ABOUT THE CONFERENCE OFFICIAL ANNOUNCEMENT

We are glad to announce that ICGG 2018, the 18th International Conference on Geometry and Graphics, will be held at the Politecnico di Milano on August 3-7, 2018. It will start with Opening Ceremony at the Triennale di Milano, and will end with Closing Ceremony at the Museo Nazionale della Scienza e della Tecnologia Leonardo da Vinci. The Conference is organized biannually at different venues around the world, under the auspices of the International Society for Geometry and Graphics (ISGG). The spectrum ranges from fundamental research to geometric real-world applications, and education. Therefore, the conference aims at providing a forum for presentation and discussion of both academic and industrial research involving theoretical and applied geometry and graphics as well as other related fields.

The 18th edition is organized at the Politecnico di Milano, by the Department of Architecture and Urban Studies DASTU. Politecnico di Milano is an academic community dealing with Architecture, Urban Studies, Engineering, and Design, then the Conference scope is deeply consistent with its cultural goals. Pure and applied, analogue and digital Geometry and Graphics are, indeed, of the greatest importance in our research/education activities and curricula, providing our basic operational language and supporting our specialized disciplinary semantics.

The official language is English.

Conference webpage: www.icgg2018.polimi.it

DEDICATION AND LOGO

As also the Conference Logo tries to synthesize, we liked to dedicate this conference to Leonardo Da Vinci, genius among the greatest showing the widest power of Geometry and Graphics in investigation and creativity between Science and Art, and to Giulio Natta, professor at the Politecnico di Milano and Nobel prizewinner in Chemistry in 1963, together with Karl Ziegler, as a mentor on the profound function - and beauty! - of Geometry and Graphics in Science and Technology, even at the invisible scale of the molecular world.

In the graphic synthesis of the logo, starting from a spatial version of the Leonardo’s homo ad circulum diagram, the sphere (symbolizing the macro cosmos) appears covered by a molecular pattern inspired by the Natta’s isotactic polypropylene and inscribed inside an ideally cubic frame (symbolizing the micro cosmos), and the outline of the homo (the man) meets the two mentioned structures at the base, where the first carbon atom of the chain is located, as a metaphor of the basic brick of organic life, while due to the designated viewpoint the overall outline of the logo alludes to the letter “M” of Milan.

DEDICATION AND LOGO AIM AT REMARKING THE WIDE SPECTRUM OF THE SCIENTIFIC FOCUS OF THE CONFERENCE, AND THE IDENTITY OF THE 2018 EDITION

About the Conference Logo Concept and Design: Luigi Cocchiarella Digital Parameterization and Animation: Matteo Cavaglià Digital Branding: Umberto Tolino and Andrea Manciaracina

1 CONFERENCE ORGANIZATION COMMITTEE PROGRAM COMMITTEE NATIONAL BOARD HONORARY CHAIRS INTERNATIONAL BOARD Salvatore Barbaɹ|×ÀĄ­ëïÀõœª­¸ÐÀrõùªÀªÀr—Эë×Ý Stefano Bertocciɹ|×ÀĄ­ëïÀõœªÀ=Àë­×Đ­ Otto Röschel Naomi AndoɹCÝï­À|×ÀĄ­ëïÀõċĥxÝÍċÝĥP—é—× Andrea BonariniɹlÝÐÀõ­¤×À¤ÝªÀZÀЗ×Ý Outgoing President of the International Society for Gilson Bravianoɹlë­ïÀª­×õÝ·õ½­ïïݤÀ—§ Ý)ë—ïÀЭÀë—ª­ Monica BordegoniɹlÝÐÀõ­¤×À¤ÝªÀZÀЗ×Ý Geometry and Graphics – ISGG, Graz University of 3Ċéë­ïï Ý>ë˜ɯ¤—ĥ)ë—ĐÀÐ Fausto BreviɹlÝÐÀõ­¤×À¤ÝªÀZÀЗ×Ý Technology, Austria Fabiana Carbonariɹ|×ÀĄ­ëïÀª—ª[—¤ÀÝחЪ­T—lЗõ—ĥ n—ɬ—­ÐЗ)ëù֗חɹPolitecnico di Milano Argentina Vito Cardone Franca CaliòɹlÝÐÀõ­¤×À¤ÝªÀZÀЗ×Ý T—ëëċ*ÝÝé­ë֗×ɹUniversity of California Irvine, USA, and lë­ïÀª­×õÀ×Ýɭ¤­Ý·õ½­|×ÀÝ×­Fõ—ÐÀ—×—0Àï­¸×ÝŮ|F0ĥ Mario Centofantiɹ|×ÀĄ­ëïÀõœªÀTŖêùÀЗ `é­×3ªù¤—õÀÝ×*Ý×ïÝëõÀùÖ Università degli Studi di Salerno, Italy Michela Cigolaɹ|×ÀĄ­ëïÀõœªÀ*—ïïÀ×Ýݪ­ÐT—ĐÀÝ ŽýÍï­Ð0­ÖÀëɹFïõ—×£ùÐx­¤½×À¤—Ð|×ÀĄ­ëïÀõċĥxùëÍ­ċ Meridionale Magdalena Dragovicɹ|×ÀĄ­ëïÀõċÝ·)­Ð¸ë—ª­ĥr­ë£À— CHAIR Sara ComaiɹlÝÐÀõ­¤×À¤ÝªÀZÀЗ×Ý Douglas Dunhamɹ|×ÀĄ­ëïÀõċÝ·ZÀ××­ïÝõ—0ùÐùõ½ĥ|r |¸Ý*Ýï­×õÀ×Ýɹ|×ÀĄ­ëïÀõœªÀZÀЗ×Ý)À¤Ý¤¤— Yasushi Yamaguchi Sergio Gavinoɹ|×ÀĄ­ëïÀª—ªª­T—lЗõ—ĥ븭×õÀח ×õÝ×­ÐЗ0ÀTù¸¸Ýɹ|×ÀĄ­ëïÀõœª­¸ÐÀrõùªÀªÀ[—éÝÐÀ lë­ïÀª­×õÀ×Ýɭ¤­Ý·õ½­Fr>>ĥx½­|×ÀĄ­ëïÀõċÝ·xÝÍċÝĥ Georg Glaeserɹ|×ÀĄ­ëïÀõċÝ·ééÐÀ­ªëõïĥ‡À­×חĥùïõëÀ— Federico II Japan Sonia Gorjancɹ|×ÀĄ­ëïÀõċÝ·“—¸ë­£ĥ*ëݗõÀ— nù¸¸­ëÝ3ù¸­×ÀɹUniversità Cattolica del Sacro Cuore Renata Gorskaɹ*뗤ݱ|×ÀĄ­ëïÀõċÝ·x­¤½×ÝÐݸċĥlÝЗת Federico FallavollitaɹÐ֗Z—õ­ërõùªÀÝëùÖ|×ÀĄ­ëïÀõœ Marco Hemmerlingɹ*ÝÐݸ׭|×ÀĄ­ëïÀõċÝ·ééÐÀ­ª EXECUTIVE CHAIR ªÀ)ÝÐݸח Sciences, Germany Luigi Cocchiarella ת뭗>ÀÝ몗×ÝɹUniversità degli Studi di Padova ZÀÍÐÞïCÝɬ֗××ɹFr>>0Àë­¤õÝëĥR—ëÝÐċ3ïõ­ë½—Đċ*ÝÐЭ¸­ĥ Fr>>0Àë­¤õÝë·Ýë3ùëÝé­ŝ[­—ë3—ïõŝ·ëÀ¤—ĥlÝÐÀõ­¤×À¤ÝªÀ Simone GiostraɹlÝÐÀõ­¤×À¤ÝªÀZÀЗ×Ý 3¸­ëĥCù׸—ëċ Milano, Italy Gabriele GuidiɹlÝÐÀõ­¤×À¤ÝªÀZÀЗ×Ý Manfred Hustyɹ|×ÀĄ­ëïÀõċÝ·F××ï£ëù¤ÍĥùïõëÀ— r­ë­×ÝF××ݤ­×õÀɹ|×ÀĄ­ëïÀõœª­¸ÐÀrõùªÀªÀ)ë­ï¤À— Pedro António Janeiroɹ|×ÀĄ­ëïÀª—ª­ª­TÀï£Ý—ĥɹlÝëõù¸—Ð Elena Ippolitiɹ|×ÀĄ­ëïÀõœª­¸ÐÀrõùªÀªÀnÝ֗T—r—éÀ­×З ,RX«³ ZÀ×­dĐ͗ëR—£—ͧÀݹÐùɹIstanbul Technical University!ٳ ! 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2 OVERALL PROGRAM AUG 3 – FRI AUG 4 – SAT AUG 5 – SUN AUG 6 – MON AUG 7 – TUE CONFERENCE TOPICS TIME Triennale di Milano Politecnico di Politecnico di Politecnico di Museo Leonardo Design Museum Milano Milano Milano da Vinci (T) Theoretical Graphics and Geometry

08:40 DESK DESK DESK DESK (A) Applied Geometry and Graphics 09:00 OPENING OPENING OPENING OPENING (C) Engineering Computer Graphics

