Review reader Brad Edelman offered this solution. First number the tiles 0 to 6, left to right, with pieces in the same column numbered in sequence from top to bottom. Now:

2 – down, down
4 – down
6 – right
3 – down, right, down, down
1 – right, right
2 – up, up, left
4 – left, down
3 – left
1 – down, right, down
2 – right, right
4 – up, up
3 – left
2 – down
5 – left
6 – up
1 – right
2 – right
3 – right
4 – right
0 – right, right, down, down
5 – left, left, left, down, down
4 – up, left, left, left, up

The original puzzle was posed in the November/December 2007 issue; the solution was presented two issues later.

At the time, readers made some interactive tools, in Word and Flash, to aid in the solving, but those don’t seem to be available any longer. If anyone knows of any, please let me know and I’ll add a link here.

12/06/2016 UPDATE: Reader Chuck Rubins has created a downloadable interactive version in PowerPoint. (Thanks, Chuck.)