Manfred Mohr
P2200_4570, 2014-2015
Pigment ink on paper
33.4 x 33.4 in / 84.8 x 84.8 cm, framed

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 his real-time computer animation works.
P2200_4570 (2014-2015) is generated from the Traces – Capturing the history of n-dimensional rotations program written during Mohr’s Artificiata II phase. In program P2200, the thick white line shows a rotated n-dimensional diagonal-path projected into 2D and the color lines show the history of that movement restricted to the 2D rectangular space. The algorithm also relates the attachment of a diagonal-path to its horizontal lines.
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