Wang's Conjecture

Author

Eric W. Weisstein
October 21, 2021

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Tilings/WangsConjecture.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/WangsConjecture.html.

©2021 Wolfram Research, Inc. except for portions noted otherwise

Source

https://arxiv.org/abs/1506.06492

11-square tile example

From Ed Pegg, Jr.
October 21, 2021

wang={{0,0,0,1},{0,2,2,1},{1,0,3,2},{1,3,0,1},{1,3,1,1},{1,3,3,3},{2,1,0,2},{2,1,1,0},{2,2,2,0},{2,3,1,2},{3,1,3,2}};
tri={{{0,2},{1,1},{2,2}},{{0,0},{1,1},{0,2}},{{2,0},{1,1},{2,2}},{{0,0},{1,1},{2,0}}};
colors={White,Red,Blue,Green};
GraphicsGrid[Partition[Table[Graphics[{EdgeForm[{Black,Thick}],{colors[[#[[1]]+1]],Polygon[#[[2]]]}&/@Transpose[{wang[[k]],tri}]}],{k,11}],UpTo[6]]]