[00:02] you create a tiling pattern of a hexagon here each of those tiles is going to be a little rhombus whose internal angles are 60 and 120° and the side length of the hexagon will be some whole number multiple of the side length of the tile [00:16] whenever you see three of those little rhombuses make a little hexagon you could create a slightly different tiling by rotating that little hexagon 60° when you do this sometimes it creates a different little hexagon that wasn't [00:29] there before but which now can then be rotated to create yet another pattern the question is using only these moves can you necessarily get from any tiling of the hexagon to any other the full video that this comes from was really [00:42] fun to make it involves a number of very nice puzzles with unexpected Solutions and this puzzle in particular is fun because if you squint your eyes and see it in just the right way the key insight for answering kind of Pops right out at [00:55] click the link at the bottom of the screen