Topology-disturbing objects: a new class of 3D optical illusion. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Sugihara, Kokichi
• Is Part Of: Journal of mathematics and the arts. Volume 12:Issue 1(2018)
• Page Start: 2
• Page End: 18
• Publication Date: 2018-01-02
• Subjects: Ambiguous cylinder -- anomalous object -- impossible object -- inconsistent mirror image -- visual illusion; 00A66 (Mathematics and Visual Art, Visualization); Arts -- Mathematics -- Periodicals; 700.151
• DOI: 10.1080/17513472.2017.1368133
• Languages: English
• ISSNs: 1751-3472

Abstract

ABSTRACT: A new class of objects, called topology-disturbing objects, is presented. These objects appear to disturb the topological properties when they are seen from two specific viewpoints; for example, two objects appear to be separated when seen from one viewpoint while they appear to be intersecting when seen from the other viewpoint. This cannot happen physically, but due to the phenomenon of an optical illusion, it can be perceived to occur. A general method for designing this class of objects is presented and examples are given. These objects might provide a new resource for arts and entertainment. Abstract :