Footsteps illusion art. Issue 1 (1st October 2016)

• Record Type: Journal Article
• Authors: Ono, Jun; Tomoeda, Akiyasu; Sugihara, Kokichi
• Is Part Of: Journal of mathematics and the arts. Volume 10:Issue 1/4(2016)
• Page Start: 65
• Page End: 73
• Publication Date: 2016-10-01
• Subjects: Footsteps illusion -- optical illusion artwork -- computational illusion; 00A66 (Mathematics and Visual Art, Visualization); Arts -- Mathematics -- Periodicals; 700.151
• DOI: 10.1080/17513472.2016.1236645
• Languages: English
• ISSNs: 1751-3472

Abstract

ABSTRACT: This paper proposes a method for creating art using an optical illusion called the footsteps illusion. We consider the mechanisms of this illusion, classify the apparent motions into eight patterns according to the widths of and the distance between objects, and create new illusion artwork by combining these patterns. By this method, we can create various types of apparent motion, such as crawling and flopping. Even apparent rotation can also be generated, although the actual motion is pure translation. Furthermore, we can control the direction of rotation, and we can generate a pair of identical shapes in such a way that they rotate in opposite directions. Finally, two practical applications are proposed.