(2t^32f\)
336336		\(t1,t2,f,t1,t2,f\)16,6,6,6,6,6
tile 366366
\(t^34f\)
366366		\(t1,f,f,t1,f,f\)23,3,3,3,3,3
tile 666666
\(6f\)
666666		\(f,f,f,f,f,f\)16,6,6,6,6,6