Projection of Point Sets to a Lower Dimension with Applications in the Arts

György Darvas
Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (2010)
Pages 279–286


The paper deals with projections that map points between sets represented in different dimensions, in particular we consider examples of such projections that could have applications in the arts. Often Art involves projecting higher, in most cases three-, dimensional objects into two-dimensions. An example with a wide application is when one makes a correspondence between the points of the 3D “color cube” and the points of a 2D (plane) picture. We use this idea to present a decomposition of color pictures into symmetric and antisymmetric components.