PLENARY PLENARY PLENARY CLOSING (E) Graphics Education 09:00 09:40 ISGG INVITED ISGG INVITED ISGG INVITED PLENARY (H) Geometry and Graphics in History LECTURE LECTURE LECTURE RELOADING GEOMETRY AND GRAPHICS A GLANCE TO THE FUTURE 09:40 PLENARY PLENARY PLENARY PANEL SESSION 10:00 POSTER SESSION POSTER SESSION POSTER SESSION

10:00 BREAK BREAK BREAK BREAK 10:20 “LAST SUPPER” EXTRA PROGRAM

(LIMITED PLACES AVAILABLE) TS PLENARY TECHNICAL SESSIONS 10:20 TS TS Due to the enormous requests from people 12:00 TECHNICAL SESSIONS (T) (T) (E) (H) (H) (A) TECHNICAL SESSIONS CLOSING and travel agencies from all ove the world, (T) (T) (C) (E) (H) (A) (A) (T) (T) (C) (E) (H) (A) (A) CEREMONY the visit to the “Last supper” for the ICGG2018

é—ëõÀ¤Àé—×õïÀïÝɬ­ë­ª—¤¤ÝëªÀ׸

(11:40-12:00) PLENARY to the following schedule: TS REPORT

12:00 LUNCH LUNCH LUNCH 13:40 AUGUST 3 2018 at 13:00 AUGUST 4 2018 at 12:15

AUGUST 4 2018 at 18:45 TS TS 13:40 TECHNICAL TECHNICAL AUGUST 5 2018 at 08:15 REGISTRATION SESSIONS SESSIONS 15:00 &

CONFERENCE (T) (E) (C) OPENING (T) (E) (C) AUGUST 7 2018 at 13:30 OPENING (E) (H) (A) (E) (H) (A) LEAVE-TAKING (A) EXHIBITIONS (A) APT APT SNACK 40 YEARS Meeting point: Church of S. Maria delle Grazie, 15:00 ACCOMPANYING OF GEOMETRY ACCOMPANYING BREAK PERSONS’ AND GRAPHICS PERSONS’ BREAK 30 min. before the visit starts VISIT TO THE TOUR TOUR 15:20 & TRIENNALE ICGG 2018

MILANO POSTERS TS ON SHOW TS DESIGN MUSEUM TECHNICAL TECHNICAL AUGUST 5 2018 afternoon SESSIONS SESSIONS 15:20 A visit to the Last Supper is also included in the 16:20 (A) (A) (C) (A) (A) (C) Conference Tour on August 5 afternoon (E) (H) (A) (E) (H) (A) (A) (A) FREE VISIT TO THE 16:20 BREAK BREAK MUSEUM 16:40 EXCURSION OPENING PLENARY PLENARY PLENARY EULOGY OF GEOMETRY TS REPORT TS REPORT AND GRAPHICS 16:40 18:00 INVITED GUESTS PLENARY FREE EVENING PLENARY LECTURES I INVITED GUEST INVITED GUEST LECTURE LECTURE

18:00 CONFERENCE PICTURE ISGG BOARD CONFERENCE & MEETING DINNER 20:30 WELCOMING PARTY UNTIL 22:30 UNTIL 23:30

3 ז׎׏אבÈJȳÁٳzI0«0z!0à0zÈ0 !

TRIENNALE DI MILANO DESIGN MUSEUM

MOSCOVA LINEA 1

TRIENNALE DI MILANO LANZA LINEA 1

walk path

CAIROLI CASTELLO CONCILIAZIONE CADORNA LINEA 1 LINEA 1 LINEA 2 or CADORNA LINEA 2

PORTICO AND GARDEN

TERRACE STAIRS TO THE LEVEL - 1 PORCH GARDEN

BAR SALA D’ONORE (CONFERENCE HALL)

HALL BRIDGE TO DESIGN REGISTRATION GRAND STAIRCASE THE MUSEUM MUSEUM DESK WC LIFT GROUN FLOOR RECEPTION 1st FLOOR HALL CONFERENCE CONFERENCE

FREE ACCESS FREE ACCESS

4 ENTRANCE ׎בي׎א ׎ÁגيבR׏ٳז׎׏אًבzًÈJȳÁ I«X(çIÁ0«z

TRIENNALE DI MILANO DESIGN MUSEUM

LAST SUPPER EXTRA PROGRAM 13:00 REGISTRATION DESK 13:40 – 16:20 RECEPTION HALL - GROUND FLOOR VISIT TO THE TRIENNALE DESIGN MUSEUM 1ST FLOOR OPENING CEREMONY SALONE D’ONORE - 1st FLOOR 16:20 – 18:00 “EULOGY OF GEOMETRY AND GRAPHICS” Call to Order and Early Intro to ICGG2018 Luigi COCCHIARELLA Executive Conference Chairman [Italy] `ɭ¤À—Ð`é­×À׸Ý·õ½­*Ý×·­ë­×¤­ Yasushi YAMAGUCHI President of ISGG and Conference Chairman [Japan] Otto RÖSCHEL Vito CARDONE Former President of ISGG and Honorary Conference Chairman President of UID and Honorary Conference Chairman [Austria] [Italy] Welcome Addresses from the Politecnico di Milano Ferruccio RESTA Gabriele PASQUI Ilaria VALENTE Rossella SALERNO Rector of the Politecnico di Milano Head of the Department Dean of the School of Architecture Coordinator of the [Italy] of Architecture and Urban Urban Planning Construction Unit of Graphic Thanks for the welcome Studies - DASTU Engineering - AUIC Representation – DASTU, AUIC messages sent, to: [Italy] [Italy] [Italy] Hirokazu ABE Special Addresses for the 40th Anniversary President of the Japan Society Regions North America / South America Regions Europe / Near East / Africa Regions Asia / Australia / Oceania for Graphic Science - JSGS Frank M. CROFT Hellmuth STACHEL Kenjiro SUZUKI [Japan] ICGG2018 Steering Committee Managing Editor of the Journal Former President of ISGG [United States] for Geometry and Graphics - JGG [Japan] Robert A. CHIN [Austria] Chair of EDGD, Engineering graphic division of the American Society for Engineering Education - ASEE INVITED LECTURES [United States] Session Co-Chairs Session Co-Chairs Santa J. ONO Damiano IACOBONE Gunter WEISS Ema JURKIN Daniela VELICHOVÁ President and Vice-Chancellor of the [Italy] [Austria] [Croatia] [Slovakia] University of British Columbia - UBC [Canada] #IL001 #IL002 Rational Estimates for Irrational Problems: Molecular Geometry and Molecular Graphics: Cristina TAJANI Proportional Geometry in the Work of Leonardo da Vinci Natta’s Polypropylene and Beyond Councillor for Labour Policies, Mathew LANDRUS Guido RAOS Business, Commerce and Human University of Oxford, Oxford Politecnico di Milano, Milano Resources - Municipality of Milan [|×Àõ­ªRÀ׸ªÝÖ] [Italy] [Italy]

CONFERENCE PICTURE - GRAND STAIRCASE

WELCOMING PARTY - GARDEN, LEVEL -1 18:00 – 20:30

5 ז׎׏אה ÁגÈJȳÁٳzI0«0z!0à0zÈ0 !

POLITECNICO DI MILANO

PIOLA LINEA 2 LEONARDO CAMPUS

PIOLA LINEA 2 VIA PACINI

PIAZZA PIOLA SCHOOL OF ARCHITECTURE EXHIBITION ROOM

TRAM STOP

LEONARDO BUS STOP

TRAM STOP CAMPUS

PIAZZA LEONARDO DA VINCI RECTORATE

ENTRANCE BUILDING 3 “GINO CASSINIS” TRAM STOP CONFERENCE BUS STOP LEONARDO VENUE CAMPUS

6 ACCESSIBILITY

TO PIOLA SUBWAY LINE 2 SPAZIO MOSTRE “GUIDO NARDI” EXHIBITION ROOM

BLD 11 SCHOOL OF ARCHITECTURE URBAN PLANNING CONSTRUCTION ENGINEERING - AUIC

TRAM STOP VIA BONARDI

BLD 2A BUS STOP

TRAM STOP BLD 2 RESTAURANT 2 DESK BAR

WC RESTAURANT 1 DESK

PIAZZA VIA PONZIO VIA LEONARDO BLD 1 HALL GARDEN

DA VINCI RECTORATE RECTORATE

BLD 3 “GINO CASSINIS” TRAM STOP CONFERENCE BUS STOP VENUE

7 אۭאÈXn(XzJ׏׏ ÈXn(XzJ

BAR SPAZIO MOSTRE ENTRANCE “GUIDO NARDI” EXHIBITION ROOM ENTRANCE

DESK 2

PATIO RESTAURANT AREA ENTRANCE ENTRANCE

DESK 1 WC ENTRANCE

SECONDARY ENTRANCE (CLOSE ON SUNDAY) zI0«0z!0à0zÈ0 xXz!ٳבÈXn(XzJ

GROUND FLOOR 1st FLOOR 2st FLOOR

ENTRANCE

LIFT LIFT LIFT REGISTRATION DESK S.2.1 LIFT LIFT LIFT DE DONATO CONFERENCE HALL WC WC S.1.2 WC

S.0.4 S.2.2

S.1.3 GARDEN COLONNADE COFFEE DESK S.0.5 S.2.3 S.1.4

WC WC WC S.1.5 S.1.5 LIFT LIFT LIFT

S.2.4

8 ׎אي׏׎ ׎ÁגيזR׎ٳז׎׏אًג«zXzJًÈJȳÁ ³ÁÈ«(çx

POLITECNICO DI MILANO CAMPUS LEONARDO BUILDING 3 “GINO CASSINIS”

