Under Dwell Level H1, Open Sesame, is part of the "Home Side Quest". To unlock this quest, you must complete the Gate Keeper's treasure hunt. One strategy for this level is to cut above the two icicles, timing to land the block of ice on the moving platform. Drop the baskets in either side of center to open the gate, then chose to pursue either par or coins.
If you have a different strategy for completing this level feel free to leave a comment below.
