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In the early, blue-sky area of the game, there's a room with a stone arch and two treasure chests. One of the chests is on top of the arch, but the other is on a floating ledge far to the side. This is the room Gomez enters at 3:35 in Polytron's trial gameplay video, though the ledge doesn't appear in the video (I guess it's only in the full game?).

3:35 of Polytron's trial gameplay video, mentioned above

Once you get over to the floating ledge, how do you get back down? It looks like all the ledges you can jump to are too far down to survive, and this room doesn't have water.

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up vote 4 down vote accepted

In the full game, there is a treasure map (you can look at both side of the map by rotating it the same way you change perspective during the game) explaining how to get there.

There is no ledge, even in the full game, only invisible platforms.

Not sure if the trial version has treasure maps though.

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Ooh, I didn't know the treasure maps had backs. Thanks! – markpasc Apr 15 '12 at 19:16

A treasure map shows the hidden platforms on the "broken arch" level. The map is found in the lighthouse room, but you don't need it to use its secrets.

archway treasure platform #1 archway treasure platform #2 Gomez standing on the ledge of the hidden platform

You need to rotate the view in midair to reach the second hidden platforms.

Alternative method:

In New Game+, Gomez can fly (press ↑↑↑↑ and jump), which is an easy way to descend from platforms.

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