REGISTRATION AND COFFEE DESK 08:40 – 09:00 GARDEN LEVEL - COLONNADE

INVITED LECTURE 09:00 – 09:40 DE DONATO CONFERENCE HALL

Session Chair Hans-Peter SCHRÖCKER [Austria]

#IL003 Geometric Thinking and the Geometry of Conics and Quadrics Paul ZSOMBOR-MURRAY McGill University, Montréal [Canada]

POSTERS SESSION 09:40 – 10:00

Session Chair '¾ÎȕՕpĤN^ D) [Serbia] #003 (A) #047 (E) Spatial Analysis and 3D Modeling: Drawing the Cathedral of Learning Creative, Learning MOOC )ë—ïÀÐÀ—À×0Àɬ­ë­×õrÝ·õą—ë­ Maria Ines PASCARIELLO - [Italy] Lucian NEMER DINIZ, Igor KLEIN DA S. MARINS [)ë—ĐÀÐ] #052 (A) #005 (T) Comparison with Expression on “Rakuchu Rakugai-zu”, Scenes Geometry of Conjugation of Curvilinear Channels of the Parts in and Around the Capital of Kyoto Aleksandr Yurievich BRAILOV - [|Íë—À×­] Kazuko MENDE - [Japan]

#017 (C) #057 (A) Quadratic Characteristics of Workspace Curves of Generalized An Algorithm for Computing Geodesic Curve Based on Digital Planar Cable-driven Parallel Mechanisms Experiment of Point Clouds Lewei TANG - [China] Peng-Fei ZHENG, Qing LIU, Ju-Di ZHAO, Da-Jun LIN, Qi AN - [China]

#019 (A) #063 (A) The Modeling for Numerical Simulation of a Benchmark Model The Golden Ratio and Jewelry Design Based on CAD System Claudia Regina BATISTA, Adhemar Maria DO VALLE FILHO - [)ë—ĐÀÐ] MinLe XU, YuanGuang FU - [China] #182 (C) #039 (E) ‡Àïù—ÐrÀÖùЗõÀÝ×Ý·3ëÝïÀÝ×x­ëë—À×*Ý×ïÀª­ëÀ׸0Àɬ­ë­×õ Visual Art as Science Materials Antonio MOLLICONE - [Malta] Tomoya ITO, Tsukasa KIKUCHI - [Japan]

COFFEE BREAK - GARDEN LEVEL - COLONNADE 10:00 – 10:20

9 ׎גيב׏ ׎ÁאيR׏׎ٳז׎׏אًג«zXzJًÈJȳÁ ³ÁÈ«(çx (T) ROOM S.2.1 (T) ROOM S.2.2 (C) ROOM S.2.3 (E) ROOM S.1.2

Session Chair Session Chair Session Chair Session Chair Daniela VELICHOVÁ Aleksandr DVORETSKII Dario CORONELLI Zhen LIU [rÐÝĄ—ÍÀ—] [nùïïÀ—] [Italy] [China]

10:20 – 10:40 #006 #040 #054 #007 Curved Folding with Pairs of Equidistant Sets of Conic and Solving Applied Geometric Practical Skills in AutoCAD Cones Line Design Problems with the Use Through a Mass Open Online Otto RÖSCHEL - [Austria] Mirela KATIC ZLEPALO, Ema JURKIN of 3D-CAD Course - [Croatia] Kenjiro SUZUKI - [Japan] Natalia KAYGORODTSEVA, Valeriia LUZGINA - [nùïïÀ—]

10:40 – 11:00 #008 #048 #056 #018 The Cube: Its Relatives, Surface and Curves: a Electronic Geometric Modeling Digitizing Spatial Visualization Geodesics, Billiards, and Dialogue Between Nature and is the Basis of Modern Tests Generalisations Structural Analysis Geometric-Graphic Education Domen KUŠAR, Mateja VOLGEMUT Gunter WEISS - [Austria] Otello BERGAMO - [Italy] in the Technical University - [Slovenia], Lidija PLETENAC - Vladimir GUZNENKOV, Pavel [Croatia] ZHURBENKO - [nùïïÀ—]

11:00 – 11:20 #015 #055 #070 #022 Some Theorems of the Duality in Non-Polyhedral Attribute in Formation on The Importance of Circular Euclidean Geometry in Bodies. Part I: Polyliner Three-Dimensional Annotated References, Architectural Pentagonal Quasigroups Eva WOHLLEBEN - [Germany] Models - An Example of Modeling, Digital Project and Stipe VIDAK - [Croatia] Training Method in Three- Collaborative Actions in the Dimensional Annotated Architecture Learning Models for Beginners in Ivan XAVIER, Philipe CANTREVA, Igor Mechanical Design KLEIN - [)ë—ĐÀÐ] Masahiro YASUI, Susumu KISE, Sozo SEKIGUCHI, Kazuya OKUSAKA, Shigeo HIRANO, Tsutomu ARAKI - [Japan]

11:20 – 11:40 #023 #058 #075 #034 Geometric Algorithms for Quadric Sections of Four- Transient Finite Elements Quality Management of Constructing the Algebraic Dimensional Cones Analysis of Thin-walled Engineering Graphics Surfaces on the Basis of Michal ZAMBOJ - [*Đ­¤½n­éù£ÐÀ¤] Structure in Selective Laser Teaching Grassmann’s Ideas and their Melting Process Dilarom F. KUCHKAROVA, Dilnoza A. Extensive Equations Linshan DING, Li ZHANG, Chunhong ACHILOVA - [|Đ£­ÍÀïõ—×] Michael MANEVICH, Elizabeth RUAN, Zaizhuo JIANG - [China] ITSKOVICH - [Israel]

11:40 – 12:00 #031 #065 #130 #037 Hyperbolic Space Forms with Graphics and Quantum Geometrically Constrained Didactic Experiences Crystallographic Applications Mechanics - the Necker Cube Surface (Re)construction on Digital Modeling. and Visualization as a Quantum-Like Two-Level Gudrun ALBRECHT - [Colombia], Anamorphosis 1Ô¾ÎX^RYlģN«Õáp‘DlXDū System Franca CALIÒ, Edie MIGLIO - [Italy] João Pedro XAVIER, José Pedro [Cù׸—ëċ] Giorgio BENEDEK, Giuseppe SOUSA, Alexandra CASTRO - CAGLIOTI - [Italy] [Portugal]

12:00 – 13:40 LUNCH - BUILDING 2 - RESTAURANT DESK 1 & DESK 2

10 ROOM S.1.3 (A) ROOM S.1.4 (A) ROOM S.0.5 FREE STUDY ROOMS ٢R٣ S.2.4, S.1.5, S.0.4 Session Chair Session Chair Session Chair Kazuko MENDE Tatsuya MOKIZUKI Maria Ines PASCARIELLO [Japan] [Japan] [Italy]

#010 #002 #033 Geometry, Arithmetic, Alternative Interpretation of Toward a New Capital by Le Architecture. Calculation the Plücker quadric’s Ambient Corbusier - a Synthesis of ׎׎يא׏ٮ׎אيMethods for Vaults’ Surfaces Space and its Application F֗¸­ïąÀõ½0Àɬ­ë­×õ`ëÀ¸À×ï ׏׎ in the Modo di Misurare le Georg NAWRATIL - [Austria] Michio KATO - [Japan] Fabriche by Guarini FREE TIME Roberta SPALLONE - [Italy] FOR VISITING #016 #011 #043 A Study on Site Planning of Margin’s Landscapes Between The Evolutionary Mechanism MILAN Mountain Temples Through Po and Trebbia Rivers in of Unit Cell: Parameterizations Scene Transition Along the Piacenza Area: Geometrical of Polyhedron Sandwich Visiting Route by MOTATION: Descriptions Structure Based on Rigid INFO Case Study of Muroji, Alessandro BIANCHI - [Italy] Origami Hasedera and Kinpusenji Hao QIU, Yicong GAO, Yixiong FENG, CONFERENCE DESK AND Temples in Japan Hao ZHENG, Jianrong TAN - [China] Momoko KATO, Hirokazu ABE, CONFERENCE WEBPAGE Kensuke YASUFUKU - [Japan] “VENUE” #088 #020 #051 A Contribution to the History The Design of Jlamt: an Aided Converting 3D-CAD of Representation. The Tool for Large-Scale Complex Data into FRP Parts Unpublished Treatise by Physical Modeling Sande GAO - [Japan], Loulin HUANG - Matteo Zaccolini Yan MA, Yuanguang FU, Guiming [[­ą“­—Зת] Leonardo BAGLIONI, Marco FASOLO, QIN - [China] Matteo Flavio MANCINI - [Italy]

