> Maybe a large screen that can easily be flipped vertical/horizontal would work well. People already do it with the their smartphones - why not stationary screens? Have the OS detect when it happens so it can make any predetermined layout changes. Maybe have it rotate using a small motor? Cable connections into a base unit to avoid entanglement.
Good news: all of this except the motorization is already available from Dell and others. Common office setup. I often see people with one screen in portrait format for reading documents.