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68 results on '"Cumino, Caterina"'

2. When the Artifact Becomes Image: Representing Geometrical Query with Tangible Tools. Catalogues of Physical Models at the Turn of 1900

Author

Cumino, Caterina, Pavignano, Martino, Zich, Ursula, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Villa, Daniele, editor, and Zuccoli, Franca, editor

Published
2023
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3. Geometry to Build Models, Models to Visualize Geometry

Author

Cumino, Caterina, Pavignano, Martino, Spreafico, Maria L., and Zich, Ursula

Abstract

In the seventeenth century, Guarino Guarini, mathematician and architect, affirmed that architecture, a discipline that primarily deals with measures, relies on geometry: therefore, the architect needs to know at least its basic principles. On behalf of Guarini's words, we designed a set of interdisciplinary teaching experiences, between mathematics (via a calculus course) and drawing (via our Architectural Drawing and Survey Laboratory courses) that we proposed to first-year under graduate students studying for an Architecture degree. The tasks concern mathematical and representational issues about vaulted roofing systems and are based on the use of physical models in conjunction with digital tools, in order to make the cognitive geometric process more effective, thus following a consolidated tradition of both disciplines.

Published
2021
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4. Intersecting Architectural Surfaces Between Graphic and Analytic Representations

Author

Cumino, Caterina, Pavignano, Martino, Zich, Ursula, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, and Cheng, Liang-Yee, editor

Published
2021
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5. Direct and Indirect Geometry of Architectural Paper Model: Images for Imagination

Author

Pavignano, Martino, Zich, Ursula, Cumino, Caterina, Spreafico, Maria L., Bucolo, Ornella, Miron, Daniela, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, and Cicalò, Enrico, editor

Published
2020
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6. Teaching Geometry and Surfaces Evaluation Through Graphic Representation and Dynamic Paper Models

Author

Cumino, Caterina, Pavignano, Martino, Spreafico, Maria Luisa, Zich, Urzula, Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, and Cocchiarella, Luigi, editor

Published
2019
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8. Limits of special Weierstrass points

Author

Cumino, Caterina, Esteves, Eduardo, and Gatto, Letterio

Subjects
Mathematics - Algebraic Geometry, 14H10
Abstract

Let C be the union of two general connected, smooth, nonrational curves X and Y intersecting transversally at a point P. Assume that P is a general point of X or of Y. Our main result, in a simplified way, says: Let Q be a point of X. Then Q is the limit of special Weierstrass points on a family of smooth curves degenerating to C if and only if Q is not P and either of the following conditions hold: Q is a special ramification point of the linear system |K_X+(g_Y+1)P|, or Q is a ramification point of the linear system |K_X+(g_Y+1+j)P| for j=-1 or j=1 and P is a Weierstrass point of Y. Above, g_Y stands for the genus of Y and K_X for a canonical divisor of X. As an application, we recover in a unified and conceptually simpler way computations made by Diaz and Cukierman of certain divisor classes in the moduli space of stable curves. In our method there is no need to worry about multiplicities, an usual nuisance of the method of test curves., Comment: 33 pages, 4 figures

Published
2007

9. Special ramification loci on the double product of a general curve

Author

Cumino, Caterina, Esteves, Eduardo, and Gatto, Letterio

Subjects
Mathematics - Algebraic Geometry, 14H10, 14H15, 14N10
Abstract

Let C be a general connected, smooth, projective curve of positive genus g. For each nonnegative integer i we give formulas for the number of pairs (P,Q) em C x C off the diagonal such that (g+i-1)Q-(i+1)P is linearly equivalent to an effective divisor, and the number of pairs (P,Q) em C x C off the diagonal such that (g+i+1)Q-(i+1)P is linearly equivalent to a moving effective divisor., Comment: 32 pages, 1 figure

Published
2007

13. Paper models of architectural surfaces: images for implicit and explicit geometries

Author

Cumino, Caterina, Pavignano, Martino, and Zich, Ursula

Subjects
N1-9211, geometry, architecture, Geometry, Paper models, Architecture, Mathematics, Interdisciplinary knowledge sharing, mathematics, interdisciplinary knowledge sharing, Psychology, paper models, Visual arts, BF1-990
Abstract

