From Canvas to Music: Mathematics as a Tool for the Composition of Jacksontime

New Multimedia Technologies as Tools for a Modern Approach to Scientific Communication and Teaching of Mathematical Sciences

“…In particular, Chiara de Fabritiis together with Maestro Davide Amodio (Conservatorio Benedetto Marcello, Venezia) made a large use of graphic programs like Inkscape to deal with the different forms (coloured regions, brush strokes, curves, dots) that appear in "Summertime n. 9", a painting by Jackson Pollock owned by the Tate Gallery of London. After creating a reference frame on the canvas, we used a technique due to Filchakov to compute the most relevant coefficients of the transformations (under the form of power series) that map the first region of each colour (red, yellow, and blue) to the following ones (see Figure 3), while we used a frequency principle to deal with curves and dots that were "translated" in percussions [5]. Using Geogebra, a 3D plot and a spreadsheet, we applied an analogous approach to study Giacomo Leopardi's poem "L'infinito".…”

“…In the last few years, research in mathematics education ( [2], [4], [5]) highlighted the potentialities of e-learning environments and digital resources in supporting the teaching/learning processes at the university level: for example, they are an essential tool to face the large number of students per teacher and the small number of hours per course, to reduce the heterogeneity of freshmen background and to overcome the difficulty due to the impossibility of a close relationship between lecturer and learner.…”