Hex quotients

Considering that 1 node of the hex grid is labeled 1, there being 6 possible directions to go, 3 from one types of vertices, 3 from the other...

Any time you go straight up, you multiply by 2, straight down you divide by 2, down and to the right you multiply by 3, up and to the left you divide by 3, down and to the left you multiply by 5 up and to the right you divide by 5.
And it all hangs together nicely.
I don't know the use of it I just thought it was neat enough to spend time making a graphic...