This contribution focuses on paper models of architectural surfaces, in particular on some roofing systems describable by developable ones. Drawing on an interdisciplinary approach, between Architecture and Mathematics, potentialities and criticalities of these models in explicitly conveying Geometry are investigated, in relation to educational and communicative tasks, both when they are used in a direct, tangible way, and when the use is mediated by images generated by them (thus indirect); we discuss on the possibility for models and images to communicate their explicit and implicit Geometries. The main issue discussed is that a material or analytical description unequivocally allows to grasp all the peculiarities of geometrical shapes, while other representations are subject to critical selection of data and are therefore affected by subjective interpretations; similarly, the translation of the physical model into images is the result of choices which emphasize certain object peculiarities over others and is thus less objective. Hence the importance of the physical model (as well as its digital counterparts) which, even if not used directly, can be complementary to a content that, alone, would be partial and/or misleading., img journal, No 2 (2020): Graphics

Published
2020

14. Geometrie tangibili. Catalogo visuale di modelli per la comprensione della forma architettonica | Tangible geometries. Visual catalogue of models for understanding the architectural shape

Author

Cumino, Caterina, MARTINO PAVIGNANO, and Zich, Ursula

Subjects
Modello fisico, Communication, Disseminazione, Sharing, Dissemination, Physical Model, Condivisione, Representation, Architettura, Matematica, Rappresentazione, Forma architettonica, Linguaggio, Comunicazione, Architecture, Mathematics, Architectural Shape, Language
Published
2022

20. Architectural Heritage between Mathematics and Representation: studying the geometry of a barrel vault with lunettes at a first year Bachelor's in Architecture

Author

Cumino, Caterina, MARTINO PAVIGNANO, Zich, Ursula, Sciencesconf.org, CCSD, Department of Mathematical Sciences [Torino] (DISMA), Politecnico di Torino = Polytechnic of Turin (Polito), Department of Architecture and Design (DAD), and Université de Carthage, Université de Montpellier

Subjects
Surfaces, Curricular and institutional issues concerning the teaching of mathematics at university level, Teachers' and students' practices at university level, Geometry for Architects, Surfaces, Models, Representation, Visualization, Models, [SHS.EDU]Humanities and Social Sciences/Education, Representation, [SHS.EDU] Humanities and Social Sciences/Education, Visualization, Teaching and learning of mathematics in other fields, Geometry for Architects
Abstract

International audience; We present an interdisciplinary activity, directed to students of the first year Bachelor's in Architecture, about the visualization of mathematical objects through physical and digital models, with specific regard to surfaces generated by intersections of cylinders. We focus on the geometrical structure of barrel vaults with lunettes and propose the use of different kind of models to improve the accessibility of interdisciplinary elements and to translate specialistic knowledge, building a common language for students with different backgrounds. The work is a result of a broader research project, dedicated to enhancing the relationship between Mathematics and Architecture through Geometry and Representation.

Published
2020

26. Modelli cartacei per la comprensione della forma architettonica: ricerca, progetto, sperimentazione e didattica in un dialogo tra geometria e rappresentazione | Paper models for the understanding of architectural shape: research, design, testing and teaching in a dialogue between Geometry and Representation

Author

MARTINO PAVIGNANO, Cumino, Caterina, MARIA LUISA SPREAFICO, and Zich, Ursula

Subjects
Modello cartaceo, Geometry of ruled surfaces, Geometria delle superfici rigate, Educational experimentation, Sperimentazione didattica | Paper model
Published
2017

28. Origami Modeling for Architectural Shapes: Mathematical and Design Investigation

Author

Cumino, Caterina, Spreafico, MARIA LUISA, and Zich, Ursula

Subjects
folding, roofing system, design, developable surfaces, folding, design, roofing system, real modeling, Developable surfaces, folding design, roofing system, real modeling, developable surfaces, real modeling, folding design
Published
2017

32. Origami and ruled surfaces

Author

Cumino, Caterina, Frigerio, E., Gallina, S., Spreafico, MARIA LUISA, and Zich, Ursula

Subjects
Ruled Surfaces, Architecture, Model, Vaults
Published
2014

48. Catalog Mathematischer Modelle: Connessioni tra testo, rappresentazione grafica e descrizione analitica | Catalog Mathematischer Modelle. Connections between text, graphic representation and analytical description

Author

MARTINO PAVIGNANO, Cumino, Caterina, and Zich, Ursula

Subjects
Oggetti matematici, Brill-Schilling, Geometria delle superfici algebriche, Brill-Schilling | ENG Communication of geometry, geometry of algebraic surfaces, Modelli fisici, physical models, ITA Comunicazione della geometria, Modelli fisici, Oggetti matematici, Geometria delle superfici algebriche, Brill-Schilling | ENG Communication of geometry, physical models, mathematical objects, geometry of algebraic surfaces, Brill-Schilling, mathematical objects, ITA Comunicazione della geometria

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