TAILIEUCHUNG - On Birkhoff’s Aesthetic Measure of Vases by Tomáš Staudek

As for formal features, in recent advertisements abstraction is found not as a flat composition of graphical or animated elements, but as a reduction of pho- tographic images to a painterly arrangement of light and colour. However, the arrangement of the visuals based on music harks back to the concept of rhythm so central in the modernist avant-garde. An additional aspect common to both periods of advertisement production is the use of notable art-film directors (Fischinger, Ruttmann, Richter in the 1920s) or art-house directors (Luhrmann, Lynch, Wong Kar-wai in recent years), thus invoking specific cultural knowledge on the. | FI MU Faculty of Informatics Masaryk University On Birkhoff s Aesthetic Measure of Vases by Tomas Staudek FI MU Report Series Copyright 1999 FI MU FIMU-RS-99-06 September 1999 On Birkhoff s Aesthetic Measure of Vases Tomas Staudek Faculty of Informatics Masaryk University of Brno Botanicka 68a 602 00 Brno Czech Republic E-mail toms@ Abstract. Report discusses contribution of Birkhoff s aesthetic measure to formal aesthetic evaluation of regular geometrical objects namely Chinese vases. Characteristics of aesthetic measure function are considered in order to verify correctness of such application and extended Birkhoff s aesthetic measure is then introduced. Keywords exact numerical aesthetics Birkhoff s aesthetic measure extended Birkhoff s aesthetic measure of vases 1 Introduction Art and manufacture of aesthetic criteria fulfilling artifacts accompany the humankind from time immemorial. Pristine ritual nature of an artistic expression evolved into premeditated production and admiration of aesthetic sensually engaging artifacts that have endured in a form of material or immaterial artistic creations up to the present days. For each historical period and prevailing artistic movement we can observe certain binding rules for assessing beauty or artistic value . These rules have varied often startlingly from decade to decade qualities praised by daedal Art Nouveau for instance are speedily rejected by pragmatic Functionalism. One can ask whether it is possible to design a formal aesthetic evaluation apparatus for a certain class of objects valid without regard to artistic style paradigms. Is there anything such as an absolute art measure Can art be appraised on a set of accurate rules Initial answer to this problem was given in the first half of the twentieth century by a mathematician George D. Birkhoff who proposed his aesthetic measure theory 1 binding the aesthetic perception with two criteria order and complexity. In case of visual arts order O depends .

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