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Painting by the Numbers: a Porter Postscript
Painting by the Numbers: A Porter Postscript Chris Bartlett Art Department Towson University 8000 York Road Towson, MD, 21252, USA. E-mail: [email protected] Abstract At the 2005 Bridges conference the author presented a paper titled, “Fairfield Porter’s Secret Geometry”. Porter (1907-1975), an important American painter, is known for his “naturalness” and seems to eschew any system of proportioning. This paper briefly traces other influences on Porter’s use of geometry in art and offers an analysis of two more of his paintings to reveal detailed and sophisticated geometric structures based on the Golden Ratio and Dynamic Symmetry. Introduction Artists throughout history have sought a key to beauty in proportioning systems in composition, a procedural method for compositional structure. Starting in the late 19th century there was a general resurgence of interest in geometrical structure as a basis for painting. Artists were researching aids to producing analogous and self-similar areas and repetitions of ratios in assigning the elements of a painting. In the 1920’s in America compositional methods gained new popularity fueled by Matila Ghyka and Jay Hambidge such that Milton Brown was prompted to title a critical article in the Magazine of Art, “Twentieth Century Nostrums: Pseudo-Scientific Theory in American Painting”. [1] More recently there have been growing circles criticizing the hegemony of the Golden Mean as a universal aesthetic panacea. [2] The principle of beauty underlining the application of the Golden Ratio and Dynamic Symmetry proportioning in a composition is not irrefutable, but what seems like a more useful exercise than to debate research in perception of elegant proportion is to look at the works of artists who seem to have fallen under its spell. -
BERNARDINO LUINI Catalogo Generale Delle Opere
CRISTINA QUATTRINI BERNARDINO LUINI Catalogo generale delle opere ALLEMANDI Sommario Abbreviazioni 7 1. Fortune e sfortune di Bernardino Luini 27 2. La questione degli esordi ALPE Archivio dei Luoghi Pii Elemosinieri, Milano, Azienda di Servizi alla Persona «Golgi-Redaelli» e del soggiorno in Veneto AOMMi Archivio dell’Ospedale Maggiore di Milano 35 3. Milano nel secondo decennio APOFMTo Archivio della Curia Provinciale OFM di Torino del Cinquecento ASAB Archivio Storico dell’Accademia di Brera di Milano ASBo Archivio di Stato di Bobbio 61 4. Le grandi commissioni ASCAMi Archivio Storico della Curia Arcivescovile di Milano degli anni 1519-1525 ASCMi Archivio Storico Civico di Milano 77 5. 1525-1532. Gli ultimi anni ASCo Archivio di Stato di Como ASDCo Archivio Storico Diocesano di Como ASMi Archivio di Stato di Milano 89 Tavole ASMLe Archivio di San Magno a Legnano, Milano ASS Archivio Storico del Santuario di Saronno, Varese Le opere ASTi Archivio di Stato del Cantone Ticino, Lugano 125 Dipinti IAMA Istituto di Assistenza Minori e Anziani di Milano Sopr. BSAE Mi Ex Soprintendenza per i Beni storici artistici ed etnoantropologici per le province 413 Dipinti dubbi, irreperibili o espunti di Milano, Bergamo, Como, Lecco, Lodi, Monza e Brianza, Pavia, Sondrio e Varese, 421 Alcune copie da originali perduti ora Soprintendenza Archeologia, belle arti e paesaggio per la città metropolitana di Milano e Soprintendenza Archeologia, belle arti e paesaggio per le province di Como, Lecco, e derivazioni da Bernardino Luini Monza-Brianza, Pavia, Monza e Varese. 429 Disegni 465 Opere perdute f. foglio rip. riprodotto 471 Regesto di Bernardino Luini s.d. -
Francesco Maria Ricchino Fra Gli “Inclassificabili” Penguin, 1958) Trad.It
DOI: 10.17401/STUDIERICERCHE-1/2017-BALESTRERI rancesco Maria Ricchino (1584-1658), Fprogetti milanesi fra storia e storiografia (1) Per il cognome ci si uniforma agli studi più recenti che hanno preferito Ricchino a Richini o Ricchini perché è il più usato nei ISABELLA BALESTRERI documenti autografi; per la citazione: Luciano Patetta, “Il cor- pus di disegni di Francesco Maria Richini: autografi, prodotti Politecnico di Milano della bottega, repliche, copie”, in I disegni d’archivio negli studi di storia dell’architettura, a cura di Giancarlo Alisio, Gaetana Cantone, Cesare De Seta, Maria Luisa Scalvini, Napoli 12-14 giugno 1991 (Napoli, Electa Napoli, 1994), 51-57. (2) Rudolf Wittkower, Art and