When a Möbius loop is cut along the middle of the band, the result is a single connected loop, yet anecdotal evidence from science demonstrations and the use of this effect in magic tricks suggest that most people are thoroughly surprised by this because they strongly believe that the result should be two separate loops. Here, we present results from a behavioral experiment confirming this anecdotal evidence and discuss potential theoretical explanations for why this demonstration evokes strong, but misleading intuitions and a related illusion of impossibility.

中文翻译：

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莫比乌斯带惊喜：图像中的系统错觉

当莫比乌斯环沿着环带的中间被切断时，结果是一个连接的环，然而来自科学演示的轶事证据以及在魔术中使用这种效应表明大多数人对此感到非常惊讶，因为他们坚信结果应该是两个单独的循环。在这里，我们提出了一项行为实验的结果，证实了这一轶事证据，并讨论了潜在的理论解释，解释为什么这一演示会唤起强烈但误导性的直觉以及相关的不可能幻觉。