I do not know how i came accross your website. I remember the china labyrinth from my days at the game-club fanaat. I have several solutions with these extra constraints:
- smalles possible hexagonal surface (32x32x32)
- an "empty side" may not connect to anything (hence 32 size)
- no two tiles are adjacent: not touching.
I will visit again for a better look at this website. Looks very interesting