Eötvös University, Dept. G. Technology, H-1117 Budapest, Pázmány Péter sétány 1/a., Hungary
(Received December 27, 1999; Accepted January 18, 2000)
Keywords: Eurasian Arts, Katachi and Symmetry, Intuitive Mathematical Discoveries, Technologies, Local Operations in Mathematics of Ornamental Art
Abstract. Artworks of various cultural communities in Northern and Middle Eurasia show that many ornamental patterns are life-style related intuitive (sometimes mathematically interesting) designs. Studies on great part of this rich ornamental art heritage helped to recognize characteristic Katachi and Symmetry principles in construction of patterns by extension, reduction, or coloring of the pre-existing patterns known from natural phenomena and technologies. Katachi and symmetry is also strongly connected in the new model of deduction of the set of ornamental patterns by local operations.