2D and 3D Animation Using Rotations of a Jordan Curve

Peter Hamburger, Edit Hepp and Richard Wartell
Bridges Donostia: Mathematics, Music, Art, Architecture, Culture (2007)
Pages 91–98

Abstract

The authors discuss briefly a method and the art behind it to create the possible maximum number 2n of planar simple connected regions that can be distinguished with different binary string codes with length exactly n. This method uses the rotations of a single simple closed planar curve n times over 360/n degrees. The method creates planar diagrams which are called (rotational) symmetric Venn diagrams. The authors describe that how they created a 2D and 3D animation video to show this rotations for the case n=11. They also illustrate how this can be projected into the surface of a sphere creating marvelous spherical images. (A video will be presented at the 2007 Conference of Bridges Donostia, Mathematics, Music, Art, Architecture, Culture, and some images from it in this paper.)

Files