The Journal of the Society for Art and Science
Cover sheet for paper submissions

* Paper Types (choose one)
  - Original Full Paper 

* Paper Field（choose one）
  3) Fusion (Art and Science)

* Categories (choose one or more)
  a-5) CAD/CAE/CAM
  d) Other (Computer-Aided 3D Art)

* Special Issue Correspondence (choose one）
  - General Submission

* Title
  Circular-Parade Illusion Created by Half-Body Objects and Mirrors

* Author(s)
  Kokichi Sugihara (Regular Member)

* Author Affiliation(s)
  Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University

* Author E-mail Address(es)
  kokichis@meiji.ac.jp

* Name, Address, Affiliation, Telephone number, Fax number, and E-mail Address of the Contact Person
  Kokichi Sugihara
  4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan
  Phone: 03-5343-8841
  Fax: 03-5343-8068
  E-mail: kokichis@meiji.ac.jp

* Abstract (approx. 100 words)
   This paper presents a new visual phenomenon in which the shape of a whole animal 
is created by optical illusion when a physical 3D object representing a head half or 
a tail half is placed in contact with a mirror, and the resulting whole animal
makes a U-turn in another mirror that is perpendicular to the first mirror. 
Using two such half-body objects, we can create a circular parade of four animals 
that orient clockwise or counterclockwise uniformly. The mathematics and design 
principles of this phenomenon are shown with examples. Some extensions are also 
discussed. 

* Keywords (around five)
  3D optical illusion
  impossible object
  ambiguous object
  reft-right-reversal illusion
  translation illusion