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Course detail
FIT-VINAcad. year: 2013/2014
Introduction into computer art, computer-aided creativity in the context of generalized aesthetics, a brief history of the computer art, aesthetically productive functions (periodic functions, cyclic functions, spiral curves, superformula), creative algorithms with random parameters (generators of pseudo-random numbers with different distributions, generator combinations), context-free graphics and creative automata, geometric substitutions (iterated transformations, graftals), aesthetically productive proportions (golden section in mathematics and arts), fractal graphics (dynamics of a complex plane, 3D projections of quaternions, Lindenmayer rewriting grammars, space-filling curves, iterated affine transformation systems, terrain modeling etc.), chaotic attractors (differential equations), mathematical knots (topology, graphs, spatial transformations), periodic tiling (symmetry groups, friezes, rosettes, interlocking ornaments), non-periodic tiling (hierarchical, spiral, aperiodic mosaics), exact aesthetics (beauty in numbers, mathematical appraisal of proportions, composition and aesthetic information).
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Aims
Specification of controlled education, way of implementation and compensation for absences
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Classification of course in study plans
branch MBS , 0 year of study, summer semester, electivebranch MIN , 0 year of study, summer semester, electivebranch MIS , 0 year of study, summer semester, electivebranch MMI , 0 year of study, summer semester, electivebranch MMM , 0 year of study, summer semester, electivebranch MPV , 0 year of study, summer semester, electivebranch MBI , 0 year of study, summer semester, electivebranch MGM , 1 year of study, summer semester, electivebranch MSK , 0 year of study, summer semester, elective
Lecture
Teacher / Lecturer
Syllabus
2. Generalized aesthetics: Visual forms of mathematical art
3. History of computer art: From analog oscillograms to virtual reality
4. Aesthetic functions I: From sinus and cosinus to the superformula
5. Aesthetic functions II: Generated graphics and the rhythm of algorithms
6. Aesthetic proportions: Golden section in mathematics, art and design
7. Graftals: Branching systems and models of growth in nature
8. Fractals I: Iterated functions systems and space-filling curves
9. Fractals II: From complex fractals into higher dimensions and chaos
10. Mathematical knots: From Celtic motives to algorithmic sculptures
11. Ornaments and tiling I: Symmetry, periodic tiling and interlocking ornaments
12. Ornaments and tiling II: Hierarchic, aperiodic and hyperbolic tiling
13. Exact aesthetics: Mathematical appraisal of shape, color and composition
Project