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POLITECNICO DI TORINO Repository ISTITUZIONALE POLITECNICO DI TORINO Repository ISTITUZIONALE Intersecting Architectural Surfaces Between Graphic and Analytic Representations Original Intersecting Architectural Surfaces Between Graphic and Analytic Representations / Cumino, Caterina; Pavignano, Martino; Zich, Ursula. - ELETTRONICO. - (2020), pp. 137-138. ((Intervento presentato al convegno 19th International Conference on Geometry and Graphics tenutosi a São Paulo (online) nel 18-22 gennaio 2021. Availability: This version is available at: 11583/2857392 since: 2020-12-14T11:00:52Z Publisher: Epusp Published DOI: Terms of use: openAccess This article is made available under terms and conditions as specified in the corresponding bibliographic description in the repository Publisher copyright (Article begins on next page) 05 October 2021 THE 19TH INTERNATIONAL CONFERENCE ON GEOMETRY AND GRAPHICS SÃO PAULO, BRAZIL JANUARY 18-22, 2021 Catalogação-na-Publicação International Conference on Geometry and Graphics (19th : 2021 : São Paulo) ICGG 2020 book of abstracts: livro digital / ed by Liang-Yee Cheng, Rubens Augusto Amaro Junior. -- São Paulo : Epusp, 2021. ISBN 978-65-89190-00-4 1.Geometria 2.Design graphics I.Cheng, Liang-Yee, 1965- ed II.Amaro Junior, Rubens Augusto, ed CDD 516 Committees International Program Committee Peeraya Sripian, Shibaura Institute of Technology, Japan Ren Zuo Wang, National Center for Research on Earthquake Eng., Taiwan Ahmad Barari, Ontario Tech University, Canada Renata Górska, Cracow University of Technology, Poland André Kubagawa Sato, University of São Paulo, Brazil Roberto Silvio Ubertino Rosso Jr, Santa Catarina State University, Brazil Antonio Álvaro Tordesillas, Universidade de Valladolid, Spain Rogério Yugo Takimoto, University of São Paulo, Brazil Ashraf Khattab, Ain Shams University, Egypt Sande Gao, Meisei University, Japan Aura Conci, Universidade Federal Fluminense, Brazil Sergio Gavino, Universidad Nacional de La Plata, Argentina Baoling Han, Beijing Institute of Technology, China Biljana Jovic, University of Belgrade, Serbia Ted Branoff, Illinois State University, USA Boris Odehnal, Vienna University of Applied Arts, Austria Tomohiro Tachi, The University of Tokyo, Japan Cornelie Leopold, TU Kaiserslautern, Germany Vera Viana, Universidade do Porto, Portugal Daiva Makuteniene, Vilnius Gediminas Technical University, Lithuania Xiao Luo, Beijing Institute of Technology, China Daniel Lordick, Technical University of Dresden, Germany Yasushi Yamaguchi, The University of Tokyo, Japan Daniela Velichova, Slovak University of Technology in Bratislava, Slovakia Yuanjun He, Shanghai Jiaotong University, China Douglas Dunham, University of Minnesota Duluth, USA Zhendong Niu, Beijing Institute of Technology, China Eduardo Toledo Santos, University of São Paulo, Brazil Ema Jurkin, University of Zagreb, Croatia Local Organizing Committee Frank Maxfield Croft, The Ohio State University, USA Ana Lucia Camargo Harris, University of Campinas Gilson Braviano, Universidade Federal de Santa Catarina, Brazil Arivaldo Leão Amorim, Universidade Federal da Bahia Gunter Weiss, Technical University of Dresden, Germany Aura Conci, Universidade Federal Fluminense Haiyan Yu, Donghua University, China Brenda Chaves Coelho Leite, University of São Paulo Hans-Peter Schröcker, University of Innsbruck, Austria Eduardo Toledo Santos, University of São Paulo Hellmuth Stachel, University of Technology Vienna, Austria Elsa Vásquez Alvarez, University of São Paulo Hirotaka Suzuki, Kobe University, Japan Fabiano Rogerio Corrêa, University of São Paulo Hongming Cai, Shanghai Jiaotong University, China Fabio Kenji Motezuki, University of São Paulo José Ignacio Rojas-Sola, Universidad de Jaén, Spain Fernando Akira Kurokawa, University of São Paulo Kensuke Yasufuku, Osaka University, Japan Gilson Braviano, Universidade Federal de Santa Catarina Krassimira Vlachkova, University ofSofia St. Kliment Ohridski, Bulgaria João Roberto Diego Petreche, University of São Paulo Kunio Kondo, Tokyo University of Technology, Japan Liang-Yee Cheng, University of São Paulo Laszlo Voros, University of Pécs, Hungary Marcelo Eduardo Giacaglia, University of São Paulo Leônidas de Oliveira Brandão, University of São Paulo, Brazil Marco Antonio Rossi, São Paulo State University Liang-Yee Cheng, University of São Paulo, Brazil Maria Antonia Benutti, São Paulo State University Luigi Cocchiarella, Politecnico di Milano, Italy Rovilson Mafalda, Federal University of ABC Magdalena Dragovic, University of Belgrade, Serbia Sergio Leal Ferreira, University of São Paulo Manfred Husty, University of Innsbruck, Austria Zulind Luzmarina Freitas, São Paulo State University Marcelo Eduardo Giacaglia, University of São Paulo, Brazil Marco Hemmerling, Cologne University of Applied Sciences, Germany