Architecture 1600-1750 (London, Francesco Maria Ricchino fra gli “inclassificabili” Penguin, 1958) trad.it. (Torino, Einaudi, 1972), 99; Aurora Scot- Francesco Maria Ricchino è stato il “dominatore” della scena milanese nella pri- ti Tosini, “Lo Stato di Milano”, in Storia dell’architettura italia- na. Il Seicento, a cura di Aurora Scotti Tosini, (Milano: Electa, ma metà del ‘600: gli studiosi sono tutti concordi nel riconoscere il suo contribu- (1) 2003), 424-469. to, in termini di quantità e varietà di opere, edifici costruiti, disegni, documenti. (3) Claudia Conforti, La città del tardo Rinascimento (Roma-Ba- È giustamente molto nota l’espressione di Rudolf Wittkower che potenzialmen- ri: Editori Laterza, 2005), 4. te lo vide come “il più fantasioso e il più dotato architetto italiano dell’inizio del (4) Per inquadrare la questione del rapporto con la categoria Seicento” e Aurora Scotti più di recente ha scelto di indicarlo come il “maggior critica del Manierismo si veda ad esempio Stefano Della Torre, (2) “L’archivio edificato dell’architettura milanese”, in Gabriella Ca- architetto del Seicento lombardo”. -
Proceedings 9Th Arqueológica 2.0 & 3Rd Geores
Proceedings of the joint international event 9th ARQUEOLÓGICA 2.0 & 3rd GEORES, Valencia (Spain). 26–28 April 2021 Received: 27/11/2020 Accepted: 17/03/2021 DOI: https://doi.org/10.4995/Arqueologica9.2021.12104 BIM INTEROPERABILITY: OPEN BIM-BASED WORKFLOW FOR HERITAGE BUILDING INFORMATION MODELLING (HBIM). A MULTIDISCIPLINARY APPROACH BASED ON ADVANCED 3D TOOLS AND EXCHANGE FORMATS Jacopo Alberto Boninia, Alessandro Mandellib, Stefano Marco de Gennaroc, Fabrizio Banfib,* a AB Studio Archiettura, 20156 Milan, Italy. [email protected] b Department of Architecture, Built Environment and Construction Engineering (DABC), Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy. [email protected]; [email protected] c Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy. [email protected] Abstract: In recent years we have witnessed how technology applied to built heritage has exponentially changed the daily practices of the various experts involved in the life cycle of buildings. The techniques of representation of historical architecture have been able to make use of new 3D survey tools as well as research methods capable of managing a large amount of data while improving the level of information (LOI) and accuracy of the surveyed artefacts. On the other hand, professionals still must make use of many exchange formats to share their digital representations (3D, 2D) and analysis. For this reason, this paper describes the research approach followed to obtain “standard” architectural representations of a heritage building in the Cultural Heritage domain. The word “standard” is used in its original meaning: “something established by authority, custom, or general consent as a model or example” (Collins Dictionary). -
Milano-100-Lieux-A-Visiter.Pdf
Comune di Milano Touring Club Italiano Settore Politiche del Turismo Corso Italia, 10 e Marketing territoriale 20122 Milano via Dogana, 2 Direzione Centro Studi 20121 Milano Maria-Chiara Minciaroni Direttore Matteo Montebelli Massimiliano Taveggia Massimiliano Vavassori Jacopo Zurlo Servizio Sviluppo e Monitoraggio del Turismo Sergio Daneluzzi Servizio Digital e Web Marketing Patrizia Bertocchi www.turismo.milano.it Milan Progetto grafico Crediti fotografici Alessandro Gandini, Milka Gandini Arcidiocesi di Milano; Mauro Colella; Gandini&Rendina grafica e pubblicità srl Comune di Milano (Galleria d’Arte Moderna, Biblioteca Comunale Centrale “Palazzo Impaginazione e digitalizzazione Sormani”); R. Longoni; Giorgio Majno; Gandini&Rendina grafica e pubblicità srl Franco Mascolo; Museo Poldi Pezzoli; Icone e mappe Navigli Lombardi s.c.a.r.l.; Andrea Scuratti; Gandini&Rendina grafica e pubblicità srl Václav Šedý; Veneranda Biblioteca Ambrosiana; VRWAY Communication - Giuseppe Pennisi Copertina Comune di Milano LIEUX A VISITER 100 LIEUX A VISITER THEMES Bibliothèques Parcs et jardins Monuments historiques Places Edifices religieux Portes Installations sportives Points de vue panoramiques Monuments de l’Antiquité Espaces d’expositions Musées Théâtres et auditoriums Canaux Villas Palais Sites remarquables signalés par le Touring Club Italiano www.touringclub.it 100 LIEUX A VISITER THEMES Bibliothèques Edifices religieux Palazzo dell’Ambrosiana - Biblioteca e Pinacoteca Duomo di Milano Ca’ Granda Università degli Studi di Milano Chiesa di Santa Maria Annunciata in Camposanto Palazzo Moriggia Museo del Risorgimento (Palazzo della Veneranda Fabbrica) Castello Sforzesco Chiesa di Sant’Alessandro (Piazza Sant’Alessandro) Palazzo dell’Arte Chiesa di Santa Maria presso San Satiro Museo Civico di Storia Naturale Chiesa di Santa Maria dei Miracoli Conservatorio di Musica “G. -
