[jekub]

It works the other way, the shooter position is fixed as well as your position. Your are allowed to place a finite amount of blockers to make your position safe. The video comment say that it is always possible to make your place safe with at most 16 blockers. There is a link to the actual code used.

[makach]

Does this also work in a 3D environment?

[jonas21]

Yes, but you'd need up to 64 obstacles.

[lupire]

does it work in a 1D environment? yes, 1 blocker.

does it work in a 4D environment?

[SamBam]

Sure, a time blocker that is placed before the laser is ever turned on.