Which type of performance space requires spectators to take in and synthesize several impressions at once?

The answer is "multi-focus theater".

Multifocus theater is an auditorium in which something is going on at the same time in a few playing territories. A performance may have in excess of one scene occurring in the same time, like a three ring bazaar. A group of people looking at this will need to center around possibly one or a large number of the acting areas.