So I've been working on a set of domino puzzles, I call DominoBrane
recently, it's sort of similar to Dominosa - except that, unlike Dominosa, the rules of the normal domino game must be followed.
Each domino must connect, as in the normal game, to it's neighbour [0:3][3:3][3:5] etc and make a full circuit of all the 6-dominoes.
At each square, there must be no ambiguity as to which is the connected domino (eg, for a 4 there will be only one adjacent domino with a 4)
The dominoes must be constrained to a 7x8 grid.
Here is an example.
╔═══╦═══════╦═══╦═══╦═══════╗
║ 5 ║ 5 4 ║ 4 ║ 3 ║ 3 1 ║
║ ╠═══════╣ ║ ╠═══════╣
║ 6 ║ 0 2 ║ 2 ║ 3 ║ 1 1 ║
╠═══╬═══════╬═══╩═══╬═══════╣
║ 6 ║ 0 0 ║ 0 3 ║ 1 2 ║
║ ╠═══════╬═══════╬═══╦═══╣
║ 4 ║ 1 6 ║ 6 6 ║ 6 ║ 2 ║
╠═══╬═══╦═══╬═══════╣ ║ ║
║ 4 ║ 1 ║ 4 ║ 4 4 ║ 2 ║ 5 ║
║ ║ ║ ╠═══╦═══╬═══╬═══╣
║ 1 ║ 0 ║ 3 ║ 3 ║ 4 ║ 2 ║ 5 ║
╠═══╬═══╩═══╣ ║ ║ ║ ║
║ 1 ║ 0 6 ║ 6 ║ 0 ║ 2 ║ 3 ║
║ ╠═══════╬═══╩═══╬═══╩═══╣
║ 5 ║ 5 5 ║ 5 0 ║ 2 3 ║
╚═══╩═══════╩═══════╩═══════╝
And here it is again, showing the path of the chain.
╔═══╦═══════╦═══╦═══╦═══════╗
║ 5 - 5 4 - 4 ║ 3 - 3 1 ║
║ ╠═══════╣ ║ ╠═════|═╣
║ 6 ║ 0 2 - 2 ║ 3 ║ 1 1 ║
╠═|═╬═|═════╬═══╩═|═╬═|═════╣
║ 6 ║ 0 0 - 0 3 ║ 1 2 ║
║ ╠═══════╬═══════╬═══╦═|═╣
║ 4 ║ 1 6 - 6 6 - 6 ║ 2 ║
╠═|═╬═|═╦═══╬═══════╣ ║ ║
║ 4 ║ 1 ║ 4 - 4 4 ║ 2 ║ 5 ║
║ ║ ║ ╠═══╦═|═╬═|═╬═|═╣
║ 1 ║ 0 ║ 3 - 3 ║ 4 ║ 2 ║ 5 ║
╠═|═╬═|═╩═══╣ ║ ║ ║ ║
║ 1 ║ 0 6 - 6 ║ 0 ║ 2 ║ 3 ║
║ ╠═══════╬═══╩═|═╬═|═╩═|═╣
║ 5 - 5 5 - 5 0 ║ 2 3 ║
╚═══╩═══════╩═══════╩═══════╝
So here's the puzzle: 6-DominoBrane #1, first published here
Following the rules above, find the solution where the numbers match the grid as follows (a blank means 'any number':
╔═══╦═══╦═══╦═══╦═══╦═══╦═══╗
║ 0 ║ ║ ║ 0 ║ ║ ║ 0 ║
╠═══╬═══╬═══╬═══╬═══╬═══╬═══╣
║ ║ 1 ║ ║ 1 ║ ║ 1 ║ ║
╠═══╬═══╬═══╬═══╬═══╬═══╬═══╣
║ 3 ║ ║ 2 ║ 2 ║ 2 ║ ║ 4 ║
╠═══╬═══╬═══╬═══╬═══╬═══╬═══╣
║ ║ 6 ║ ║ 3 ║ ║ 3 ║ ║
╠═══╬═══╬═══╬═══╬═══╬═══╬═══╣
║ 3 ║ ║ 4 ║ 3 ║ 4 ║ ║ 5 ║
╠═══╬═══╬═══╬═══╬═══╬═══╬═══╣
║ ║ 5 ║ ║ 2 ║ ║ 5 ║ ║
╠═══╬═══╬═══╬═══╬═══╬═══╬═══╣
║ 6 ║ ║ 4 ║ 1 ║ 1 ║ ║ 6 ║
╠═══╬═══╬═══╬═══╬═══╬═══╬═══╣
║ ║ 6 ║ ║ 0 ║ ║ 2 ║ ║
╚═══╩═══╩═══╩═══╩═══╩═══╩═══╝
If you solve it, I would really love to know how!
You will be the first person to solve any 6-DominoBrane.
There is exactly one solution to this puzzle.
Be careful to make sure that each square is unambiguous as to where it would go next - the problem is much easier without that constraint.
(Kudos to @bobble for telling me I need to provide single solution puzzles)