A new type of impossible objects that become partly invisible in a mirror

  • Kokichi Sugihara
Original Paper Area 3


This paper presents a new class of anomalous objects that partly disappear when they are reflected in a mirror. They can be constructed by combination of mathematical properties of mirror symmetry and psychological properties of optical illusion. A general method for designing these objects is proposed together with examples.


Anomalous object Height reversal Impossible object Optical illusion 

Mathematics Subject Classification




This work is supported by the Grant-in-Aide for the Challenging Exploratory Research No. 15K12067 and for the Basic Scientific Research No. 16H01728 of MEXT


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Copyright information

© The JJIAM Publishing Committee and Springer Japan 2016

Authors and Affiliations

  1. 1.Meiji UniversityKawasakiJapan

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