Marcos de Sales Guerra Tsuzuki, University of São Paulo, Brazil Organizing staff Miklós Hoffmann, Esterházy Károly University, Hungary Milena Stavric, Graz University of Technology, Austria Naomi Ando, Hosei University, Japan Cezar Augusto Bellezi, Lucas Soares Pereira, Matheus Kenji Norman Wildberger, The University of New South Wales, Australia Kubo, Pedro Luis Rufato de Jesus, Yuri Confessor Castilho Otto Röschel, Graz University of Technology, Austria Fernandes Paul Zsombor-Murray, McGill University, Canada Editor Liang-Yee Cheng Co-editor Rubens Augusto Amaro Junior Contents Part I Theoretical Graphics and Geometry String Constructions of Quadrics Revisited ............................................................................... 3 Hellmuth Stachel Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers .. 5 Hans-Peter Schröcker, Martin Pfurner and Johannes Siegele Examples of Isoptic Ruled Surfaces ............................................................................................ 7 Boris Odehnal A One-Parameter Family of Triangle Cubics ............................................................................ 9 Boris Odehnal Vermeer's Specific Ratio .............................................................................................................. 11 Noriko Sato Perspective and Illusion in Four-dimension: Droste-effect in Four-dimension Based on Escher's Work............................................................................................................................................... 13 Ikko Yokoyama Hidden Structures in Tessellations of Convex Uniform Honeycombs ..................................... 15 László Vörös Geometry and Proportion: Materialization of an Architectural Carpentry Project ............. 17 Cristiana Bartolomei, Cecilia Mazzoli, Caterina Morganti, Giorgia Predari Factorization of Locus Polynomials using DGS......................................................................... 19 Pavel Pech A Spatial Generalization of Wallace Simson Theorem on Four Lines ................................... 21 Jiri Blazek and Pavel Pech Interactive 4-D Visualization of Stereographic Images from the Double Orthogonal Projection .... .... ............................................................................................................................................... 23 Michal Zamboj The M-Points Related to the Perfect Circles in any Triangle ABC as the Next Points Lying on the Generalized Soddy-line and About .................................................. 25 Michael Sejfried Part II Applied Geometry and Graphics ..................................................................................................................................... 29 Tetiana Tkachenko and Viktor Mileikovskyi Cyclographic Model of Generation of Families of Parallel Curves to a Multiply-Connected Domain ........................................................................................................................................... 31 Konstantin Leonidovich Panchuk, Tatyana Mikhailovna Myasoedova, and Evgenij Vladimirovich Lyubchinov Cyclographic Model of Automotive Road Surface Form Design ............................................. 33 Konstantin Leonidovich Panchuk, Evgenij Vladimirovich Lyubchinov, and Tatyana Mikhailovna Myasoedova Development of Data-Driven Agent Model for Consumer Shopping Behavior in Commercial Facility ............................................................................................................................................ 35 Kensuke Yasufuku, Junichi Izumoto and Hirokazu Abe A Curved Surface Flattening Computing Method Combined with Machining Process ........ 37 Peng-Fei Zheng, Jing-Jing Lou, Da-Jun Lin, Qi An Research on Reverse Engineering for Free-form Surfaces ....................................................... 39 Sande Gao and Loulin Huang The Language of Geometry, the Icosahedron as a Case Study ................................................ 41 Dina Rochman Interactive Creation of Voronoi Diagrams for Origami Tessellation ...................................... 43 Yohei Yamamoto and Jun Mitani Teeth Mesh Segmentation Through Curvature Analysis .......................................................... 45 Lucas K. Miyazaki, Rogerio Y. Takimoto, André K. Sato, Hiromasa Suzuki and Marcos S. G. Tsuzuki Biomimetic Approach to Parametric Flower Modeling ............................................................ 47 Biljana Jovic, Aleksandar Cucakovic, Marija Markovic and Katarina Cvijic "Inversion" of a Pyramid............................................................................................................. 49 Udo Beyer The Mysterious Synergy of Geometry and Art.........................................................................
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