Strategic Project - UI 6 - 2011-2012

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Publications

Lindenmayer systems and the harmony of fractals

Publication . Pestana, Pedro Duarte

An interactive musical application is developed for realtime improvisation with a machine based on Lindenmeyer-systems. This has been used on an installation whose goal is to draw the attention of unexperienced users to the wealth of realtime applications in computer music. Issues on human computer interaction and improvisation grammars had to be dealt with, as well as probabilistic strategies for musical variation. The choice of L-systems as a basis for machine composition is a consequence of their ability to create results that easily have aesthetic appeal, both in the realms of sound and image.

2012Journal article

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Philip Glass' Façades: a case study on the complexity of music scores

Publication . Pestana, Pedro Duarte; Pestana, Dinis

Repetitive structures in the soprano saxophones, violas/synthesizer and violoncelli in the full score of Philip Glass' Fa cades [4] are investigated assimilating similar music bars with the axial-diagonal self-a ne cartoons as de ned by Mandelbrot [7], [8] to construct very general multi-fractals. Transition matrices of order 1 Markov chains are used to simulate surrogates of phrases of the same piece, to investigate whether in this minimalist setting we obtain (i) an exact reproduction of the original, or (ii) something that though di erent sounds a pleasant variation.

2012Conference object

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Sir Pinski Rides Again

Publication . Gomes, Maria Ivette; Pestana, Dinis; Pestana, Pedro Duarte

The iterative procedure of removing “almost everything” from a triangle ultimately leading to the Sierpinski's gasket S is well-known. But what is in fact left when almost everything has been taken out? Using the Sir Pinski's game described by Schroeder [4], we identify two dual sets of invariant points in this exquisite game, and from these we identify points left over in Sierpinski gasket. Our discussion also shows that the chaos game does not generate the Sierpinski gasket. It generates an approximation or, at most, a subset of S.

2011Conference object

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