#093 #027 #059 The Masonry Domes Over the Geometric Basis of the Use Generic Fitting in Point Clouds Centuries: the Important Role of “Green Constructions” for Daniel KLAWITTER, Oliver of Geometry Sun Protection of Glazing BRINGMANN, Christian TONN - l•ɪ•«ÎΕj YDģR÷¾í•l^ppDū Tetyana TKACHENKO, Viktor [Germany] COSTA - [Italy] MILEIKOVSKYI - [|Íë—À×­]

#101 #062 #096 Simulation of the Giant Wild Examination of the Geometry of Stairs Goose Pagoda in Immersive Experience of Biomorphic Cornelie LEOPOLD - [Germany] Virtual Reality Environment Form Materialized in Urban Fei YANG, Shilun HAO, Adrian TAN, Design Model Jin YANG, Fabian TAN, Michael '¾ÎȕՕpĤN^ D)ģΫËí•Õ¨•éĤ PARKE - [United States] *z*P^ D)ģN«Î«Õ•vĤv^XD)1 D)ū .z'RN1 D)ģÕª«Î•.ĤXDvD)ū [Serbia]

LAST SUPPER EXTRA PROGRAM (13:40-16:20 ACCOMPANYNG PERSON TOUR) 12:15

11 ׎אيד׏ ׎ÁגيבR׏ٳז׎׏אًגzًÈJȳÁ ³ÁÈ«(çIÁ0«z (T) ROOM S.2.1 (E) ROOM S.2.2 (C) ROOM S.2.3 (E) ROOM S.1.2

Session Chair Session Chair Session Chair Session Chair Michal ZAMBOJ Mateja VOLGEMUT Lijie GUAN Marco HEMMERLING [*Đ­¤½n­éù£ÐÀ¤] [Slovenia] [China] [Germany]

13:40 – 14:00 #067 #084 #078 #041 Two Remarkable Spherical n­ï­—뤽Ý×õ½­3ɬ­¤õÝ· Facial Expression Recognition Formation of Competence Arrangements of Circles Providing User Interaction for Based on Weighted KNN and in Students of Technical Hellmuth STACHEL - [Austria] Graphic Education RF University for 3D-Modeling '¾ÎȕՕpĤN^ D)ūšSerbia], Takashi Feng KAIPING, Lai SIYUAN, Li and Prototyping of the Objects OHTA, Noriko SATO - [Japan] QUANJIE, Wen JUNWEN- [China] Tatiana BOSHCHENKO, Natalia KAYGORODTSEVA - [nùïïÀ—]

14:00 – 14:20 #072 #086 #110 #044 Minkowski Triples of Curve Research and Practice of The Optimization Algorithm Creative Graphics Education Segments the Mixed Teaching Mode for for Gait Planning and Foot Potential for Creativity of Daniela VELICHOVÁ - [rÐÝĄ—ÍÀ—] Engineering Graphics Based Trajectory on the Quadruped Hospitality Students via on MOOC Robot Virtual Environment Zhen LIU Jingying ZHANG, Wei YANG, Xianying Baoling HAN, Xiao LUO, Rui ZHAO, - [China] TONG, Hui ZHANG - [China] Qingsheng LUO, Guanhao LIANG - [China]

14:20 – 14:40 #077 #091 #252 #045 Quasifocal Line and “Burning Biomimetical Approach Mixing of Fluids with Space- Basic Modelling Education to Curve” in Training Students of Filling Curves Obtain 3D Spatial Perception Aleksandr DVORETSKII, Tetiana Technical Institutes in Martin Friedrich EICHENAUER, Kevin for Design Beginners DENYSOVA - [nùïïÀ—] Graphic Disciplines with Aim NOACK, Daniel LORDICK - [Germany] Maiko Kishimoto TSUJII, Ayako KITA of Developing Creativity and - [Japan] Formation of Professional Culture of the Engineer Galina GAVRILENKO, Uliana DANILOVA, - [nùïïÀ—]

14:40 – 15:00 #121 #092 #266 #168 Curves and Surfaces in the Non-Conventional Challenges in Modelling x½­3ɬ­¤õÝ·—xąÝŭ Churches with Ovate Plant in Representation for Urban Complex Geometry in Dimensional Optical Illusion Naples. Geometric Analogies Design: Depicting the Historical Buildings for Pattern on the Three- —ת0Àɬ­ë­×¤­ï Intangible Numerical Simulations Dimensional Interpretation Ornella ZERLENGA, Vincenzo CIRILLO Barbara E. A. PIGA, Rossella Grigor ANGJELIU, Dario CORONELLI, of Objects Using Café Wall - [Italy] SALERNO - [Italy] Giuliana CARDANI - [Italy] “Illusion Blocks” Tomoko OHTANI, Daiki AMANAI, Kazushi MARUYA - [Japan]

15:00 – 15:20 COFFEE BREAK

12 ROOM S.1.3 (A) ROOM S.1.4 (A) ROOM S.0.5 FREE STUDY ROOMS ٢R٣ S.2.4, S.1.5, S.0.4 Session Chair Session Chair Session Chair Elena I. SHANGINA Georg NAWRATIL Michio KATO [nùïïÀ—] [Austria] [Japan]

#030 #026 #035 Drawings and Models in Printer of Five-axis Laminate- Fª­×õÀɯ¤—õÀÝ×Z­õ½ÝªÝ· English Perspective Treatises shaping with FDM Method Topographic Surfaces Models I ³Á«Áٳ׎גيבof the XVII and XVIII Centuries and its Application Tatsuya Dilarom F. KUCHKAROVA, Dilnoza A. ׏ Cristina CÀNDITO - [Italy] MOCHIZUKI, Takehiro KAWAMURA - ACHILOVA - [|Đ£­ÍÀïõ—×] [Japan] ACCOMPANYNG PERSON #038 #069 #090 Theater and the Towns Exempla Imperfecta: the Visualized Analysis of Spatial TOUR Enrica PIERAGOSTINI, Salvatore “Curious” Image of the Distribution of Dissolved SANTUCCIO - [Italy] Platonic Solid Gabriella LIVA - Oxygen and Nitrogen Removal [Italy] 3ɭ¤À­×¤ċÀ×*Ý×ïõëù¤õ­ª Wetland Aichen JIA, Huixue YAN “NAVIGLI OF MILAN” - [China] GUIDED TOUR

#053 #081 #094 ON BOAT The Study of Interactive Visualization for Application of Middle-Out “Deconstructivism” in חÐċïÀïÝ·Àëxë—ɭ¤Zݪ­Ð Design Based on Multi-Body OF THE MILANESE the Field of Architecture. Kensuke YASUFUKU, Shinsuke Method Hongxia SONG - [China] Referring to Exhibition at NAGAOKA - [Japan] CANALS MoMA and Bernard Tschumi Masanao KITAMURA, Kensuke YASUFUKU, Hirokazu ABE - [Japan]

#061 #085 #097 Graph Theory and Music: Best-Fit Analysis for the A Geometric Look at 3D a Mathematical Tool for Geometry Characterization Illusionist Techniques Musicians of Domes Laura FLORIANO, Maria Helena WYLLIE LACERDA Giovanni ALBINI – [Italy-3ïõÝ×À—], Mariangela LIUZZO, Giuseppe RODRIGUES, Madalena RIBEIRO Marco Paolo BERNARDI - [Italy] MARGANI - [Italy] GRIMALDI, Daniel WYLLIE LACERDA RODRIGUES - [)ë—ĐÀÐ]

GARDEN LEVEL - COLONNADE

13 ׎גيה׏ ׎ÁאيדR׏ٳז׎׏אًגzًÈJȳÁ ³ÁÈ«(çIÁ0«z (A) ROOM S.2.1 (A) ROOM S.2.2 (C) ROOM S.2.3 (E) ROOM S.1.2

Session Chair Session Chair Session Chair Session Chair Luciana NEMER DINIZ Peng-Fei ZHENG Otello BERGAMO '¾ÎȕՕpĤN^ D) [)ë—ĐÀÐ] [China] [Italy] [Serbia]

15:20 – 15:40 #136 #144 #106 #111 From Voxels to Parts: Geometric Representation of Curves with Special Shell Tessellation – Research- Hierarchical Discrete Turbulent Macrostructure in Aesthetics Generated by an Based Design Strategies Modeling for Design and 3D Jets Original Mechanism Between Architecture and Assembly Olena GUMEN, Volodymyr Iulian POPESCU, Ludmila SASS, Alina Mathematics Andrea ROSSI, Oliver TESSMANN - DOVHALIUK, Viktor MILEIKOVSKYI - .zyģX•é¢«Î•j^j1p(zģ<•¡é¾«Î Marco HEMMERLING - [Germany], [Germany] [|Íë—À×­] MARINESCU - [nÝ֗×À—] Carlo DE FALCO, Elena ANGELI - [Italy]

15:40 – 16:00 #137 #147 #109 #117 A Program to Seek Drawing The Geometry of the Ramps in x½­*Ý×ɯ¸ùë—õÀÝ×0­ïÀ¸×—ת Teaching Geometry and Methods for Descriptive Frank Lloyd Wright’s Organic Analysis of a Small Air-Land Surfaces Evaluation Through Geometry in Prolog Architecture Amphibious Detecting Robot Graphic Representation and Shinobu NAGASHIMA - [Japan] Ana TAGLIARI, Wilson FLORIO - Xiao LUO, Qingsheng LUO, Chen ZHU, Dynamic Paper Models [)ë—ĐÀÐ] Baoling HAN - [China] Caterina CUMINO, Martino PAVIGNANO, Maria Luisa SPREAFICO, Ursula ZICH - [Italy]

