Starting position: 0 and -1 denote empty spaces The empty spaces are always together in the upper left most positions. Solve puzzle by moving spaces to the bottom right with the numbers in order. 6 possible directions are symbolized by 5 0 \ / 4--*--1 / \ 3 2 (i.e. 1 = right, 4 = left) The solutions given are for a starting position of "offset" as this is also used in the hexagons puzzles on this site. Solutions for other starting positions of "mirror" and "reverse" and "reverse offset" solutions may also be available in breadth first search program for hexagons puzzle. A swap of the last 2 tiles is done if the puzzle is not solvable in starting format. hexagons_3_3.txt is the solution to the 17 Puzzle from the 16th International Puzzle Party Exchange gift of David Bagley. (Originally gave a longer 251 solution.) Only the tile labeled 3 can move initially. Then depending where this is moved, only the tiles labeled 2 or 4 can be moved. Corners mode by default, if the corners are trimmed another tile is added (this puzzle is much easier as parity is not preserved.