Portal Part 38 walkthrough covering piston puzzles and Least Time Maps LT13, LT14, and LT15.
Grab the box and jump off of the ledge. Just after you go off of the edge, hold the analog stick backwards to fall onto a ledge under the one you were just on. Shoot a portal (the one that was just on the 45 degree wall) on either white wall here. Push the button, and bring the box through. You will end up below some pistons. Look up and shoot a portal (the one that is not on the ground near you) at the white portion.
Bring the box through, then approach the ledge. Jump off while still holding the box to be flung back to the ledge with the button. Put the box on the button. Jump back down to the ground below (but don't jump directly into the portal, or you'll end up right back where you just were) and fall through the portal from here. Enter the door.
In here, shoot a portal at the lowest piston, then walk over to the ledge not above the water, but rather above a large pit. Shoot a portal at the ground here, then jump down through it. As you are coming out of the portal on the piston, look at the next highest piston. Shoot the portal that was in the pit (not the one on the piston) onto it. You will fall through and shoot up from the higher piston.
Keep doing this, being sure to alternate portals until you reach the fourth piston, where there is no next-highest piston. Instead, look towards the area where you started this piston-jumping puzzle (the area between the lowest piston and the pit) and look up to see a wall slanted at a 45 degree angle. Shoot the portal opposite the one on the highest piston at it to be flung to a platform. Run through the doorway and into the chamberlock.
Least Time Maps (LATI)
Since these are all supposed to be done in rapid succession, I would recommend reading these in their entirety before attempting the chambers.
Least Time Test Chamber 13 (LT13)
Goal: 40 Seconds
Gold: 19 Seconds
Quickly run forward. Shoot a portal right next to the box, and another anywhere near you. Grab the box and place it on the button. Shoot a portal through the door, then grab the box and go through the portal near you. Use your momentum (by turning and pressing the throw button) to propel the box over to the lower piston. Shoot a portal through the newly-opened door and another one near you. Jump through, then run into the chamber lock. My normal speed using this one is about 10-11 seconds.
Least Time Test Chamber 14 (LT14)
Goal: 50 Seconds
Gold: 10 Seconds
Continually jump forward (it's faster) and while jumping shoot a portal near the base of the piston. Turn left and shoot a portal at the wall where the stairs would go up. Jump through the portal near you, then while falling shoot a portal where you would land. While flying up through the portal near the piston, move your analog towards the piston. Quickly jump your way into the chamberlock. My normal time with this one is 8-10 seconds.
Least Time Test Chamber 15 (LT15)
Goal: 1 Minute, 45 Seconds
Gold: 54 Seconds
Whenever I say "go", or "run" or any other verb implying motion, I really mean "jump". You should always be jumping during this one (unless specifically stated) or you won't make time.
Run out of the chamberlock and go into the larger room. Turn and place a portal on the concrete block above the doorway, and the other at your feet. While falling, shoot a portal where you would land to be flung to the other side.
Run into the next room. In here, place one portal where the energy ball mark is and the other directly across from the other energy field (that has the receptacle, not the dispenser). After it exits the second portal, be quick and run into the area with the receptacle. Shoot a portal where the energy ball would hit, and the other at the orange light on the ceiling above the receptacle.
To save time, shoot a portal at the white wall above the piston as it comes down and the other at your feet. Run down the hallway. In here, turn and face the door you just came out of and shoot a portal at the pushed out slab above it. Run into the small side room. Run up the stairs and jump into the pit. As you are falling, shoot a portal where you would land.
Then, as you are flying out of the portal on the slab, shoot a portal where you would land to be flung to the other side. Approach the door. Shoot a portal at the far wall, and the other at the wall near you. Crouch down and inch into the portal. When you can shoot, shoot a portal at the wall to your left (you should be staring at where the two portals meet). As the portal is traveling, step out of the portal to avoid being pushed into the water.
Crouch back into the portal again, and this time shoot a portal into the room with two pistons. Run out of the portal and go over to the only piston in the up position. Place a portal near the bottom of it. Place the other portal at the ceiling near it, but not above it. Fall through the portal at the base of the piston.
As you are falling, place the portal that was on the ceiling (not near the piston) where you would land. If you do it right, you should be pushed upwards from the portal near the piston. Move the analog stick in the direction of the piston to end up on top. Quickly run into the chamberlock. My normal time here is between 48 and 54 seconds.
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