Milano È Una Torta Visite Guidate Con Il Naso All’Insù (Accompagnati Dalla Storica Dell’Arte Marica Magni)
Cral Dipendenti Politecnico Milano è una torta Visite guidate con il naso all’insù (accompagnati dalla storica dell’arte Marica Magni) Immaginiamo Milano come una torta a molti strati e molti sapori, anche contrastanti. Tagliamola a fette seguendo le delimitazioni degli antichi sestieri per raccontare la storia della nostra città, dei suoi palazzi e monumenti, seguendo l’allargarsi del territorio urbano nel tempo e nello spazio, dal centro alla periferia. Giovedì, 24 settembre, ore 17.15 Prima fetta: Il Sestiere di Porta Vercellina Dal Cordusio alla basilica di Santa Maria delle Grazie, passando per il palazzo dell’Ambrosiana, piazza Affari, la basilica di Sant’Ambrogio, l’Università Cattolica, San Vittore al Corpo, la Casa degli Atellani e il palazzo delle Stelline. Giovedì, 8 ottobre, ore 17.15 Seconda fetta: Il Sestiere di Porta Ticinese Dal Duomo alla Darsena, lungo la direttrice di via Torino e corso di Porta Ticinese: Santa Maria presso San Satiro, il Tempio Civico di San Sebastiano, San Giorgio al Palazzo, San Sisto, il Carrobbio, San Lorenzo alle Colonne, Sant’Eustorgio. Giovedì, 22 ottobre, ore 17.15 Terza fetta: Il Sestiere di Porta Romana Dal Duomo alla Rotonda della Besana partendo dai resti di San Giovanni in Conca, chiesa di Sant’Alessandro, Torre Velasca, basilica di San Nazzaro e Università Statale, San Bernardino alle Ossa e Santo Stefano, palazzo Sormani, chiesa dei SS. Paolo e Barnaba, Santa Maria della Pace e l’Umanitaria. Giovedì, 5 novembre, ore 17.15 Quarta fetta: Il Sestiere di Porta Orientale Dal Duomo, lungo corso Vittorio Emanuele, fino ai Bastioni di Porta Venezia: San Carlo al Corso, il Quadrilatero della Moda, Casa Fontana-Silvestri, palazzo Serbelloni, palazzo del Senato, Villa Reale e Giardini Pubblici, i palazzi Castiglioni, Bovara e Rocca-Saporiti. -
Influences of the Ideas of Jay Hambidge on Art and Design
Computers Math. Appltc. Vol. 17, No. 4-6, pp. 1001-1008, 1989 0097-4943/89 $3.00+0.00 Printed in Great Britain. All rights reserved Copyright © 1989 Pergamon Press plc INFLUENCES OF THE IDEAS OF JAY HAMBIDGE ON ART AND DESIGN H. J. McWmNNm Department of Design, University of Maryland, College Park, MD 20742, U.S.A. AImtraet--The system of dynamic symmetry, as an approach to decision-making in design, by Jay Hambidge in the early 1920s had a strong influence on industrial design as well as upon the work of painters. This paper will review the design theories of Jay Hambidge and dynamic symmetry in terms of the use of proportions in design which are humanistically based upon the proportions of the human body. Recent research in the general area known as the golden section hypothesis will be reviewed as a means of justification not only for Hambidge's theory of proportions in design but as a validation for recent ideas in design, especially those of Robert Venturi. The paper will demonstrate the utility of studies from the behaviorial sciences for questions of design history as well as for present-day design theory and practice. The work of contemporary artists and designers will be shown to demonstrate that these ideas, the golden section and dynamic symmetry, while popular in the 1920s, have a renewed sense of relevance to current ideas and approaches in design theory. The influence upon industrial design, while it may not be clear as say the influence of dynamic symmetry or the work of Bellows or Rothko, is nevertheless also quite clear. -
Aesthetical Issues of Leonardo Da Vinci's and Pablo Picasso's
