There is a compass on the floor with four stones, each with a different
symbol, a statue in the middle without a head and four tiles on the wall
that match the compass symbols. The clue is that you have to "look in 
the direction of the answer." 

1. Find the statue's head and put it on. 
2. Click on the head to rotate it. 
3. Look at the compass on the floor to see which symbol matches the 
   direction the statue is looking. 
4. Press the tile on the wall that matches that direction. If you have
   the right one, the tile will stay depressed. 
5. Click on the head to rotate it to a different direction. Then repeat
   finding the symbol and pressing the matching wall tile. 

* Repeat until all 4 wall tiles are depressed. At that point the secret
  doors will open. 
* There are times when you will use a brush to clear away dust which 
  reveals clues. 
* There is a "hint finder" which doesn't cost points but does take a 
  little time to regenerate. 
* The Journal contains useful information.