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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
Academic Editors: Marco Bertamini and Lewis Griffin
Symmetry 2016, 8(4), 21; https://doi.org/10.3390/sym8040021
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)
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PDF [14765 KB, uploaded 11 April 2016]
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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. View Full-Text
Keywords: ambiguous cylinder; mirror symmetry; visual illusion; visual perception ambiguous cylinder; mirror symmetry; visual illusion; visual perception
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Sugihara, K. Anomalous Mirror Symmetry Generated by Optical Illusion. Symmetry 2016, 8, 21.

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