heritage Article Aesthetical Issues of Leonardo Da Vinci’s and Pablo Picasso’s Paintings with Stochastic Evaluation G.-Fivos Sargentis * , Panayiotis Dimitriadis and Demetris Koutsoyiannis Laboratory of Hydrology and Water Resources Development, School of Civil Engineering, National Technical University of Athens, Heroon Polytechneiou 9, 157 80 Zographou, Greece; [email protected] (P.D.); [email protected] (D.K.) * Correspondence: fi[email protected] Received: 7 April 2020; Accepted: 21 April 2020; Published: 25 April 2020 Abstract: A physical process is characterized as complex when it is difficult to analyze or explain in a simple way. The complexity within an art painting is expected to be high, possibly comparable to that of nature. Therefore, constructions of artists (e.g., paintings, music, literature, etc.) are expected to be also of high complexity since they are produced by numerous human (e.g., logic, instinct, emotions, etc.) and non-human (e.g., quality of paints, paper, tools, etc.) processes interacting with each other in a complex manner. The result of the interaction among various processes is not a white-noise behavior, but one where clusters of high or low values of quantified attributes appear in a non-predictive manner, thus highly increasing the uncertainty and the variability. In this work, we analyze stochastic patterns in terms of the dependence structure of art paintings of Da Vinci and Picasso with a stochastic 2D tool and investigate the similarities or differences among the artworks. Keywords: aesthetic of art paintings; stochastic analysis of images; Leonardo Da Vinci; Pablo Picasso 1. Introduction The meaning of beauty is linked to the evolution of human civilization, and the analysis of the connection between the observer and the beauty in art and nature has always been of high interest in both philosophy and science. -
2017 Ricchino Aistarch.Pdf
Edizioni Caracol Studi e Ricerche di Storia dell’Architettura Rivista dell’Associazione Italiana Storici dell’Architettura anno I - 2017 NUMERO 1 Direttore Responsabile Marco Rosario Nobile Comitato scientifico Donata Battilotti, Federico Bellini, Amedeo Belluzzi, Federico Bucci, Claudia Conforti, Giovanna Curcio, Francesco Dal Co, Alessandro De Magistris, Vilma Fasoli, Adriano Ghisetti Giavarina, Anna Giannetti, Antonella Greco, Fulvio Irace, Giovanni Leoni, Costanza Roggero, Rosa Tamborrino, Alessandro Viscogliosi Capo Redattore Francesca Mattei Redazione Armando Antista, Giovanni Bellucci, Lorenzo Ciccarelli, Rosa Maria Giusto, Anna Pichetto Fratin, Monica Prencipe, Domenica Sutera Impaginazione e grafica Giovanni Bellucci Le proposte, nel rispetto delle norme editoriali, devono essere inviate all’indi- rizzo [email protected]. I saggi, valutati preventivamente dal con- siglio direttivo e dal comitato editoriale, sono valutati dai referees del comitato scientifico secondo il criterio del double blind peer review. La redazione declina ogni responsabilità per i materiali inviati in visione non espressamente richiesti. Vietata la riproduzione o duplicazione con qualsiasi mezzo. Per abbonamenti rivolgersi a [email protected] © 2017 Caracol, Palermo Edizioni Caracol s.n.c. - via Villareale, 35 - 90141 Palermo In copertina: e-mail:_ [email protected] Quartiere Le Vallette: gli edifici del settore G in costruzione nel 1960 ISSN: 2532-2699 (Archivio ATC Torino, Faldone n.1 Busta 13) ISBN: 978-88-98546-81-7 INDICE Editoriale 6 MARCO ROSARIO NOBILE Saggi Vanishing architects, shifting nations. Writing the history of Bohemian 8 DIRK DE MEYER Baroque architecture, 1880-1945 Francesco Maria Ricchino (1584-1658), 28 ISABELLA BALESTRERI progetti milanesi fra storia e storiografia L’oscuro contributo degli “inclassificabili” storici-ingegneri civili italiani 48 GIOVANNI BELLUCCI allo studio della storia dell’ingegneria e dell’architettura contemporanea Lo specchio distorto di un quartiere. -
John Sharp Spirals and the Golden Section
John Sharp Spirals and the Golden Section The author examines different types of spirals and their relationships to the Golden Section in order to provide the necessary background so that logic rather than intuition can be followed, correct value judgments be made, and new ideas can be developed. Introduction The Golden Section is a fascinating topic that continually generates new ideas. It also has a status that leads many people to assume its presence when it has no relation to a problem. It often forces a blindness to other alternatives when intuition is followed rather than logic. Mathematical inexperience may also be a cause of some of these problems. In the following, my aim is to fill in some gaps, so that correct value judgements may be made and to show how new ideas can be