Abstract
Beginning with Summertime by Jackson Pollock and arriving at the musical composition “Jacksontime” by means of mathematics involved an operation of translation in the Latin sense of traducere, “carry from one place to another”.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Etymologically speaking, from Inter, mediation, and pretium, price, in the sense of a mediator who does not deceive the parties but gives to each his due [3].
- 2.
- 3.
For a mathematical investigation of the painting, see [5].
- 4.
[10], especially chap. 4, section 2, “La lingua nel cervello”, p. 261: “The phases make no sense in themselves, but acquire meaning because our brain is constructed to decodify them, just as our eyes are constructed to analyse light, but as Moro explains, comparing language and light, we do not see light, but only the effects that it has on objects. Our language functions the same way; words do not have an intrinsic content, but when they arrive to someone’s attentive (and competent) ear, they become something, they exist” (taken from the review by Leonardo Caffo).
- 5.
See the general remarks in Kandinsky’s Point and Line to Plane [8].
References
Abbott A.: Fractals and art: In the hands of a master. Nature 439, 648–650 (2006).
Amodio D.: Dianaballo. In: Emmer M. (ed.): Matematica e cultura 2010. Springer, Milan, 261–273 (2013).
Bettini M.: Vertere. Un’antropologia della traduzione nella cultura antica. PBE, Turin (2012).
Chomsky N.: Syntactic Structures. Mouton, The Hague-Paris (1969).
{pade} Fabritiis C.: From Canvas to Music. Mathematics as a Tool for the Composition of Jackson Time. In: Emmer M. (ed.): Imagine Math 2. Springer, Milan, pp. 163–171 (2013).
Emmerling L.: Pollock. Taschen, Cologne (2010).
Hunter S.: Un maestro Americano: Jackson Pollock, 1930–1949. Mito e realtà. In: Emmer M. (ed.): Matematica e Cultura 2005. Springer, Milan, pp. 247–256 (2005).
Kandinsky W.: Punkt und Linie zu Fläche. Albert Langen, Munich (1926).
Kandinsky W.: Point and Line to Plane. Dover Publications, New York (1979).
Kandinsky W.: Concerning the Spiritual in Art. Dover Publications, New York (1977).
Jones-Smith K., Mathur H.: Fractal Analysis: Revisiting Pollock’s drip paintings. Nature 444, E9–E10 (2006).
Moro A.: Breve storia del verbo essere. Adelphi, Milan (2010).
Peiretti F.: I Frattali di Pollock, areeweb.polito.it/didattica/polymath/htmlS/Interventi/Articoli/FrattaliPollockPeiretti/FrattaliPollockPeiretti.html.
Taylor R.P., Micolich A.P., Jonas D.: Fractal analysis of Pollock’s drip paintings. Nature 399, 422 (1999).
Taylor R.P.: From Jackson Pollock to Frank Gehry. In: Emmer M. (ed.): Mathematics and Culture V. Springer, Dordrecht, pp. 237–246 (2007).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Italia
About this chapter
Cite this chapter
Amodio, D. (2013). From Pollock’s Summertime to Jacksontime. In: Emmer, M. (eds) Imagine Math 2. Springer, Milano. https://doi.org/10.1007/978-88-470-2889-0_17
Download citation
DOI: https://doi.org/10.1007/978-88-470-2889-0_17
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2888-3
Online ISBN: 978-88-470-2889-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)