16:00 – 16:20 #138 #149 #113 #131 Study on the Modeling Interaction Between 3D Research on Parametric Systematic Review of a Converting Methods of Printing and Geometry Modeling of Cable-Stayed Flipped Learning Model for Complex Mechanical Product Studies Bridge Based on BIM the Courses of Descriptive Exterior Design Marianna ZICHAR, Ildikó PAPP - Ziru WANG, Yuanjun HE, Baiyu MA Geometry, Engineering and Gan JING, Ma LEI - [China] [Cù׸—ëċ] - [China] Computer Graphics Marianna Vladimirovna VORONINA, Sergei Anatolyevich IGNATIEV, Viktoriya Anatolyevna MERKULOVA - [nùïïÀ—]

16:20 – 16:40 COFFEE BREAK

14 ROOM S.1.3 (A) ROOM S.1.4 (A) ROOM S.0.5 FREE STUDY ROOMS ٢R٣ S.2.4, S.1.5, S.0.4 Session Chair Session Chair Session Chair Roberta SPALLONE Tetyana TKACHENKO Daniel KLAWITTER [Italy] [|Íë—À×­] [Germany]

#064 #107 #127 Phonurgia Nova. Geometrical Graphical Analysis of the 3D Modeling of the Biological Acoustics in the 17th Century Structural Behavior, According Form of the Green Chinche I 0z(ٮ׎אيהAlessio BORTOT - [Italy] Hypothesis of Rankine- Dina ROCHMAN, America SÁNCHEZ ׏ Schwedler, of a Large Stone - [Z­ĊÀ¤Ý] Dome in Granada (Spain) ACCOMPANYNG Javier SUÁREZ, Rafael BRAVO, José A. GONZÁLEZ - [Spain] PERSON

#066 #108 #128 TOUR Geometry as a Tool to Manage Modularity of Concave Research on Video the Territory. Nicolaas Polyhedra of the Second Sort Representation by Cruquius and the Map of the with Octagonal Bases Unexperienced Viewpoint Merwede X•é¾È•^'l.^ D)ūšSerbia] Using 360-Degree Movie “NAVIGLI OF MILAN” Laura CARLEVARIS - [Italy] Yuya SATO, Tsukasa KIKUCHI - [Japan] GUIDED TOUR ON BOAT #073 #126 #134 The Quincunx as Architectural Repetition of Triangle Fountain An Algebraic Version of the OF THE MILANESE Structure. Geometry and of Aldo Rossi: Geometrical Input-Output Equation of Digital Reconstructions Analogy of Architecture Planar Four-Bar Mechanisms CANALS after Leonardo da Vinci’s Yuji KATAGIRI - [Japan] Manfred HUSTY, Martin PFURNER - Centralized Plan Temples [Austria] Marco CARPICECI, Fabio COLONNESE- [Italy]

GARDEN LEVEL - COLONNADE

15 ׎בيאא ׎ÁגيהR׏ٳז׎׏אًגzًÈJȳÁ ³ÁÈ«(çIÁ0«z PLENARY DE DONATO CONFERENCE HALL

16:40 – 17:20 TS REPORT

Round Table with Session Chairs and Open Discussion

Session Co-Chairs “«ÎÈ˕XDRDYqDjzq j•ă«Ólz'DY^†D(‘ [Croatia] [Poland]

17:20 – 18:00 INVITED LECTURE

Session Chair Cornelie LEOPOLD [Germany]

#IL004 Designing with Shadow / in Architectural Lighting Design Kaoru MENDE Lighting Planners Associates, Tokyo [Japan]

18:00 – 22:30 ISGG BOARD MEETING (ISGG BOARD MEMBERS ONLY) BLD 1 RECTORATE MEETING ROOM LAST SUPPER EXTRA PROGRAM 18:45

FREE TIME FOR PARTICIPANTS

16 ׎אي׏׎ ׎ÁגيזR׎ٳז׎׏אًד«zXzJًÈJȳÁ ³Èz(çx

POLITECNICO DI MILANO CAMPUS LEONARDO BUILDING 3 “GINO CASSINIS”

LAST SUPPER EXTRA PROGRAM 08:15

REGISTRATION AND COFFEE DESK 08:40 – 09:00 GARDEN LEVEL - COLONNADE

INVITED LECTURE 09:00 – 09:40 DE DONATO CONFERENCE HALL

Session Chair Baoling HAN [China]

#IL005 Higher Dimensional Geometries What Are They Good For? Boris ODEHNAL University of Applied Arts, Vienna [Austria]

POSTERS SESSION 09:40 – 10:00

Session Chair Fei YANG [United States] #071 (C) #129 (E) Kinematical Ruled Surfaces Based on Interrelated Movements Representation of an Object as a Semiotics Sign in Engineering in Axoids’ Triad “Torse-Cone-Cone” Harri LILLE, Aime RUUS - [3ïõÝ×À—] Galina S. RACHKOVSKAYA, Yuriy N. KHARABAYEV - [nùïïÀ—], Natalya S. RACHKOVSKAYA - [United States] #151 (A) 0­ïÀ¸×À׸£ċnùЭïűl—ë—Ö­õëÀ¤ˆÝëÍɰÝą)­½ÀתF*>>ĝěĜģ #087 (A) Conference Logo Determining Features of Volumes of Interest of Medical Matteo CAVAGLIÀ - [Italy] Ultrasound Images Robert TORNAI, Péter TÖRÖK, János Péter PÁLMAI, Botond BALOGH - #167 (T) [Cù׸—ëċ] Wallace-Simson Line In Four Cayley-Klein Planes DĂ•Õ•'^“D).l

COFFEE BREAK - GARDEN LEVEL - COLONNADE 10:00 – 10:20

17 ׎בي׎א ׎ÁאيR׏׎ٳז׎׏אًד«zXzJًÈJȳÁ ³Èz(çx ROOM S.1.2 ٢R٣ T) ROOM S.2.1 (T) ROOM S.2.2 (E) ROOM S.2.3)

Session Chair Session Chair Session Chair Session Chair Noriko SATO DĂ•Õ•'^“D).l

10:20 – 10:40 #112 #080 #16 #009 Composition and A Property of Area and A Revised Project-Based Leonardo da Vinci as a Deconstruction of Spaces Perimeter Douglas DUNHAM, John Learning Program on Scientist in Assessing the Depicted in Shinji Somai’s SHIER - [United States] Geometry -Maximizing the Encyclopedic Literature of Films Volume of Solid Imperial Russia, the Soviet Naomi ANDO, Motoharu TANEDA, Ichiro TANAKA - [Japan] Union and the Russian Shota ISHII, Nobuhiro YAMAHATA - Federation [Japan] Mikhail MASHKARIN, Natalia KAYGORODTSEVA - [nùïïÀ—]

10:40 – 11:00 #215 #123 #158 #074 Optimized Ruled Surfaces Isotomic Transformation From the Plan to the 3D Model The Triad of Vitruvius in the with an Application to thin- with Respect to a Family of Through Folding. Case Studies Modern World walled Concrete Shells Triangles in Fashion Design Elena I. SHANGINA - [nùïïÀ—] Kevin NOACK, Daniel LORDICK - Helena KONCUL - [Croatia] Alessandra AVELLA - [Italy] [Germany]

11:00 – 11:20 #273 #155 #050 #029 Detection of Critical Direction Geometric Constructive Teaching 3D Character Geometry/Time for Feature Line Extraction Traces in Drawings by Animation Through Four Measurement/Sundials. on Meshes Based on Local Francesco Borromini Related Tasks Graphical Resolution via Integral Invariants Marco CANCIANI, Giovanna l•óËÛ^'l.^ D)ģX¾ÎÛï Algorithmic and Parametric Qiqi GAO, Yasushi YAMAGUCHI - SPADAFORA, Maria del Pilar PASTOR zNY^ D)ģD¶ÛéP1P1RN1 D)ū Processes [Japan] ALTABA, Giovanni FORMICA, Marco [Serbia] Francesco DI PAOLA - [Italy] D’ANGELICO, Camilla LEBBORONI - [Italy]

11:20 – 12:00 TS REPORT DE DONATO CONFERENCE HALL

Round Table with Session Chairs and Open Discussion

Session Co-Chairs Jessica ROMOR Hirotaka SUZUKI [Italy] [Japan]

12:00 – 13:40 LUNCH - BUILDING 2 - RESTAURANT DESK 1 & DESK 2

13:40 – 14:20 EXHIBITION OPENING - BUILDING 11 - SPAZIO MOSTRE “GUIDO NARDI” “40 YEARS OF GEOMETRY AND GRAPHICS” & “ICGG 2018 POSTERS ON SHOW”

14:20 – 20:30 CONFERENCE TOUR - MEETING POINT AT POLITECNICO DI MILANO - BUILDING 11

18 ROOM S.1.3 (A) ROOM S.1.4 FREE STUDY ROOMS ٢R٣ S.2.4, S.1.5, S.0.4, S.0.5 Session Chair Session Chair Renata GÓRSKA Robert TORNAI [Poland] [Cù׸—ëċ]

