The effect of bone allografts combined with bone marrow stromal cells on the healing of segmental bone defects in a sheep model

Background: The repair of large bone defects is a major orthopedic challenge because autologous bone grafts are not available in large amounts and because harvesting is often associated with donor-site morbidity. Considering that bone marrow stromal cells (BMSC) are responsible for the maintenance of bone turnover throughout life, we investigated bone repair at a site of a critically sized segmental defect in sheep tibia treated with BMSCs loaded onto allografts. The defect was created in the mid-portion of the tibial diaphysis of eight adult sheep, and the sheep were treated with ex-vivo expanded autologous BMSCs isolated from marrow aspirates and loaded onto cortical allografts (n = 4). The treated sheep were compared with control sheep that had been treated with cell-free allografts (n = 4) obtained from donors of the same breed as the receptor sheep. Results: The healing response was monitored by radiographs monthly and by computed tomography and histology at six, ten, fourteen, and eighteen weeks after surgery. For the cell-loaded allografts, union was established more rapidly at the interface between the host bone and the allograft, and the healing process was more conspicuous. Remodeling of the allograft was complete at 18 weeks in the cell-treated animals. Histologically, the marrow cavity was reestablished, with intertrabecular spaces being filled with adipose marrow and with evidence of focal hematopoiesis. Conclusions: Allografts cellularized with AOCs (allografts of osteoprogenitor cells) can generate great clinical outcomes to noncellularized allografts to consolidate, reshape, structurally and morphologically reconstruct bone and bone marrow in a relatively short period of time. These features make this strategy very attractive for clinical use in orthopedic bioengineering

Pullback exponential attractors for evolution processes in Banach spaces: properties and applications

This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its implications in the autonomous case. We now study properties of the attractors and use our theoretical results to prove the existence of pullback exponential attractors in two examples, where previous results do not apply.

A complete CMOS UWB timed-array transmitter with a 3D Vivaldi antenna array for electronic high-resolution beam spatial scanning

We present a new Ultra Wide Band (UWB) Timed- Array Transmitter System with Beamforming capability for high-resolution remote acquisition of vital signals. The system consists of four identical channels, where each is formed of a serial topology with three modules: programmable delay circuit (PDC or τ), a novel UWB 5th Gaussian Derivative order pulse generator circuit (PG), and a planar Vivaldi antenna. The circuit was designed using 0.18μm CMOS standard process and the planar antenna array was designed with filmconductor on Rogers RO3206 substrate. Spice simulations results showed the pulse generation with 104 mVpp amplitude and 500 ps width. The power consumption is 543 μW, and energy consumption 0.27 pJ per pulse using a 2V power supply at a pulse repetition rate (PRR) of 100 MHz. Electromagnetic simulations results, using CST Microwave (MW) Studio 2011, showed the main lobe radiation with a gain maximum of 13.2 dB, 35.5º x 36.7º angular width, and a beam steering between 17º and -11º for azimuthal (θ) angles and 17º and -18º for elevation (φ) angles at the center frequency of 6 GHz

Intersections on moduli spaces of curves

We present a new approach to perform calculations with the certain standard classes in cohomology of the moduli spaces of curves. It is based on an important lemma of Ionel relating the intersection theoriy of the moduli space of curves and that of the space of admissible coverings. As particular results, we obtain expressions of Hurwitz numbers in terms of the intersections in the tautological ring, expressions of the simplest intersection numbers in terms of Hurwitz numbers, an algorithm of calculation of certain correlators which are the subject of the Witten conjecture, an improved algorithm for intersections related to the Boussinesq hierarchy, expressions for the Hodge integrals over two-pointed ramification cycles, cut-and-join type equations for a large class of intersection numbers, etc.

A tuple space implementation for large-scale infrastructures

Coordinating activities in a distributed system is an open research topic. Several models have been proposed to achieve this purpose such as message passing, publish/subscribe, workflows or tuple spaces. We have focused on the latter model, trying to overcome some of its disadvantages. In particular we have applied spatial database techniques to tuple spaces in order to increase their performance when handling a large number of tuples. Moreover, we have studied how structured peer to peer approaches can be applied to better distribute tuples on large networks. Using some of these result, we have developed a tuple space implementation for the Globus Toolkit that can be used by Grid applications as a coordination service. The development of such a service has been quite challenging due to the limitations imposed by XML serialization that have heavily influenced its design. Nevertheless, we were able to complete its implementation and use it to implement two different types of test applications: a completely parallelizable one and a plasma simulation that is not completely parallelizable. Using this last application we have compared the performance of our service against MPI. Finally, we have developed and tested a simple workflow in order to show the versatility of our service.

Fixed point theorems in partially ordered spaces and aplications

[ES]Recientemente, en la Teoría del punto fijo, han aparecido muchos resultados que obtienen condiciones suficientes para la existencia de un punto fijo si trabajamos con aplicaciones en un conjunto dotado de un orden parcial. Generalmente, estos resultados combinan dos teoremas del punto fijo fundamentales: el Teorema de la contracción de Banach y el Teorema de Knaster-Tarski.

