Manfred Mohr
P1650-B, 2014
Pigment ink on paper, 12 parts
15.75 x 19.7 in / 40 x 50 cm, each

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  Aritficiata 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.



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