#122 #156 Ludovico Cardi Said “Il Directorial Surfaces and Cigoli”. Practical Treaty of Potential Applications in ׎׎يא׏ٮ׎אيPerspective: Innovative Cupola Design ׏׎ Aspects and Intuitions X•È•XĤj1vl^ D)ģl•¨ÛÕÕ'Ĥ Daniele CALISI - [Italy] pvzRD(ģX•éËÛjĤ z*D)ģl•¨ÛÔ¾éXĤ FREE TIME XDNDR^ D)ūšSerbia] FOR VISITING MILAN #132 #157 De L’Orme’s Graphics Interactive Expansion of Language: Between Achiral Polyhedra INFO Stereotomy and Orthogonal Vera VIANA, João Pedro XAVIER, Proto-Projection Ana Paula AIRES, Helena CAMPOS - CONFERENCE DESK AND Antonio CALANDRIELLO - [Italy] [Portugal] CONFERENCE WEBPAGE #140 #160 Sharawadgi and Penetrating A Storage Model for Large “VENUE” Space in Chinese Classic Scale Web-based Learning Gardens. An Analysis of Systems Based on Concept Perceptual Space in Wangshi Tree Garden Hongming CAI, Zheng WANG, Luyi LIU - [Italy] Jingjing LI, Haiyan YU, Yuanjun HE, Yonggen GU - [China]

19 EXCURSIONS LAST SUPPER AND CITY CENTER

LIMITED PLACES AVAILABLE(*) Visit to the “Last Supper” and the city center of Milan

(*) see also “Last supper” extra program at page 3

UPPER BERGAMO

MAIN CONFERENCE TOUR Visit to Upper Bergamo, the walls (UNESCO heritage), the historical city center with the spectacular view on the Po Valley

20 ׎אي׏׎ ׎ÁגيזR׎ٳז׎׏אًה«zXzJًÈJȳÁ z(çx x

POLITECNICO DI MILANO CAMPUS LEONARDO BUILDING 3 “GINO CASSINIS”

REGISTRATION AND COFFEE DESK 08:40 – 09:00 GARDEN LEVEL - COLONNADE

INVITED LECTURE 09:00 – 09:40 DE DONATO CONFERENCE HALL

Session Chair Daniel LORDICK [Germany]

#IL006 Computational Visual Illusion and Its Application Peeraya SRIPIAN Shibaura Institute of Technology, Tokyo [Japan]

POSTERS SESSION 09:40 – 10:00

Session Chair Daniela VELICHOVÁ [rÐÝĄ—ÍÀ—] #036 (H) #246 (H) Luca Pacioli: a friend of Leonardo da Vinci. De Divina Vilnius Cathedral Ceiling Interactive 3D Models – Exploration and Proportione in Capital Letters Digitalization Paola MAGNAGHI-DELFINO, Tullia NORANDO - [Italy] .•¾Ă•XPzv7YD1Y7ūšTÀõ½ù—×À—]

#115 (A) #248 (E) A Study on Automatic Generation of Heating Patterns of Contour A Study on Monozukuri Education in Karakuri Doll Production Maps for 2.5D Printing Hiroki TOMINAGA, Masayuki MORI, Naoki IIDA, Kenichi HIROSE - [Japan] Hiromasa SUZUKI, Yutaka OHTAKE, Yuta MIWA - [Japan] #261 (E) #180 (A) =­—õùë­ïÝ·x­—¤½À׸õ½­>ë—é½À¤0Àï¤ÀéÐÀ×­*Ýùëï­ï·Ýë0Àɬ­ë­×õ Geometric Analysis and Engineering Application of Conic Section Specialty Students Yaqi XU, Chengfang ZHANG, Xinwu MI - [China] Iryna TARAS - [|Íë—À×­]

#186 (T) #272 (A) Parametrizing 3-Webs of Circles on Darboux Cyclides Study on Analysis Support of Lubrication Phenomenon by Three- Rimvydas KRASAUSKAS - [TÀõ½ù—×À—] Dimensional CAD. Development of Auxiliary Analysis Tool for CAD Toshiaki KANDA, Masatoshi NIIZEKI, Toshihiro OZASA - [Japan] #235 (C) Federated Parametric Models for Seismic Risk Analysis in #279 (E) Existing Buildings Projections: Applications from Geometric and Project Design Carlo BIAGINI, Paolo OTTOBRI - [Italy] Education Caio Cesar PEREIRA, Guacira MACEDO DOS SANTOS, Sandra DE ARAUJO BARATA GOMES - [)ë—ĐÀl]

COFFEE BREAK - GARDEN LEVEL - COLONNADE 10:00 – 10:20

21 ׎גيב׏ ׎ÁאيR׏׎ٳז׎׏אًה«zXzJًÈJȳÁ z(çx x (T) ROOM S.2.1 (T) ROOM S.2.2 (C) ROOM S.2.3 (E) ROOM S.1.2

Session Chair Session Chair Session Chair Session Chair Andrea GIORDANO Rimvydas KRASAUSKAS Carlo BIAGINI Niels-Christian FRITSCHE [Italy] [TÀõ½ù—×À—] [Italy] [Germany]

10:20 – 10:40 #177 #024 #118 #181 Relationship Between The Properties of Special Aircraft Target Recognition Comparative Analysis of Time and Typical Buildings Points on the Brocard Circle in in Remote Sensing Images Teaching in Geometric Depicted in Kasuga Gongen a Triangle Based on Saliency Maps and Surfaces at Architectural Genki Victor OXMAN, Avi SIGLER, Moshe Invariant Moments Faculties in Niš and Tokyo Noriko SATO - [Japan] STUPEL - [Israel] Jie LUO, Jiexian ZENG, Jun FU, Xiang Sonja KRASI) - [Serbia], Naomi FU, Lu LENG - [China] ANDO - [JapanŢģj«ó•éj1ND)ģ‘Εó• v^rD)ūšSerbia]

10:40 – 11:00 #179 #082 #133 #188 Study and Practice on Double Examples of Autoisoptic Generating Videos Based Mathegraphics. Integrating Deck Folding Structure Mobile Curves on Convolutional Recurrent Graphic, Geometrical and Home Design Development Boris ODEHNAL - [Austria] Generative Adversarial Algebraic Representation Shin TSUCHIYA, Toshikazu ISHIDA - Networks in Teaching and Research [Japan] Yachao LI, Toshihiro KOMMA - Through a Dialogical [Japan] Approach Enrico CICALÒ, Andrea CAUSIN, Margherita SOLCI - [Italy]

11:00 – 11:20 #187 #192 #153 #196 On One Locus in the Plane Structure Functions of Ruled Orthographic Drawings Character Making Education Jiri BLAZEK, Pavel PECH - [Czech Surfaces with Null Rulings Minting: Testing for by DREAM Process Ryuta n­éù£ÐÀ¤] RȾÎȕՕjlDX^l(<N*D)ģDĂ•Õ• Indeterminate Solid MOTEGI, Yoshihisa KANEMATSU, jl^vlPģ“«ÎÈ˕XDRDYqDjzqū Models Caused by Naoya TSURUTA, Koji MIKAMI, Kunio [Croatia] Underrepresentation KONDO - [Japan] Peter ROSSO, Ben HICKS, Michael PATTERSON - [|×Àõ­ªRÀ׸ªÝÖ]

11:20 – 11:40 #189 #197 #161 #205 Geometrical Structures The Geometry of Quadratic A Creo-Based Modeling and A Course on Geometric of Planar and Spatial Quaternion Polynomials in Toolpath Generating System Dimensioning and Tessellations Based on 3D Euclidean and Non-Euclidean for the NC Whirling Process of Tolerancing: Overview and Models of Higher Dimensional Planes Propeller Blades Initial Assessment Theodore J. Cubes Zijia LI, Josef SCHICHO, Hans-Peter Xinfeng LIU, Riliang LIU - [China] BRANOFF - [United States] László VÖRÖS - [Cù׸—ëċ] SCHRÖCKER - [Austria]

11:40 – 12:00 #190 #200 #195 #209 Logicometry: Graphical Graphical Model of the Directing Scheme Support Byrne’s Euclidean Geometry Representations of Logical Biquadratic Transformation Method Based on Analysis of Revisited with Geogebra Space Interrelations Auyez BAIDABEKOV, Seriktay Angry Characters Giorgio BOLONDI, Alessandro LUIGINI Panayiotis VAROUTSOS - [Greece] BAYMUKHANOV, Elmira Yoshihisa KANEMATSU, Ryuta - [Italy] KEMELBEKOVA - [R—Đ—Í½ïõ—×] MOTEGI, Naoya TSURUTA, Koji MIKAMI, Kunio KONDO - [Japan]

12:00 – 13:40 LUNCH - BUILDING 2 - RESTAURANT DESK 1 & DESK 2

22 ROOM S.1.3 (A) ROOM S.1.4 (A) ROOM S.0.5 FREE STUDY ROOMS ٢R٣ S.2.4, S.1.5, S.0.4 Session Chair Session Chair Session Chair Matteo Giuseppe ROMANATO Masatoshi NIIZEKI Luís ROMÃO [Italy] [Japan] [ Portugal]

