Aesthetic Beauty of Rotation

Ergun Akleman and Vinod Srinivasan
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 477–478


In this paper, we present the rotation project in our introductory animation class. During lectures we cover the mathematical aesthetics of rotations by comparing the advantages and disadvantages of using vector, matrix and quaternion algebras to create rotations. Students create animated virtual sculptures using only combinations of periodic functions. The abstract moving sculptures that are produced reveal that unusual and interesting aesthetics can be created using simple rotation.