Construction of polynomial spline spaces over quadtree and octree T-meshes

[EN]We present a new strategy for constructing tensor product spline spaces over quadtree and octree T-meshes. The proposed technique includes some simple rules for inferring local knot vectors to define spline blending functions. These rules allow to obtain for a given T-mesh a set of cubic spline functions that span a space with nice properties: it can reproduce cubic polynomials, the functions are C2-continuous, linearly independent, and spaces spanned by nested T-meshes are also nested. In order to span spaces with these properties applying the proposed rules, the T-mesh should fulfill the only requirement of being a 0-balanced quadtree or octree. ..

A simple strategy for defining polynomial spline spaces over hierarchical T-meses

[EN]We present a new strategy for constructing spline spaces over hierarchical T-meshes with quad- and octree subdivision scheme. The proposed technique includes some simple rules for inferring local knot vectors to define C 2 -continuous cubic tensor product spline blending functions. Our conjecture is that these rules allow to obtain, for a given T-mesh, a set of linearly independent spline functions with the property that spaces spanned by nested T-meshes are also nested, and therefore, the functions can reproduce cubic polynomials. In order to span spaces with these properties applying the proposed rules, the T-mesh should fulfill the only requirement of being a 0- balanced mesh...

Il passato nell’epoca della sua (ri)producibilità digitale. Torino 1943 - 45. Metodologia della ricerca con tecnologie informatiche. Sistema storico-territoriale di informazione multimediale