#141 #162 #183 Between Survey and Introduction to “Architectural Extended Morphological Interpretation: the Geometry”: Through Analysis Closing Using Geodesic ׎׎يא׏ٮ׎אيIdeal Shape of Flavian of Architecture Made of Filtering ׏׎ Amphitheater According to Square Plan Takashi MICHIKAWA, Satoshi WADA Carlo Lucangeli Takahiro OHMURA - [Japan] - [Japan] FREE TIME Jessica ROMOR, Graziano Mario VALENTI - [Italy] FOR VISITING

#143 #169 #185 MILAN La Géométrie Pratique. A Suggestion of the Optical Making Fulldome Images Survey Manuals in France Illusion Blocks for an Using Camera with Fisheye Between the 18th and 19th Architectural Theory: Toward Lens and Fulldome Picture on INFO Centuries an Architecture in the Near Bowl. Workshop for Children Camilla CASONATO - [Italy] Future at Planetarium CONFERENCE DESK AND Daiki AMANAI, Tomoko OHTANI, Hidekazu TSUJIAI, Megumi Kazushi MARUYA - [Japan] TAKENAKA, Tadashi HAYASHI - CONFERENCE WEBPAGE [Japan] “VENUE” #146 #172 #193 Perspective Analysis of the Suggestions for new Content Visualizing of Infants’ Inlaid Wood Panel from Duomo in the Planetarium Behavior at Home Using of Bergamo Kosei YAMAMURA, Satoshi CHO, Augmented Reality for Giorgio BURATTI, Giampiero MELE Hisashi SATO - [Japan] Promotion of Development - [Italy] and Prevention of Accidents Miho NISHIZAKI - [Japan]

#166 #175 #194 Digital Renovation and Triangular Proportional Visual Paradoxes in Archives of Japanese Ancient Scheme and Concept of Two Video Games: Spatial Ritual Performance at the Serbian Medieval Churches Reconstructions and World Cultural Heritage: X•¶¨•Î«Õ•.l<^ D)ģΫËí•Õ¨•é Geometric Analysis Niutsuhime Shrine *z*P^ D)ūšSerbia], Jelena Alessandro OLIVIERI, Ramona Kohei FURUKAWA, Kazuya KOJIMA, '^<.Y^ D)ūšUnited States], FERIOZZI - [Italy] Kozaburo HACHIMURA - [Japan] pĂ«óΕՕ*D*1 D)ģΫËí•Õ¨•é vlD;zY^ D)ūšSerbia]

#176 #178 #202 Astronomy of Shadows and Perspective and the Blind. Smart Artefacts and Spaces Light: Athanasius Kircher’s Towards a Communication of to Interact, Promote and Sundials Between Geometry, Painted Spaces to the Visually Transfer Cultural Knowledge Perspective and Science Impaired Mauro CECONELLO - [Italy] Cosimo MONTELEONE, Isabella FRISO Barbara ANSALDI - [Italy] - [Italy]

(13:40-16:40 ACCOMPANYNG PERSON TOUR)

23 ׎אيד׏ ׎ÁגيבR׏ٳז׎׏אًהzًÈJȳÁ z(çIÁ0«z x (T) ROOM S.2.2 (E) ROOM S.2.2 (C) ROOM S.2.3 (E) ROOM S.1.2

Session Chair Session Chair Session Chair Session Chair Noriko SATO Sonja KRASI) Jie LUO Kunio KONDO [Japan] [Serbia] [China] [Japan]

13:40 – 14:00 #083 #236 #159 #212 A Spatial Version of the Is the Constructional Drawing From Orthographic Drawings New Analog for the Theorem of the Angle of an International Language for to Editable Models of Simple Digital Age: Adjusting Circumference Engineers? Solid Using “Reconstruction- Simultaneousness for Self- Georg GLAESER, Boris ODEHNAL, Modris DOBELIS - [T—õĄÀ—], Recomposition” Coupled with Explanatory Delineation Hellmuth STACHEL - [Austria] Piotr POLINCEUSZ, Monika SROKA- Feature Recognition of Architectural and BIZON, Krzysztof TYTKOWSKI Peter ROSSO, Ben HICKS, Michael Urban Projects in Public - [Poland], Daniela VELICHOVA - PATTERSON - [|×Àõ­ªRÀ׸ªÝÖ] Presentations or: A “Nolli [rÐÝĄ—ÍÀ—], Antanas VANSEVICIUS Isometric” - [TÀõ½ù—×À—] Niels-Christian FRITSCHE - [Germany]

14:00 – 14:20 #234 #256 #171 #225 Integration Between Geometrography Revised 3-D Reconstruction of A Multiview Interactive Perspective Images and BIM and Enlarged: a Brazilian Bubbles Inside Valve Based on Interface for the Solution Models: Projective Geometry Geometer’s Approach to Émile Multi-mirrors Imaging of Descriptive Geometry is still Alive Lemoine’s Work Liye JIAO, He XU, Haihang Problems Paolo BORIN, Andrea GIORDANO, Marcelo DA SILVA BUENO - [)ë—ĐÀÐ] WANG, Zitong ZHAO, Pooneeth Fabio G. TEIXEIRA, Sérgio L. DOS Federico PANAROTTO - [Italy] VISHWANATH - [China] SANTOS, Fernando B. BRUNO - [)ë—ĐÀÐ]

14:20 – 14:40 #280 #257 #219 #228 Using Topological Challenges and Promises Analytic Approach to l½ċïÀ¤—ÐŮ0À¸Àõ—ÐĦ0­ɯ×À׸õ½­ Transformations to Construct of Mobile Devices Usage for Finding Lines in Images and Architectural Space the Intercepting Lines Spatial Visualization Skills Estimating their Uncertainty Jolanta TOFIL - [Poland] Gocha CHAVLESHVILI, Gaioz Assessment in Technical Matthew HARKER, Paul O’LEARY - PARTSKHALADZE - [Georgia] Drawing for Engineering [Austria] Course ΫËí•Õ¨•évlD;zY^ D)ģpĂ«óΕՕ *D*1 D)ģ.镶•ÕR‘l1 D)ģ X•¶¨•Î«Õ•.l<^ D)ģΫËí•Õ¨•é *z*P^ D)ūšSerbia]

14:40 – 15:00 #262 #220 #232 Drawing Geometry: a Geometric Fitting, Design-Based Learning Laborious History in Italian Registration and Supported by Empirical- School Fª­×õÀɯ¤—õÀÝ×·ÝëT—븭r­õï Concrete Learning Objects in Giorgio BOLONDI - [Italy] of Spatial Measurement Data Descriptive Geometry Matthew HARKER, Paul O’LEARY - Fernando Batista BRUNO, Régio [Austria] Pierre DA SILVA, Tânia Luisa Koltermann DA SILVA, Fábio Gonçalves TEIXEIRA - [)ë—ĐÀÐ]

15:00 – 15:20 COFFEE BREAK

24 ROOM S.1.3 (A) ROOM S.1.4 (A) ROOM S.0.5 FREE STUDY ROOMS ٢R٣ S.2.4, S.1.5, S.0.4 Session Chair Session Chair Session Chair Luyi LIU Milena STAVRIC Andrea AROSA [Italy] [Austria] [Argentina]

#198 #206 #221 Digital Approach to “Ultima Dea”: a Laser Scanner Unfolding Geometry from Michelangelo’s Design. The Application for 3D Modelling Unity: Digital Survey and I ³Á«Áٮ׎גيבInner Light of Neoplatonic Salvatore BARBA, Francesco 3D Modeling of Islamic ׏ Geometry VILLECCO, Alessandro NADDEO - Decorative Apparatuses in Matteo Giuseppe ROMANATO - [Italy] [Italy] Generalife Palace, Alhambra ACCOMPANYNG l•ɪ•«ÎΕ.1Xl(^ūšItaly] PERSON TOUR

#237 #207 #223 Abraham Bosse and the An Unlikely Rome. Towards Geometrical Universality of “MUSEO DEL NOVECENTO” Perspective in Practice Performative Geometry Truss-Z System Marta SALVATORE - [Italy] Carlos Daniel CAMPOS - [Argentina], Machi ZAWIDZKI - [Poland] VISIT TO THE MUSEUM Alessandra CIRAFICI - [Italy] OF MODERN ART, AND WALK THROUGH

#243 #210 #226 THE CITY CENTER Material Models of Ruled Geometric Links Between 2D A Perspectograph for Surfaces as Witnesses to the Patterns and 3D Structures a Congregative Way of Development of Mathematical in Islamic Architectures of Perspective Teaching Andalusia José Vítor CORREIA, Luís ROMÃO – [ Robert PÄßLER, Daniel LORDICK - Barbara MESSINA, Stefano Portugal] [Germany] CHIARENZA - [Italy]

#218 #217 #229 Geometry in Advertising Imperial Porphiry and Golden The Role of the Graphic Graphics Leaf: Sierpinski Triangle in a Element in the Context of Massimo MALAGUGINI - [Italy] Medieval Roman Cloister Playful Games for Cultural Paola BRUNORI, Paola MAGRONE, Heritage Laura TEDESCHINI LALLI - [Italy] Valeria CERA - [Italy]

