In the work from Mohr's "Aritficiata II" phase (2012-2015), a diagonal-path from a hypercube, randomly chosen between eleven and fifteen dimensions, is drawn. A diagonal-path is a multiple-segmented line where each change of direction indicates the passage through a single dimension. Horizontal lines are attached to the line at each change of dimension, that is, the horizontal lines are drawn through the y-value of each vertex of the diagonal path when it is projected into 2D. The spaces between the horizontal lines on either side (left or right) of the diagonal-path are filled with distinct sets of randomly chosen colors. The same procedure also calculates lines and colors in the vertical direction through the x-value of each vertex. The vertical lines are not drawn, but the resulting color sets are retained. This procedure creates four color sets from which three are randomly chosen to construct the resulting image. By overlaying the color sets successively, unpredictable constellations appear. The color spaces and horizontal lines move with the structure when the diagonal path (white line) is in slow motion (rotating in hyper-dimensional space and then projected into 2D), and can be observed in my real-time computer animation works.
The works that comprise "P1650_B" (2014) are from the "Projections and Dimensions" program written during Mohr's "Artificiata II" phase. The animation "P1660" shows all the 2D projections of a randomly chosen n-dimensional diagonal-path between 2D and 13D in a cyclic mode. Similar to the rules in twelve-tone music, each dimension has to be selected once before the same dimension can appear again. Program "P1650" shows, on paper, a complete set of all the 2D projections of a n-dimensional diagonal-path between 2D and 13D.
About Manfred Mohr
Influenced by his experience as a jazz musician and by German philosopher Max Bense’s theories on rational aesthetics, Manfred Mohr has been an innovator in the field of computer-generated art. To manipulate, for example, the myriad variations of the 11-dimension hypercube, Mohr created algorithms in FORTRAN programming language and printed them on flatbed plotters before the advent of laser printers. Mohr’s “Klangfarben” series (2008) features paintings and digital animation of brightly colored diagonal lines and intersecting planes against a flat black background.
German, b. 1938, Pforzheim, Germany