Se il lavoro dello storico è capire il passato come è stato compreso dalla gente che lo ha vissuto, allora forse non è azzardato pensare che sia anche necessario comunicare i risultati delle ricerche con strumenti propri che appartengono a un'epoca e che influenzano la mentalità di chi in quell'epoca vive. Emergenti tecnologie, specialmente nell’area della multimedialità come la realtà virtuale, permettono agli storici di comunicare l’esperienza del passato in più sensi. In che modo la storia collabora con le tecnologie informatiche soffermandosi sulla possibilità di fare ricostruzioni storiche virtuali, con relativi esempi e recensioni? Quello che maggiormente preoccupa gli storici è se una ricostruzione di un fatto passato vissuto attraverso la sua ricreazione in pixels sia un metodo di conoscenza della storia che possa essere considerato valido. Ovvero l'emozione che la navigazione in una realtà 3D può suscitare, è un mezzo in grado di trasmettere conoscenza? O forse l'idea che abbiamo del passato e del suo studio viene sottilmente cambiato nel momento in cui lo si divulga attraverso la grafica 3D? Da tempo però la disciplina ha cominciato a fare i conti con questa situazione, costretta soprattutto dall'invasività di questo tipo di media, dalla spettacolarizzazione del passato e da una divulgazione del passato parziale e antiscientifica. In un mondo post letterario bisogna cominciare a pensare che la cultura visuale nella quale siamo immersi sta cambiando il nostro rapporto con il passato: non per questo le conoscenze maturate fino ad oggi sono false, ma è necessario riconoscere che esiste più di una verità storica, a volte scritta a volte visuale. Il computer è diventato una piattaforma onnipresente per la rappresentazione e diffusione dell’informazione. I metodi di interazione e rappresentazione stanno evolvendo di continuo. Ed è su questi due binari che è si muove l’offerta delle tecnologie informatiche al servizio della storia. Lo scopo di questa tesi è proprio quello di esplorare, attraverso l’utilizzo e la sperimentazione di diversi strumenti e tecnologie informatiche, come si può raccontare efficacemente il passato attraverso oggetti tridimensionali e gli ambienti virtuali, e come, nel loro essere elementi caratterizzanti di comunicazione, in che modo possono collaborare, in questo caso particolare, con la disciplina storica. La presente ricerca ricostruisce alcune linee di storia delle principali fabbriche attive a Torino durante la seconda guerra mondiale, ricordando stretta relazione che esiste tra strutture ed individui e in questa città in particolare tra fabbrica e movimento operaio, è inevitabile addentrarsi nelle vicende del movimento operaio torinese che nel periodo della lotta di Liberazione in città fu un soggetto politico e sociale di primo rilievo. Nella città, intesa come entità biologica coinvolta nella guerra, la fabbrica (o le fabbriche) diventa il nucleo concettuale attraverso il quale leggere la città: sono le fabbriche gli obiettivi principali dei bombardamenti ed è nelle fabbriche che si combatte una guerra di liberazione tra classe operaia e autorità, di fabbrica e cittadine. La fabbrica diventa il luogo di "usurpazione del potere" di cui parla Weber, il palcoscenico in cui si tengono i diversi episodi della guerra: scioperi, deportazioni, occupazioni .... Il modello della città qui rappresentata non è una semplice visualizzazione ma un sistema informativo dove la realtà modellata è rappresentata da oggetti, che fanno da teatro allo svolgimento di avvenimenti con una precisa collocazione cronologica, al cui interno è possibile effettuare operazioni di selezione di render statici (immagini), di filmati precalcolati (animazioni) e di scenari navigabili interattivamente oltre ad attività di ricerca di fonti bibliografiche e commenti di studiosi segnatamente legati all'evento in oggetto. Obiettivo di questo lavoro è far interagire, attraverso diversi progetti, le discipline storiche e l’informatica, nelle diverse opportunità tecnologiche che questa presenta. Le possibilità di ricostruzione offerte dal 3D vengono così messe a servizio della ricerca, offrendo una visione integrale in grado di avvicinarci alla realtà dell’epoca presa in considerazione e convogliando in un’unica piattaforma espositiva tutti i risultati. Divulgazione Progetto Mappa Informativa Multimediale Torino 1945 Sul piano pratico il progetto prevede una interfaccia navigabile (tecnologia Flash) che rappresenti la pianta della città dell’epoca, attraverso la quale sia possibile avere una visione dei luoghi e dei tempi in cui la Liberazione prese forma, sia a livello concettuale, sia a livello pratico. Questo intreccio di coordinate nello spazio e nel tempo non solo migliora la comprensione dei fenomeni, ma crea un maggiore interesse sull’argomento attraverso l’utilizzo di strumenti divulgativi di grande