APROGED’S 5TH INTERNACIONAL CONFERENCE | GEOMETRIAS’19: POLYHEDRA AND BEYOND
5th - 7th September, 2019 | Department of Mathematics of the Faculty of Sciences of Porto’s University, Portugal
     
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GEOMETRIAS'19: BOOK OF ABSTRACTS
The digital edition of this publication is available in www.aproged.pt/geometrias19/g19bookofabstracts.pdf.
   
INDEX  
001 Foreword
003 Acknowledgment to the Scientific Committee
004 Useful Information
005 Conference's Program
011 Henriette-Sophie Lipschütz and Ulrich Reitebuch (Germany)
Paper: Creating Star Shaped Polyhedra Based on Catalan Solids Using Modular Origami
015 Denise Ulivieri, Filippo Iardella and Marco Giorgio Bevilacqua (Italy)
Paper: Vittorio Giorgini’s Architectural Experimentations at the Dawn of Parametric Modelling
021 Gianluca Stasi (Italy)
Paper: Geodesic Structures: Double Curvature Triangulated Meshes
027 Adolfo Pérez-Egea, Pedro Jiménez-Vicario, Pedro García-Martínez,
Manuel Ródenas-López and Martino Peña-Fernández-Serrano (Spain)
Paper: Geometry and Efficiency in the Joints of Deployable Structures
032 JAVIER BARRALLO
Paper: Polyhedra: Didactic Experiences
041 Emmanouil Vermisso (United States of America)
Poster: Gaudi Inverted: A Layered Design Protocol for Integrating Mathematical Inversion and Ruled Surfaces
047 Takashi Yoshino and Atsushi Matsuoka (Japan)
Poster: Straw Models Representing the Skeletal Structures of Radiolarian Pantanellium
051 Ratko Obradović, Miloš Vujanović, Igor Kekeljević,
Ivana Vasiljević, Isidora Đurić, Lidija Krstanović and Bojan Banjac (Serbia)
Poster: Polyhedral Characters as a Basis for Teaching Computer Animation
055 Luigi Corniello, Enrico Mirra and Lorenzo Giordano (Italy)
Poster: Architectural Applications of Geometric Structures. Case Studies of Survey In Southern of Albania
059 Raul Piepereit and Margitta Pries (Germany)
Poster: Automated Preprocessing of Virtual 3D Building Models for Flow Simulations
063 Samanta Teixeira, Thaís Yamada and Galdenoro Botura Junior (Brazil)
Poster: Digital Folding Design and Deformation Test of Origami Tessellations
067 Teresa Pais (Portugal)
Poster: The Representation of Objects in the Observational Drawing
072 MICHAEL HANSMEYER
Paper: Tools of Imagination
078 RINUS ROELOFS
Paper: Helices in Uniform Polyhedra
081 Ulrich Reitebuch, Henriette-Sophie Lipschütz and Konrad Polthier (Germany)
Paper: Filling Space with Gyroid Symmetry
085 Marija Obradović and Mišić Slobodan (Serbia)
Paper: Concave Deltahedral Rings Based on the Geometry of the Concave Antiprisms of the Second Sort
091 Izidor Hafner and Mateja Budin (Slovenia)
Paper: Dissections of Cubes and Golden Rhombic Solids
095 Günter Weiss (Austria)
Paper: Equifaced Simplices and Polytopes
097 Alexei Kanel-Belov, A.V. Dyskin, E. Pasternak and Y. Estrin (Israel, Australia)
Paper: Topological Interlocking of Platonic Bodies: Geometry Enabling the Design of New Materials and Structures
099 Dirk Huylebrouck (Belgium)
Paper: An Euler-Cayley Formula for General Kepler-Poinsot Polyhedra
105 Andrés Martín-Pastor (Spain)
Paper: Polyhedral Transformation Based on Rotational Quadratic Surfaces Propertie
113 Leonardo Baglioni and Federico Fallavollita (Italy)
Paper: The Construction of Regular and Semiregular Polyhedra Through the Synthetic Metho
120 HENRY SEGERMAN
Artistic Mathematics: Truth and Beauty
124 MANUEL ARALA CHAVES
Paper: Symmetries in Portuguese Azulejos (and what this has to do with Geometries
127 João Pedro Xavier, José Pedro Sousa, Alexandra Castro and Vera Viana (Portugal)
Paper: An Introduction to Solid Tessellations with Students of Architecture
133 Cristina Candito and Ilenio Celoria (Italy)
Paper: Applications of Polyhedra and Geometric Structures Sources and Features
of the Small Stellated Dodecahedrons Painted in Genoa
139 Joan Carles Oliver (Spain)
Paper: The “Hele” Module of Rafael Leoz.
Research and Photographic Dissemination of Modular Combination in Architecture
145 Joana Maia and Vitor Murtinho (Portugal)
Paper: Invention and Order
151 Olga Melnikova (Russia)
Paper: Polyhedrons in the Wooden Temple Architecture of Ancient Russia
157 JAVIER BARRALLO
Workshop 01: Didactic Experiences with Polyhedra
159 RINUS ROELOFS
Workshop 02: Making Paper Polyhedra Model
163 Short biographic notes of the authors, speakers and moderators
   
CONFERENCE PROCEEDINGS  
   
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The drawing in the rightmost upper image is almost an exact representation of the great stellated dodecahedron inside a regular icosahedron.
Jamnitzer. W., 1568. Perspectiva Corporum Regularium

     
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