The Half Planes work-phase (1995-97) is based on the 6-D hypercube. As indicated for the Laserglyphs (1991), this complex structure has 32 diagonals from which 23040 "diagonal-paths" can be calculated combinatorially. A random selection of two "diagonal-paths" from this alphabet of signs provides the building blocks for each work in this work- phase. A six-dimensional "diagonal-path" is built from six consecutive connected vectors, each having a different but distinct direction. Each direction represents one of the six mathematical dimensions. All six vectors of one "diagonal- path" are matched with their corresponding vector on the other "diagonal-path", resulting in six vector pairs. Each vector pair is oriented to form a non-intersecting planar quadrilateral, and then is completed visually with thin lines. Thus, six rectangles are created, and together with the two "diagonal-paths", describe a contour line, resulting in the most surprising shapes.
In the grey paintings, the "diagonal-paths" are represented by thick white lines. The vector pairs which complete the quadrilaterals are represented by thin black lines. The quadrilaterals are colored in grey to create the shape of the painting.
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