General description of algorithm for work phase "Liquid Symmetry" 2020-2021 My new work "liquid symmetry" was developed in 2020. It is built from diagonal paths through n-dimensional hypercubes. A diagonal path is a segmented line passing through each dimension once. This work phase is based on a diagonal path through an 11-dimensional hyper-cube projected in 2-D, shown as a thick white line and is connected to its symmetrical counterpart along the edges of the hyper-cube, seen as a thin grey line. These two paths are connected at their common endpoints. A red symmetry line is drawn through these endpoints and extended to the limiting square of the work space. In the images, this red symmetry line is only partially visible at its extremities since it is overlaid by the generated shapes. An easy way to understand the above, is by a simple example where one imagines a half circle and sees the other half of the circle as its symmetrical counterpart which completes the circle. The red symmetry line is created by the diagonal of the circle joining the endpoints of the two halves. Each line segment of the white line is associated and connected to a randomly chosen color, whereas all segments of the grey line are associated and connected to only one solid grey color. A second but darker solid grey color fills the original space between the two diagonal paths before they are rotated. In tiny angular steps, the two linked diagonal paths (white and grey lines) are rotated in 11- dimensions for 25 sec. and projected in 2-D, leaving color traces (color fields). This algorithm is closely related to my earlier work phase Artificiata II - traces 2014 (capturing the history of n-dimensional rotations). P3011 (2020-2021) metal relief / laser-cut aluminum plate forming shape / dye-sublimation printed artwork / content and shape created from the algorithm: Using the above algorithm and in particular to this work series, each line segment of the white line is associated and connected to a randomly chosen opaque color which while rotating creates a solid color shape. The algorithm can choose either one color or multiple colors for these line segments. In this work, the algorithm creates unpredictable and unimaginable color-shapes, which in the finished work are printed in dye-sublimation on aluminum plates and then cut out by a laser beam, forming the most interesting metal reliefs. The red line and the bending of the metal plate are omitted here. P3010 (2020-2021) bent and framed aluminum plate / dye-sublimation printed artwork / content and bend-line are created by the algorithm: Using the above algorithm and in particular to this work series, each line segment of the white line is associated and connected to a randomly chosen transparent color which while rotating leaves transparent color traces. Through the overlapping transparency an unimaginable color space is created. The finished work is printed in dye-sublimation on an aluminum plate and bent by 10 degrees along the above-described red symmetry line, to emphasize the inherent symmetry relation of this art work. The bent aluminum plate is fitted in a black aluminum frame. P3007 (2020-2021) Triptich, Ink Jet on Paper: Using the above algorithm and the particularities of P3010, three images are calculated and placed in "dialogue" next to each other to create a triptyque printed in inkjet on paper. The red symmetry line is drawn in the image but the symmetry bend is omitted. P3000 (2020-2021) Ink Jet on Paper: Using the above algorithm of P3011, the red symmetry line is here drawn as a white symmetry line. The symmetry bend is omitted.
 Publication: Exhibition catalog: Manfred Mohr, "liquid symmetry", bitforms gallery, New York, text by Margit Rosen, 2022