developed on the rich subject area of spirals and the Golden Section. Since this special issue of the NNJ is concerned with the Golden Section, I am not describing its properties unless appropriate. I shall use the symbol I to denote the Golden Section (I |1.61803 ). There are many aspects to Golden Section spirals, and much more could be written. The parts of this paper are meant to be read sequentially, and it is especially important to understand the different types of spirals in order that the following parts are seen in context. Part 1. Types of Spirals In order to understand different types of Golden Section spirals, it is necessary to be aware of the properties of different types of spirals. This section looks at spirals from that viewpoint. -
Toward How to Add an Aesthetic Image to Mathematics Education
TOWARD HOW TO ADD AN AESTHETIC IMAGE TO MATHEMATICS EDUCATION Paul Betts University of Winnipeg [email protected] Abstract: The goal of this paper is to suggest how an aesthetic image can be added to mathematics education. Calls for reform in mathematics education (e.g., National Council for Teachers of Mathematics, 1989, 2000) are premised on shifting teacher attention from an absolutist toward a social constructivist philosophy of mathematics and mathematics education. The goal of reform is success for all students of mathematics. In a previous paper, I used ideas from art education to suggest that success for all might be achieved by fostering an aesthetic image of mathematics (Betts & McNaughton, 2003). This paper continues the argument by shifting from questions of why to how. Introduction In 1989, the National Council of Teachers of Mathematics (NCTM) published an influential mathematics curriculum framework document (see National Council of Teachers of Mathematics, 1989) calling for reform in mathematics and success for all mathematics students. This call for reform is based on social constructivism as a philosophy of mathematics and mathematics education. Proponents of social constructivism, as a philosophy of mathematics, view mathematics as fallible, changing and a product of human endeavor (Ernest, 1998). For example, the genesis of mathematical knowledge is a continual cycle of conjecture and refutation, and deduction is not the logic of mathematical discovery (Lakatos, 1976). In other words, mathematical truths are socially constructed via a process of error correction. Social constructivsm as a philosophy of mathematics education is based on fostering opportunities for students to experience, discover, discuss and re-construct the socially negotiated nature of mathematics. -
An Annotated Bibliography of Books for Architecture and Mathematics
The Virtual Library An Annotated Bibliography of Books for Architecture and Mathematics ACKERMAN,JAMES S. Distance Points: Essays in Theory and Renaissance Art and Architecture. (Cambridge MA: MIT Press, 1991). Referenced in Lionel March’s article, NNJ vol. 3 no. 2. ———. Origins, Imitation, Conventions (Cambridge: The MIT Press, 2002). Reviewed by Michael Chapman in the NNJ vol. 5 no. 1. AICHER,OTL. Analogous and Digital (Berlin: Ernst & Sohn, 1994). Referenced in Marco Frascari’s article in NNJ vol. 1. ALBERTI,LEON BATTISTA. The Ten Books of Architecture, 1755. (Rpt. New York: Dover Publications, Inc., 1986). Referenced in Marco Frascari’s article in NNJ vol. 1 no. 3 and in Reza Sarghangi’s article in NNJ vol. 1. ———. On the Art of Building in Ten Books. Joseph Rykwert (Introduction), Robert Tavernor and Neil Leach, trans. (Cambridge, MA: MIT Press, 1991). Referenced in Stephen Wassell’s article in NNJ vol. 1. ALEXANDER,CHRISTOPHER. A Pattern Language (New York: Oxford University Press, 1977). Referenced in Nikos Salingaros’ article in NNJ vol. 1. ———. A Timeless Way of Building (New York: Oxford University Press, 1979). Referenced in Nikos Salingaros’ article in NNJ vol. 1. ARTMANN,BENNO. Euclid: The Creation of Mathematics (Heidelberg: Springer-Verlag, 1999). This is the long awaited book by Benno Artmann, who presented a paper on the Cloisters of Hauterive at Nexus ‘96. Reviewed by Kim Williams in NNJ vol.2. BALMAND,CECIL. Number Nine: The Search for the Sigma Code (Munich: Prestel,1999). Reviewed by Jay Kappraff in the NNJ vol. 2. BARRALLO,JAVIER (ed.). Mathematics and Design 98. Proceedings of the Second International Conference on Mathematics and Design.