This research focuses on the creative interdisciplinary process of designing repetitive patterns stemming from periodic functions with two variables. By using Wolfram Mathematica, a computer algebra system, we generated 3D-graphs based on pre-set mathematical functions with linear combination of powers of sinusoidal functions. The latter were then cut by a selected number k on the horizontal xy plane on equal or unequal levels. The cuts were projected onto plane z = 0, where contour maps appeared. With a digital translation of abstract mathematical values onto a visual media, a visual image based on aesthetic concepts was created. The creative criteria were based on the artistic potential of periodic configurations, expressive properties of structural units and the congruence of various compositions. Colour combinations and contour lines were then applied to corresponding contour maps by means of optional parameters, thus creating one-layered repetitive patterns. An even greater diversity of composition was achieved by layering and combining planes into multi-layered configurations. Since the result of this research was to design a mathematical collection with one- and multi-layered repetitive digital patterns, a systematic structural analysis allowed us to define wallpaper groups based on planar distribution, disposition of modular structure units and symmetric operations. A digital collection of periodical patterns based on seventeen wallpaper groups was also created, in which symmetric operations were applied onto an asymmetric cell of a selected repetitive pattern in accordance with the characteristics of the various wallpaper groups. The symmetric unit of one motif which repeats itself in regular intervals was then applied in parallel rows within the elementary grid. Finally, we put up an exhibition at Zeta Gallery, where we focused on the artistic impact which the repetitive patterns, devoid of mathematical groundwork, had on visitors.
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