GARDEN LEVEL - COLONNADE

25 ׎גيה׏ ׎ÁאيדR׏ٳז׎׏אًהzًÈJȳÁ z(çIÁ0«z x (A) ROOM S.2.2 (A) ROOM S.2.2 (C) ROOM S.2.3 (E) ROOM S.1.2

Session Chair Session Chair Session Chair Session Chair Barbara MESSINA Machi ZAWIDZKI Peter ROSSO Jolanta TOFIL [Italy] [Poland] [|×Àõ­ªRÀ׸ªÝÖ] [Poland]

15:20 – 15:40 #259 #269 #095 #046 Visualisation of DSM as Immersive Visions. Some Study on Adaptive Threshold Reinterpret whith Estrus. 3D-Mesh for Urban Analyses Paradigms a of an Exceeding Image Processing Method for Creativity and Science in j•ă«Ólz'DY^†D(‘ūšPoland] Iconography. Capture and Detection of Vaccine Activity the Drawing Workshops Monitoring by Spherical Yancong LIU, Chao HUANG - [China] of the Degree Course in Cameras and Interactive Communication Design Smartglasses Maria Paola MARABOTTO - [Italy] Federico Alberto BRUNETTI - [Italy]

15:40 – 16:00 #264 #271 #098 #274 Dendrimer Diagrams on the Utilization of Plane Tensile Structure Form- Application of Augmented Disk and in the Ball Tessellation for Paper Finding on the Basis of Reality in the Compilation and Daniel LORDICK - [Germany] Folding and Geometrical Properties of Frame-Grid Publication of Cartographic Transmittance Pattern for Template Textbooks Lampshade Design Eugene Vladimirovich POPOV, Marina Hongliang FAN - [China] Hirotaka SUZUKI - [Japan] Victorovna LAGUNOVA, Sergey Igorevich ROTKOV - [nùïïÀ—]

16:00 – 16:20 #265 #278 #275 A Quest for the Structural Collection and Visualization of Three-dimensional Modeling Response Through Geometric Pedestrian Navigation Routes and Finite Element Analysis of Representation of the Design Data with Parametric Tools Cycloid Hyperbolic Arch Dam of Built Heritage X•È•DRD)ūš)Ýï×À——תC­ëĐ­¸ÝĄÀח] Tingna DU, Bo LI - [China] Maria Chiara GIANGREGORIO, Giuliana CARDANI, Dario Angelo Maria CORONELLI - [Italy]

16:20 – 16:40 COFFEE BREAK

26 ROOM S.1.3 (A) ROOM S.1.4 (A) ROOM S.0.5 FREE STUDY ROOMS ٢R٣ S.2.4, S.1.5, S.0.4 Session Chair Session Chair Session Chair Graziano Mario VALENTI José Vítor CORREIA Yaqi XU [Italy] [ Portugal] [China]

#250 #230 #249 Design Method of Original Geometrically Controlled Between Architecture and Motifs and Decorative 0À¸Àõ—ЈÝëÍɰÝą·ëÝÖr¤ë—õ¤½ Writing: Graphical Geometry I 0z(ٮ׎אيהPatterns Using Geometric to Fabrication to Decipher Systems of Signs. ׏ Baseline Derived From Milena STAVRIC, Albert WILTSCHE, Campo Verano in Rome Japanese Crafts Markus BARTAKY, Elmar HESS - Elena IPPOLITI, Francesca ACCOMPANYNG Kuniko OHTOMO - [Japan] [Austria] GUADAGNOLI - [Italy] PERSON

#260 #238 #255 TOUR DIN-DON-DAN - Bells and The Story of NanoJesus: The Korean Alphabet their Geometry Combining 3D Scanning (Hangeul) and the Translation Graciela Marina COLAGRECO - and Femtosecond Laser Processes in Design [Argentina], Gunter WEISS - [Austria] Nanolithography for the Andrea AROSA - [Argentina] “MUSEO DEL NOVECENTO” Fabrication of the Smallest Nativity Scene in the World VISIT TO THE MUSEUM lĉó±“DlD1Y7ģR¾Õ•í JONUŠAUSKAS, Eimantas OF MODERN ART, z

#267 #245 #258 THE CITY CENTER x½­F×ɰù­×¤­Ý·õ½­0Àï¤ÝĄ­ëċ Parametric Modelling and Cellular Automata Between of Prehistoric Pile Dwellings Geometry for the Study of Life Science and Parametric around the Alps on Architect Groins in Compound Vaults Design: Examples of Hannes Meyer Marco VITALI - [Italy] Stochastic Models to Hideo TOMITA - [Japan] Simulate Natural Processes and Generate Morphogenetic Artefacts Irene CAZZARO - [Italy]

GARDEN LEVEL - COLONNADE

27 ׎בيבא ׎ÁגيהR׏ٳז׎׏אًהzًÈJȳÁ z(çIÁ0«z x PLENARY CONFERENCE HALL DE DONATO

16:40 – 17:20 TS REPORT

Round Table with Session Chairs and Open Discussion

Session Co-Chairs Ema JURKIN Yan MA [Croatia] [China]

17:20 – 18:00 INVITED LECTURE

Session Chair Douglas DUNHAM [United States]

#IL007 Blindness of Seeing. On the Origin of the Images Agostino DE ROSA Università IUAV di Venezia, Venice [Italy]

18:00 – 23:30 CONFERENCE SOCIAL DINNER

CITY CENTER, RESTAURANT “LE BANQUE” Via Bassano Porrone, 6, Milano

28 CONFERENCE SOCIAL DINNER WILL TAKE PLACE AT THE RESTAURANT “LE BANQUE”

Close to Duomo di Milano and Teatro alla Scala, in the trendy and cheerful atmosphere of a former Eclectic/Baroque-like Bank Hall of the beginning of XX century

MEETING POINT AT 19:40 UNDER THE GREAT DOME OF THE “VITTORIO EMANUELE II” CRYSTAL GALLERY ٩ב«nXz0 ٨nXz0׏ x È)ي¨ ³È áç³Á

29 ז׎׏אוÈJȳÁٳzI0«0z!0à0zÈ0 !

MUSEO NAZIONALE DELLA SCIENZA E DELLA TECNOLOGIA “LEONARDO DA VINCI”

CONCILIAZIONE CADORNA LINEA 1 LINEA 2

S. AMBROGIO LINEA 2

S. AGOSTINO LINEA 2

GROUND FLOOR

CONFERENCE HALL COFFEE DESK CLOISTER ENTRANCE HALL - REGISTRATION DESK - REGISTRATION ENTRANCE HALL

ENTRANCE PIAZZA S. VITTORE

30 ׎אي׏׎ ׎ÁגيזR׎ٳז׎׏אًו«zXzJًÈJȳÁ ÁÈ0³(çx

MUSEO NAZIONALE DELLA SCIENZA E DELLA TECNOLOGIA “LEONARDO DA VINCI” I«00àX³XÁÁ ÁR0xȳ0Èx

REGISTRATION AND COFFEE DESK 08:40 – 09:00 ENTRANCE HALL AND CLOISTER

CLOSING PLENARY AUDITORIUM “RELOADING GEOMETRY AND GRAPHICS” 09:00 – 10:00 A GLANCE AT THE FUTURE OF GEOMETRY AND GRAPHICS, AND ISGG

Reasons for the Call Luigi COCCHIARELLA Executive Chairman [Italy]

Moderator Theodore J. BRANOFF Former President of ISGG [United States]

Panelists Hellmuth STACHEL Kenjiro SUZUKI Gunter WEISS Managing Editor of the Journal Former President of ISGG Former President of ISGG for Geometry and Graphics - JGG [Japan] [Austria] [Austria]

Hints from TS Reports “«ÎÈ˕XDRDYqDjzq Jessica ROMOR Ema JURKIN [Croatia] [Italy] [Croatia]

j•ă«Ólz'DY^†D(‘ Hirotaka SUZUKI Yan MA [Poland] [Japan] [China]

Educational Projects at Politecnico di Milano Susanna Sancassani Support Service for Research and Innovative Didactics - METID [Italy]

Questions and Disscussion

BREAK - CLOISTER COLONNADE 10:00 – 10:20

31 ׎׎يא׏ ׎ÁאيR׏׎ٳז׎׏אًו«zXzJًÈJȳÁ ÁÈ0³(çx

10:20 – 12:00 PLENARY ISGG MEETING AND CLOSING CEREMONY

Chair Yasushi YAMAGUCHI President of ISGG Conference Chairman [Japan]

Co-Chairs Baoling HAN Ema JURKIN Aura CONCI Vice-President of ISGG for the Regions Vice-President of ISGG for the Regions Vice-President of ISGG for the Regions Asia /Australia /Oceania Europe /Near East / Africa North America / South AmericaI [China] [Croatia] [)ë—ĐÀÐ]

Plenary ISGG MEETING

Steve M. Slaby AWARD

First Announcement for 19th ICGG 2020

Resolution for the 18th ICGG 2018, Milan, Italy

LAST SUPPER EXTRA PROGRAM ÁR0xȳ0Èx n0à0ÁkXzJ³z!kۭI«00àX³XÁÁ 13:30

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