efficacia (e appeal) senza perdere di vista la necessità di valicare le tesi storiche proponendosi come piattaforma didattica. Un tale contesto richiede uno studio approfondito degli eventi storici al fine di ricostruire con chiarezza una mappa della città che sia precisa sia topograficamente sia a livello di navigazione multimediale. La preparazione della cartina deve seguire gli standard del momento, perciò le soluzioni informatiche utilizzate sono quelle fornite da Adobe Illustrator per la realizzazione della topografia, e da Macromedia Flash per la creazione di un’interfaccia di navigazione. La base dei dati descrittivi è ovviamente consultabile essendo contenuta nel supporto media e totalmente annotata nella bibliografia. È il continuo evolvere delle tecnologie d'informazione e la massiccia diffusione dell’uso dei computer che ci porta a un cambiamento sostanziale nello studio e nell’apprendimento storico; le strutture accademiche e gli operatori economici hanno fatto propria la richiesta che giunge dall'utenza (insegnanti, studenti, operatori dei Beni Culturali) di una maggiore diffusione della conoscenza storica attraverso la sua rappresentazione informatizzata. Sul fronte didattico la ricostruzione di una realtà storica attraverso strumenti informatici consente anche ai non-storici di toccare con mano quelle che sono le problematiche della ricerca quali fonti mancanti, buchi della cronologia e valutazione della veridicità dei fatti attraverso prove. Le tecnologie informatiche permettono una visione completa, unitaria ed esauriente del passato, convogliando tutte le informazioni su un'unica piattaforma, permettendo anche a chi non è specializzato di comprendere immediatamente di cosa si parla. Il miglior libro di storia, per sua natura, non può farlo in quanto divide e organizza le notizie in modo diverso. In questo modo agli studenti viene data l'opportunità di apprendere tramite una rappresentazione diversa rispetto a quelle a cui sono abituati. La premessa centrale del progetto è che i risultati nell'apprendimento degli studenti possono essere migliorati se un concetto o un contenuto viene comunicato attraverso più canali di espressione, nel nostro caso attraverso un testo, immagini e un oggetto multimediale. Didattica La Conceria Fiorio è uno dei luoghi-simbolo della Resistenza torinese. Il progetto è una ricostruzione in realtà virtuale della Conceria Fiorio di Torino. La ricostruzione serve a arricchire la cultura storica sia a chi la produce, attraverso una ricerca accurata delle fonti, sia a chi può poi usufruirne, soprattutto i giovani, che, attratti dall’aspetto ludico della ricostruzione, apprendono con più facilità. La costruzione di un manufatto in 3D fornisce agli studenti le basi per riconoscere ed esprimere la giusta relazione fra il modello e l’oggetto storico. Le fasi di lavoro attraverso cui si è giunti alla ricostruzione in 3D della Conceria: . una ricerca storica approfondita, basata sulle fonti, che possono essere documenti degli archivi o scavi archeologici, fonti iconografiche, cartografiche, ecc.; . La modellazione degli edifici sulla base delle ricerche storiche, per fornire la struttura geometrica poligonale che permetta la navigazione tridimensionale; . La realizzazione, attraverso gli strumenti della computer graphic della navigazione in 3D. Unreal Technology è il nome dato al motore grafico utilizzato in numerosi videogiochi commerciali. Una delle caratteristiche fondamentali di tale prodotto è quella di avere uno strumento chiamato Unreal editor con cui è possibile costruire mondi virtuali, e che è quello utilizzato per questo progetto. UnrealEd (Ued) è il software per creare livelli per Unreal e i giochi basati sul motore di Unreal. E’ stata utilizzata la versione gratuita dell’editor. Il risultato finale del progetto è un ambiente virtuale navigabile raffigurante una ricostruzione accurata della Conceria Fiorio ai tempi della Resistenza. L’utente può visitare l’edificio e visualizzare informazioni specifiche su alcuni punti di interesse. La navigazione viene effettuata in prima persona, un processo di “spettacolarizzazione” degli ambienti visitati attraverso un arredamento consono permette all'utente una maggiore immersività rendendo l’ambiente più credibile e immediatamente codificabile. L’architettura Unreal Technology ha permesso di ottenere un buon risultato in un tempo brevissimo, senza che fossero necessari interventi di programmazione. Questo motore è, quindi, particolarmente adatto alla realizzazione rapida di prototipi di una discreta qualità, La presenza di un certo numero di bug lo rende, però, in parte inaffidabile. Utilizzare un editor da videogame per questa ricostruzione auspica la possibilità di un suo impiego nella didattica, quello che le simulazioni in 3D permettono nel caso specifico è di permettere agli studenti di sperimentare il lavoro