Work of Jean Constant
Jean Constant is an artist who was born in France, and now lives in Los Alamos, New Mexico.
He is interested in exploring the overlap between arts and science. The image above, for instance, entitled Aphroditis, visualises both a Klein bottle and also fractal geometry.
He explains as follows...
'Fractal: Mandelbrot Surfaces: ...A surface is described by a map of a rectangle in the space R2 with coordinates (u, v) into the space R3 with coordinates (x, y, z). The rectangle is the product of the intervals [uMin,uMax] and [vMin, vMax], and each point (u, v) in the rectangle is mapped to a 3-dimensional point P with coordinates (x(u, v), y(u, v), z(u, v)). The mapping is given by writing Pascal procedures that define the components of P as functions of u, v and nine global "parameters", called aa, bb, cc, dd, ee, ff, gg, hh, and ii. Most surfaces need only 1,2,3 or even none of these parameters. (For example, an ellipsoid depends on three semi-axes, aa, bb, cc)....'
Software used to create his images includes 'Visualisation of mathematical objects' ©Richard Palais, Photoshop, Painter.
Reproduced with permission from the artist. Visit Jean Constant's home page.