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== Reference ==
Celestino Soddu: [[Generative Art Geometry. Logical interpretations for Generative Algorithms]]. In: [[Generative Art 2014]].

== DOI ==

== Abstract ==
This paper tries to identify the creative processes of Generative Art that brings to the
construction of dynamic procedures of transformation, generative algorithms, by
departing from interpretative logics. This construction becomes possible through a
dynamic approach to Geometry. In fact, overcoming the logic of the figures and
related rules, this approach opens to the logic of the progressive processes and to
the dynamics of transformation inside the geometric space.

This dynamic use of Geometry can be performed crossing again the revolution
operated by Brunelleschi, by Piero della Francesca and by Leonardo da Vinci. This
Renaissance revolution founds on the convergence between Art and Science and on
the discovery of the Perspective Logic.

Quoting Decio Gioseffi, "The perspective has been the first mathematical (in
systematic and univocal terms) formalization of a "physic" law indefinitely
"extensible", of general validity and general verifiability".

The perspective, also in the first geometric tools structured by Brunelleschi, is a
logical form of representation of the space that allowed, for the first time in human
culture, to represent the infinite. The Perspective performs the representation of the
infinite identifying a point of view. This means that the complexity of the space is
scientifically investigable through the subjectivity of an observer and his Logical
Interpretations. The scientific search, in fact, can follow too the same interpretative
way pointed out by the perspective. Until now, as shown by Einstein and his logical
interpretation of the universe through the theory of Relativity, together with Max
Planck and his quantum theory that is a different logical interpretation of the
universe. Both theories are useful and true, also if so in contrast one each other.
The points of view are different but the matter is the same.

Generative Art pursues this interpretative approach. And it does it redrawing its tools
starting from the main one, the Geometry. The interpretative logics, activated by
Generative Art, build parallel, multiple and progressive paths of dynamic
transformations. These are managed through algorithmic logics.

The Generative Geometry really becomes one of the main tool of Generative Art
because it is able to logically represent the interpretation of the author performing
his artworks in the endless multiplicity of the possible variations.

The act of writing Generative Algorithms is representing and investigating the existing
environment from different and progressive logical points of view, tracing the rules for
transforming it from the past into the future.

== Extended Abstract ==

== Bibtex ==

== Used References ==
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[2] Carlo L. Ragghianti, Arte, fare e vedere, Vallecchi, 1974

[3] Pavel Florenskij, La prospettiva rovesciata e altri scritti, Roma, 1983.

[4] Decio Gioseffi, Perspectiva artificialis, Istituto di storia dell'arte antica e moderna
dell'Universita' di Trieste, (Trieste, 1957)

[5] E.H. Gombrich, Art and Illusion, a Study in the Psychology of Pictorial Representation,
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[6] Eugenio Battisti, Anamorfosi, evasione e ritorno, Roma, 1981.

[7] Celestino Soddu, “L’immagine non Euclidea”, (not-Euclidean image), Gangemi
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[8] Celestino Soddu, “Un’indagine dell’idea di spazio nell’arte contemporanea”, Critica d’Arte
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[9] Celestino Soddu, Citta’ Aleatorie, Masson publisher, 1989

[10] E. Panofsky, La prospettiva come "forma simbolica", Milano, Feltrinelli, 1985

[11] Celestino Soddu, Enrica Colabella, Il progetto ambientale di morfogenesi, Progetto
Leonardo, 1992

[12] Decio Gioseffi, Introduction to "Logica e Forma", seminar at Politecnico di Milano
organized by Generative Design Lab, 1999

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pagg.48-74, 1981

[14] Paolo Alberto Rossi, La scienza nascosta, analisi delle architetture e pitture del gruppo
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[16] Celestino Soddu, "Generative Design / Visionary Variations - Morphogenetic processes
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36, Number 3/4, Ghent, Belgium 2004

[17] Jurgis Baltrusaitis, Anamorfosi o magia artificiale degli effetti meravigliosi, Adelphi,
1969

[18] C. Soddu, "⎀⊾⣂䪗䘬⺢䫹䓇ㆸ学孉㱽" (Generative Design), article in the magazine
"Architect", December 2004, China.

[19] C. Soddu, “Milano, Visionary Variations”, Gangemi Publisher, Roma, May 2005.

[20] C.Soddu, “Generative Art in Visionary Variations”, “Art+Math=X” proceedings,
University of Colorado, Boulder, 2005.

[21] C.Soddu, “Visionary Variations in Generative Architectural Design”, article in Chepos
magazine number 003, TU/e, Eindhoven 2005.

[22] C.Soddu, E.Colabella, “A Univesal Mother Tongue”, Leonardo Electronic Almanac
Volume 13, Number 8, August 2005

[23] Sergej M. Ejzenstein, “Piranesi o la fludita’ delle forme”, Critica d’Arte magazine by
C.L.Ragghianti, n.16, 1988

[24] C.Soddu, "Gencities and Visionary Worlds" in "Generative Art 2005", proceedings of
the International Conference GA2004, Aleadesign, 2005

[25] Manfredo Tafuri, La sfera ed il Labirinto, Einaudi 1997

[26] Rudolf Wittkower, Idea e immagine, 1992, Einaudi

[27] Rudolf Wittkower, Arte e architettura, 2005, Einaudi

[28] Rudolf Wittkower, Principi architettonici nell'eta' dell’Umanesimo, Einaudi - 2007

[29] C.Soddu, "Perspective, a visionary process. The main generative road for crossing
dimensions", NNJ, Springer Publ, 2010.

[30] C.Soddu, E. Colabella, “Natural Codeness for Artificial Uniqueness”. proceedings of the
1st International conference of Sustainable Intelligent Manufactoring, Leiria, Portugal, 2011

[31] C.Soddu, “Baroc Generative Algorytms”, proceedings of XIV Generative Art
Conference, GA2011, Domus Argenia Pub. 2011, ISBN 978-88-9610-145

[32] C.Soddu, “Generative Design”, article in GASATHJ, Generative Art Science and
Technology hard Journal, issue #1, 2012

[33] C.Soddu, “Logics of Imagination. Generative Art performs the Artist Style as Executable
Process”, proceedings of XV Generative Art Conference, GA2012, Domus Argenia Pub.
2012, ISBN 978-88-96610-18-3

== Links ==
=== Full Text ===
http://www.generativeart.com/GA2014_proceedings.pdf#page=11

[[intern file]]

=== Sonstige Links ===

Generative Art Geometry. Logical interpretations for Generative Algorithms - Versionsgeschichte

Gbachelier: Die Seite wurde neu angelegt: „== Reference == Celestino Soddu: Generative Art Geometry. Logical interpretations for Generative Algorithms. In: Generative Art 2014. == DOI == == A…“