della ricostruzione storica, con tutti i problemi che lo storico deve affrontare nel ricreare il passato. Questo lavoro vuole essere per gli storici una esperienza nella direzione della creazione di un repertorio espressivo più ampio, che includa gli ambienti tridimensionali. Il rischio di impiegare del tempo per imparare come funziona questa tecnologia per generare spazi virtuali rende scettici quanti si impegnano nell'insegnamento, ma le esperienze di progetti sviluppati, soprattutto all’estero, servono a capire che sono un buon investimento. Il fatto che una software house, che crea un videogame di grande successo di pubblico, includa nel suo prodotto, una serie di strumenti che consentano all'utente la creazione di mondi propri in cui giocare, è sintomatico che l'alfabetizzazione informatica degli utenti medi sta crescendo sempre più rapidamente e che l'utilizzo di un editor come Unreal Engine sarà in futuro una attività alla portata di un pubblico sempre più vasto. Questo ci mette nelle condizioni di progettare moduli di insegnamento più immersivi, in cui l'esperienza della ricerca e della ricostruzione del passato si intreccino con lo studio più tradizionale degli avvenimenti di una certa epoca. I mondi virtuali interattivi vengono spesso definiti come la forma culturale chiave del XXI secolo, come il cinema lo è stato per il XX. Lo scopo di questo lavoro è stato quello di suggerire che vi sono grosse opportunità per gli storici impiegando gli oggetti e le ambientazioni in 3D, e che essi devono coglierle. Si consideri il fatto che l’estetica abbia un effetto sull’epistemologia. O almeno sulla forma che i risultati delle ricerche storiche assumono nel momento in cui devono essere diffuse. Un’analisi storica fatta in maniera superficiale o con presupposti errati può comunque essere diffusa e avere credito in numerosi ambienti se diffusa con mezzi accattivanti e moderni. Ecco perchè non conviene seppellire un buon lavoro in qualche biblioteca, in attesa che qualcuno lo scopra. Ecco perchè gli storici non devono ignorare il 3D. La nostra capacità, come studiosi e studenti, di percepire idee ed orientamenti importanti dipende spesso dai metodi che impieghiamo per rappresentare i dati e l’evidenza. Perché gli storici possano ottenere il beneficio che il 3D porta con sè, tuttavia, devono sviluppare un’agenda di ricerca volta ad accertarsi che il 3D sostenga i loro obiettivi di ricercatori e insegnanti. Una ricostruzione storica può essere molto utile dal punto di vista educativo non sono da chi la visita ma, anche da chi la realizza. La fase di ricerca necessaria per la ricostruzione non può fare altro che aumentare il background culturale dello sviluppatore. Conclusioni La cosa più importante è stata la possibilità di fare esperienze nell’uso di mezzi di comunicazione di questo genere per raccontare e far conoscere il passato. Rovesciando il paradigma conoscitivo che avevo appreso negli studi umanistici, ho cercato di desumere quelle che potremo chiamare “leggi universali” dai dati oggettivi emersi da questi esperimenti. Da punto di vista epistemologico l’informatica, con la sua capacità di gestire masse impressionanti di dati, dà agli studiosi la possibilità di formulare delle ipotesi e poi accertarle o smentirle tramite ricostruzioni e simulazioni. Il mio lavoro è andato in questa direzione, cercando conoscere e usare strumenti attuali che nel futuro avranno sempre maggiore presenza nella comunicazione (anche scientifica) e che sono i mezzi di comunicazione d’eccellenza per determinate fasce d’età (adolescenti). Volendo spingere all’estremo i termini possiamo dire che la sfida che oggi la cultura visuale pone ai metodi tradizionali del fare storia è la stessa che Erodoto e Tucidide contrapposero ai narratori di miti e leggende. Prima di Erodoto esisteva il mito, che era un mezzo perfettamente adeguato per raccontare e dare significato al passato di una tribù o di una città. In un mondo post letterario la nostra conoscenza del passato sta sottilmente mutando nel momento in cui lo vediamo rappresentato da pixel o quando le informazioni scaturiscono non da sole, ma grazie all’interattività con il mezzo. La nostra capacità come studiosi e studenti di percepire idee ed orientamenti importanti dipende spesso dai metodi che impieghiamo per rappresentare i dati e l’evidenza. Perché gli storici possano ottenere il beneficio sottinteso al 3D, tuttavia, devono sviluppare un’agenda di ricerca volta ad accertarsi che il 3D sostenga i loro obiettivi di ricercatori e insegnanti. Le esperienze raccolte nelle pagine precedenti ci portano a pensare che in un futuro non troppo lontano uno strumento come il computer sarà l’unico mezzo attraverso cui trasmettere conoscenze, e dal punto di vista didattico la sua interattività consente coinvolgimento negli studenti come nessun altro mezzo di comunicazione moderno.

