The switch behind the Talisman logo reveals a box and letter. Get the key from inside the box by moving the gold ball to the other side of the maze.
Use the eyepiece on the wood panel near the globe to reveal a square opening. Use the key on the nearby keyhole, then spin the gold dial left, right, left, and left to reposition all the tumblers. Place the photo, then collect and place the square peg.
Spell S-I-G-I-L on the dials. The blue crystal goes on the base opposite where you found it. Adjust the light beam to get a flywheel, which opens a double drawer near the base. Place the light reflector to change the path of the beam. Tapping the buttons drops panels in a timed sequence. The right button sequence rewards a map piece. The left side provides a brass key.
Use the key to get another reflector, which attaches to the first reflector. Equip the eyepiece and adjust the sliders around the edges to change the path of the light. Place the map fragments into the globe. Use the crank to open the circular panel. Equip the eyepiece and adjust the dial and your view to see a now-familiar shape.
Reshape the wooden box by spinning its base. Place it above the adjustable keyhole. Repeat the star pattern viewed through the telescope on the grid of stars built into the box for the final map piece.