Anomalous Mirror Symmetry Generated by Optical Illusion

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