Construction of polynomial spline spaces over quadtree and octree T-meshes

[EN]We present a new strategy for constructing tensor product spline spaces over quadtree and octree T-meshes. The proposed technique includes some simple rules for inferring local knot vectors to define spline blending functions. These rules allow to obtain for a given T-mesh a set of cubic spline functions that span a space with nice properties: it can reproduce cubic polynomials, the functions are C2-continuous, linearly independent, and spaces spanned by nested T-meshes are also nested. In order to span spaces with these properties applying the proposed rules, the T-mesh should fulfill the only requirement of being a 0-balanced quadtree or octree. ..

La costruzione razionale della casa. Scritti e progetti di Giuseppe Pagano

The rational construction of the house. The writings and projects of Giuseppe Pagano Description, themes and research objectives The research aims at analysing the architecture of Giuseppe Pagano, which focuses on the theme of dwelling, through the reading of 3 of his house projects. On the one hand, these projects represent “minor” works not thoroughly known by Pagano’s contemporary critics; on the other they emphasise a particular methodological approach, which serves the author to explore a theme closely linked to his theoretical thought. The house project is a key to Pagano’s research, given its ties to the socio-cultural and political conditions in which the architect was working, so that it becomes a mirror of one of his specific and theoretical path, always in a state of becoming. Pagano understands architecture as a “servant of the human being”, subject to a “utilitarian slavery” since it is a clear, essential and “modest” answer to specific human needs, free from aprioristic aesthetic and formal choices. It is a rational architecture in sensu stricto; it constitutes a perfect synthesis between cause and effect and between function and form. The house needs to accommodate these principles because it is closely intertwined with human needs and intimately linked to a specific place, climatic conditions and technical and economical possibilities. Besides, differently from his public and common masterpieces such as the Palazzo Gualino, the Istituto di Fisica and the Università Commerciale Bocconi, the house projects are representative of a precise project will, which is expressed in a more authentic way, partially freed from political influences and dogmatic preoccupations and, therefore, far from the attempt to research a specific expressive language. I believe that the house project better represents that “ingenuity”, freshness and “sincerity” that Pagano identifies with the minor architecture, thereby revealing a more authentic expression of his understanding of a project. Therefore, the thesis, by tracing the theoretical research of Pagano through the analysis of some of his designed and built works, attempts to identify a specific methodological approach to Pagano’s project, which, developed through time, achieves a certain clarity in the 1930s. In fact, this methodological approach becomes more evident in his last projects, mainly regarding the house and the urban space. These reflect the attempt to respond to the new social needs and, at the same time, they also are an expression of a freer idea of built architecture, closely linked with the place and with the human being who dwells it. The three chosen projects (Villa Colli, La Casa a struttura d’acciaio and Villa Caraccio) make Pagano facing different places, different customers and different economic and technical conditions, which, given the author’s biography, correspond to important historical and political conditions. This is the reason why the projects become apparently distant works, both linguistically and conceptually, to the point that one can define them as ”eclectic”. However, I argue that this eclecticism is actually an added value to the architectural work of Pagano, steaming from the use of a method which, having as a basis the postulate of a rational architecture as essence and logic of building, finds specific variations depending on the multiple variables to be addressed by the project. This is the methodological heritage that Pagano learns from the tradition, especially that of the rural residential architecture, defined by Pagano as a “dictionary of the building logic of man”, as an “a-stylistic background”. For Pagano this traditional architecture is a clear expression of the relationships between a theme and its development, an architectural “fact” that is resolved with purely technical and utilitarian aims and with a spontaneous development far from any aprioristic theoretical principle. Architecture, therefore, cannot be an invention for Pagano and the personal contribution of each architect has to consider his/her close relationship with the specific historical context, place and new building methods. These are basic principles in the methodological approach that drives a great deal of his research and that also permits his thought to be modern. I argue that both ongoing and new collaborations with younger protagonists of the culture and architecture of the period are significant for the development of his methodology. These encounters represent the will to spread his own understanding of the “new architecture” as well as a way of self-renewal by confronting the self with new themes and realities and by learning from his collaborators. Thesis’ outline The thesis is divided in two principal parts, each articulated in four chapters attempting to offer a new reading of the theory and work of Pagano by emphasising the central themes of the research. The first chapter is an introduction to the thesis and to the theme of the rational house, as understood and developed in its typological and technical aspects by Pagano and by other protagonists of the Italian rationalism of the 1930s. Here the attention is on two different aspects defining, according to Pagano, the house project: on the one hand, the typological renewal, aimed at defining a “standard form” as a clear and essential answer to certain needs and variables of the project leading to different formal expressions. On the other, it focuses on the building, understood as a technique to “produce” architecture, where new technologies and new materials are not merely tools but also essential elements of the architectural work. In this way the villa becomes different from the theme of the common house or from that of the minimalist house, by using rules in the choice of material and in the techniques that are every time different depending on the theme under exploration and on the contingency of place. It is also visible the rigorous rationalism that distinguishes the author's appropriation of certain themes of rural architecture. The pages of “Casabella” and the events of the contemporary Triennali form the preliminary material for the writing of this chapter given that they are primary sources to individuate projects and writings produced by Pagano and contemporary architects on this theme. These writings and projects, when compared, reconstruct the evolution of the idea of the rational house and, specifically, of the personal research of Pagano. The second part regards the reading of three of Pagano’s projects of houses as a built verification of his theories. This section constitutes the central part of the thesis since it is aimed at detecting a specific methodological approach showing a theoretical and ideological evolution expressed in the vast edited literature. The three projects that have been chosen explore the theme of the house, looking at various research themes that the author proposes and that find continuity in the affirmation of a specific rationalism, focussed on concepts such as essentiality, utility, functionality and building honesty. These concepts guide the thought and the activities of Pagano, also reflecting a social and cultural period. The projects span from the theme of the villa moderna, Villa Colli, which, inspired by the architecture of North Europe, anticipates a specific rationalism of Pagano based on rigour, simplicity and essentiality, to the theme of the common house, Casa a struttura d’acciaio, la casa del domani, which ponders on the definition of new living spaces and, moreover, on new concepts of standardisation, economical efficiency and new materials responding to the changing needs of the modern society. Finally, the third project returns to the theme of the, Villa Caraccio, revisiting it with new perspectives. These perspectives find in the solution of the open plant, in the openness to nature and landscape and in the revisiting of materials and local building systems that idea of the freed house, which express clearly a new theoretical thought. Methodology It needs to be noted that due to the lack of an official Archive of Pagano’s work, the analysis of his work has been difficult and this explains the necessity to read the articles and the drawings published in the pages of «Casabella» and «Domus». As for the projects of Villa Colli and Casa a struttura d’acciaio, parts of the original drawings have been consulted. These drawings are not published and are kept in private archives of the collaborators of Pagano. The consultation of these documents has permitted the analysis of the cited works, which have been subject to a more complete reading following the different proposed solutions, which have permitted to understand the project path. The projects are analysed thought the method of comparison and critical reading which, specifically, means graphical elaborations and analytical schemes, mostly reconstructed on the basis of original projects but, where possible, also on a photographic investigation. The focus is on the project theme which, beginning with a specific living (dwelling) typology, finds variations because of the historico-political context in which Pagano is embedded and which partially shapes his research and theoretical thought, then translated in the built work. The analysis of the work follows, beginning, where possible, from a reconstruction of the evolution of the project as elaborated on the basis of the original documents and ending on an analysis of the constructive principles and composition. This second phase employs a methodology proposed by Pagano in his article Piante di ville, which, as expected, focuses on the plant as essential tool to identify the “true practical and poetic qualities of the construction”(Pagano, «Costruzioni-Casabella», 1940, p. 2). The reading of the project is integrated with the constructive analyses related to the technical aspects of the house which, in the case of Casa a struttura d’acciaio, play an important role in the project, while in Villa Colli and in Villa Caraccio are principally linked to the choice of materials for the construction of the different architectural elements. These are nonetheless key factors in the composition of the work. Future work could extend this reading to other house projects to deepen the research that could be completed with the consultation of Archival materials, which are missing at present. Finally, in the appendix I present a critical selection of the Pagano’s writings, which recall the themes discussed and embodied by the three projects. The texts have been selected among the articles published in Casabella and in other journals, completing the reading of the project work which cannot be detached from his theoretical thought. Moving from theory to project, we follow a path that brings us to define and deepen the central theme of the thesis: rational building as the principal feature of the architectural research of Pagano, which is paraphrased in multiple ways in his designed and built works.

