"Impossible Objects" Are Not Necessarily Impossible - Mathematical Study on Optical Illusion

Mathematical aspects of anomalous pictures are studied. Anomalous pictures are naively regarded as pictures of impossible objects, but some of them are realizable as three-dimensional polyhedral objects. In this paper those pictures are characterized mathematically, and a method for generating the unfolded surfaces of those objects is presented. From these unfolded surfaces one tan actually make “impossible objects”.

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