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Article

Anomalous Mirror Symmetry Generated by Optical Illusion

Meiji Institute for the Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan
Symmetry 2016, 8(4), 21; https://doi.org/10.3390/sym8040021
Submission received: 22 January 2016 / Revised: 29 March 2016 / Accepted: 1 April 2016 / Published: 8 April 2016
(This article belongs to the Special Issue Symmetry in Vision)

Abstract

This paper introduces a new concept of mirror symmetry, called “anomalous mirror symmetry”, which is physically impossible but can be perceived by human vision systems because of optical illusion. This symmetry is characterized geometrically and a method for creating cylindrical surfaces that create this symmetry is constructed. Examples of solid objects constructed by a 3D printer are also shown.
Keywords: ambiguous cylinder; mirror symmetry; visual illusion; visual perception ambiguous cylinder; mirror symmetry; visual illusion; visual perception

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MDPI and ACS Style

Sugihara, K. Anomalous Mirror Symmetry Generated by Optical Illusion. Symmetry 2016, 8, 21. https://doi.org/10.3390/sym8040021

AMA Style

Sugihara K. Anomalous Mirror Symmetry Generated by Optical Illusion. Symmetry. 2016; 8(4):21. https://doi.org/10.3390/sym8040021

Chicago/Turabian Style

Sugihara, Kokichi. 2016. "Anomalous Mirror Symmetry Generated by Optical Illusion" Symmetry 8, no. 4: 21. https://doi.org/10.3390/sym8040021

APA Style

Sugihara, K. (2016). Anomalous Mirror Symmetry Generated by Optical Illusion. Symmetry, 8(4), 21. https://doi.org/10.3390/sym8040021

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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