Max Bill in Italia . Lo spazio logico dell'architettura

I Max Bill is an intense giornata of a big fresco. An analysis of the main social, artistic and cultural events throughout the twentieth century is needed in order to trace his career through his masterpieces and architectures. Some of the faces of this hypothetical mural painting are, among others, Le Corbusier, Walter Gropius, Ernesto Nathan Rogers, Kandinskij, Klee, Mondrian, Vatongerloo, Ignazio Silone, while the backcloth is given by artistic avant-gardes, Bauhaus, International Exhibitions, CIAM, war events, reconstruction, Milan Triennali, Venice Biennali, the School of Ulm. Architect, even though more known as painter, sculptor, designer and graphic artist, Max Bill attends the Bauhaus as a student in the years 1927-1929, and from this experience derives the main features of a rational, objective, constructive and non figurative art. His research is devoted to give his art a scientific methodology: each work proceeds from the analysis of a problem to the logical and always verifiable solution of the same problem. By means of composition elements (such as rhythm, seriality, theme and its variation, harmony and dissonance), he faces, with consistent results, themes apparently very distant from each other as the project for the H.f.G. or the design for a font. Mathematics are a constant reference frame as field of certainties, order, objectivity: ‘for Bill mathematics are never confined to a simple function: they represent a climate of spiritual certainties, and also the theme of non attempted in its purest state, objectivity of the sign and of the geometrical place, and at the same time restlessness of the infinity: Limited and Unlimited ’. In almost sixty years of activity, experiencing all artistic fields, Max Bill works, projects, designs, holds conferences and exhibitions in Europe, Asia and Americas, confronting himself with the most influencing personalities of the twentieth century. In such a vast scenery, the need to limit the investigation field combined with the necessity to address and analyse the unpublished and original aspect of Bill’s relations with Italy. The original contribution of the present research regards this particular ‘geographic delimitation’; in particular, beyond the deep cultural exchanges between Bill and a series of Milanese architects, most of all with Rogers, two main projects have been addressed: the realtà nuova at Milan Triennale in 1947, and the Contemporary Art Museum in Florence in 1980. It is important to note that these projects have not been previously investigated, and the former never appears in the sources either. These works, together with the most well-known ones, such as the projects for the VI and IX Triennale, and the Swiss pavilion for the Biennale, add important details to the reference frame of the relations which took place between Zurich and Milan. Most of the occasions for exchanges took part in between the Thirties and the Fifties, years during which Bill underwent a significant period of artistic growth. He meets the Swiss progressive architects and the Paris artists from the Abstraction-Création movement, enters the CIAM, collaborates with Le Corbusier to the third volume of his Complete Works, and in Milan he works and gets confronted with the events related to post-war reconstruction. In these years Bill defines his own working methodology, attaining an artistic maturity in his work. The present research investigates the mentioned time period, despite some necessary exceptions. II The official Max Bill bibliography is naturally wide, including spreading works along with ones more devoted to analytical investigation, mainly written in German and often translated into French and English (Max Bill himself published his works in three languages). Few works have been published in Italian and, excluding the catalogue of the Parma exhibition from 1977, they cannot be considered comprehensive. Many publications are exhibition catalogues, some of which include essays written by Max Bill himself, some others bring Bill’s comments in a educational-pedagogical approach, to accompany the observer towards a full understanding of the composition processes of his art works. Bill also left a great amount of theoretical speculations to encourage a critical reading of his works in the form of books edited or written by him, and essays published in ‘Werk’, magazine of the Swiss Werkbund, and other international reviews, among which Domus and Casabella. These three reviews have been important tools of analysis, since they include tracks of some of Max Bill’s architectural works. The architectural aspect is less investigated than the plastic and pictorial ones in all the main reference manuals on the subject: Benevolo, Tafuri and Dal Co, Frampton, Allenspach consider Max Bill as an artist proceeding in his work from Bauhaus in the Ulm experience . A first filing of his works was published in 2004 in the monographic issue of the Spanish magazine 2G, together with critical essays by Karin Gimmi, Stanislaus von Moos, Arthur Rüegg and Hans Frei, and in ‘Konkrete Architektur?’, again by Hans Frei. Moreover, the monographic essay on the Atelier Haus building by Arthur Rüegg from 1997, and the DPA 17 issue of the Catalonia Polytechnic with contributions of Carlos Martì, Bruno Reichlin and Ton Salvadò, the latter publication concentrating on a few Bill’s themes and architectures. An urge to studying and going in depth in Max Bill’s works was marked in 2008 by the centenary of his birth and by a recent rediscovery of Bill as initiator of the ‘minimalist’ tradition in Swiss architecture. Bill’s heirs are both very active in promoting exhibitions, researching and publishing. Jakob Bill, Max Bill’s son and painter himself, recently published a work on Bill’s experience in Bauhaus, and earlier on he had published an in-depth study on ‘Endless Ribbons’ sculptures. Angela Thomas Schmid, Bill’s wife and art historian, published in end 2008 the first volume of a biography on Max Bill and, together with the film maker Eric Schmid, produced a documentary film which was also presented at the last Locarno Film Festival. Both biography and documentary concentrate on Max Bill’s political involvement, from antifascism and 1968 protest movements to Bill experiences as Zurich Municipality councilman and member of the Swiss Confederation Parliament. In the present research, the bibliography includes also direct sources, such as interviews and original materials in the form of letters correspondence and graphic works together with related essays, kept in the max+binia+jakob bill stiftung archive in Zurich. III The results of the present research are organized into four main chapters, each of them subdivided into four parts. The first chapter concentrates on the research field, reasons, tools and methodologies employed, whereas the second one consists of a short biographical note organized by topics, introducing the subject of the research. The third chapter, which includes unpublished events, traces the historical and cultural frame with particular reference to the relations between Max Bill and the Italian scene, especially Milan and the architects Rogers and Baldessari around the Fifties, searching the themes and the keys for interpretation of Bill’s architectures and investigating the critical debate on the reviews and the plastic survey through sculpture. The fourth and last chapter examines four main architectures chosen on a geographical basis, all devoted to exhibition spaces, investigating Max Bill’s composition process related to the pictorial field. Paintings has surely been easier and faster to investigate and verify than the building field. A doctoral thesis discussed in Lausanne in 1977 investigating Max Bill’s plastic and pictorial works, provided a series of devices which were corrected and adapted for the definition of the interpretation grid for the composition structures of Bill’s main architectures. Four different tools are employed in the investigation of each work: a context analysis related to chapter three results; a specific theoretical essay by Max Bill briefly explaining his main theses, even though not directly linked to the very same work of art considered; the interpretation grid for the composition themes derived from a related pictorial work; the architecture drawing and digital three-dimensional model. The double analysis of the architectural and pictorial fields is functional to underlining the relation among the different elements of the composition process; the two fields, however, cannot be compared and they stay, in Max Bill’s works as in the present research, interdependent though self-sufficient. IV An important aspect of Max Bill production is self-referentiality: talking of Max Bill, also through Max Bill, as a need for coherence instead of a method limitation. Ernesto Nathan Rogers describes Bill as the last humanist, and his horizon is the known world but, as the ‘Concrete Art’ of which he is one of the main representatives, his production justifies itself: Max Bill not only found a method, but he autonomously re-wrote the ‘rules of the game’, derived timeless theoretical principles and verified them through a rich and interdisciplinary artistic production. The most recurrent words in the present research work are synthesis, unity, space and logic. These terms are part of Max Bill’s vocabulary and can be referred to his works. Similarly, graphic settings or analytical schemes in this research text referring to or commenting Bill’s architectural projects were drawn up keeping in mind the concise precision of his architectural design. As for Mies van der Rohe, it has been written that Max Bill took art to ‘zero degree’ reaching in this way a high complexity. His works are a synthesis of art: they conceptually encompass all previous and –considered their developments- most of contemporary pictures. Contents and message are generally explicitly declared in the title or in Bill’s essays on his artistic works and architectural projects: the beneficiary is invited to go through and re-build the process of synthesis generating the shape. In the course of the interview with the Milan artist Getulio Alviani, he tells how he would not write more than a page for an essay on Josef Albers: everything was already evident ‘on the surface’ and any additional sentence would be redundant. Two years after that interview, these pages attempt to decompose and single out the elements and processes connected with some of Max Bill’s works which, for their own origin, already contain all possible explanations and interpretations. The formal reduction in favour of contents maximization is, perhaps, Max Bill’s main lesson.

