In this case, "multiple show surfaces" refers to an older style of circus where there were as many as three acts running simultaneously in three different areas of the circus. In America, these surfaces were called "rings" and several circuses billed themselves as a "three ring circus." The expression "a three ring circus", is often used to describe a chaotic situation where several things are happening at once and no progress is being made. Example: "The organization of the headquarters was like a three ring circus. Everyone was running around but nothing was getting done."
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