Ah yes, this room.
http://www.drod.net/forum/viewtopic.php?TopicID=128&page=0#20309
has the complete spoiler, as in move by move to the end. Use only if desperate. Otherwise : (Taken from DROD.net)
Click here to view the secret text
×Level 15; Once South Twice West
The only way many DROD players have managed this room is by making a map. Determine in what order the orbs should be struck, then draw up a little grid and work backwards past each orb, filling in each square of the grid as you go.
The order is: top right, bottom left, middle top right, middle left, bottom right, middle bottom right, top left.
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--That guy with a million different aliases since he doesn't like this name anymore.