Nichtkommutative Geometrie und Quantisierung von Raumzeiten und Konfigurationsräumen

Das Standardmodell der Elementarteilchenphysik istexperimentell hervorragend bestätigt, hat auf theoretischerSeite jedoch unbefriedigende Aspekte: Zum einen wird derHiggssektor der Theorie von Hand eingefügt, und zum anderenunterscheiden sich die Beschreibung des beobachtetenTeilchenspektrums und der Gravitationfundamental. Diese beiden Nachteile verschwinden, wenn mandas Standardmodell in der Sprache der NichtkommutativenGeometrie formuliert. Ziel hierbei ist es, die Raumzeit der physikalischen Theoriedurch algebraische Daten zu erfassen. Beispielsweise stecktdie volle Information über eine RiemannscheSpinmannigfaltigkeit M in dem Datensatz (A,H,D), den manspektrales Tripel nennt. A ist hierbei die kommutativeAlgebra der differenzierbaren Funktionen auf M, H ist derHilbertraum der quadratintegrablen Spinoren über M und D istder Diracoperator. Mit Hilfe eines solchen Tripels (zu einer nichtkommutativenAlgebra) lassen sich nun sowohl Gravitation als auch dasStandardmodell mit mathematisch ein und demselben Mittelerfassen. In der vorliegenden Arbeit werden nulldimensionale spektraleTripel (die diskreten Raumzeiten entsprechen) zunächstklassifiziert und in Beispielen wird eine Quantisierungsolcher Objekte durchgeführt. Ein Problem der spektralenTripel stellt ihre Beschränkung auf echt RiemannscheMetriken dar. Zu diesem Problem werden Lösungsansätzepräsentiert. Im abschließenden Kapitel der Arbeit wird dersogenannte 'Feynman-Beweis der Maxwellgleichungen' aufnichtkommutative Konfigurationsräume verallgemeinert.