Reminds me of a study I once heard about (at work so can't look up the link).
Apparently some researchers wanted to learn about how the brain can wire/unwire itself, similar to this backwards-steering bicycle. They ended up fitting a few dedicated subjects with goggles that made everything upside-down and mirrored left to right. At first, everything seemed upside-down and mirrored to the subjects, but eventually (from five days to six weeks depending on which study), the upside-down and mirrored vision turned normal. After the goggles were removed, everything was predictably upside-down and mirrored for another length of time.
I may have got some details wrong, but that's how I recall the experiment. It seems like it would be very difficult to ride a bike with reverse steering!