Rolling an office chair to one's home is problematic. You do want the comfort and flexibility, but the carpet is thick. If you don't use a carpet protector, it's only a matter of time until the carpet will wear out.
Putting a carpet protector, even one of the very thick variety, only helps with thinner carpets. If your carpet is thick, or it has some cushion padding underneath, you're still in trouble. The wheels sink and it becomes impossible to adjust the chair by small amounts in any direction. The wheels just fall back to where they left an imprint. (From experience, I know that these imprints will eventually crack the carpet protector, but then it's not meant to last indefinitely).
Hence I'm starting to think that a 5ftx4ft thin wooden board would do the trick. It would both protect the carpet and it would allow the wheels to roll. But that solution will look terrible in any home office, no matter how rustic the rest of the room.
How do you keep an office chair smoothly rolling, including the ability to fine tuning its location, on a thick carpet that you'd like to protect?