Table Of ContentLecture Notes in Networks and Systems 88
Paola Magnaghi-Delfino
Giampiero Mele
Tullia Norando Editors
Faces of
Geometry.
From Agnesi to
Mirzakhani
Lecture Notes in Networks and Systems
Volume 88
Series Editor
Janusz Kacprzyk, Systems Research Institute, Polish Academy of Sciences,
Warsaw, Poland
Advisory Editors
Fernando Gomide, Department of Computer Engineering and Automation—DCA,
SchoolofElectricalandComputerEngineering—FEEC,UniversityofCampinas—
UNICAMP, São Paulo, Brazil
Okyay Kaynak, Department of Electrical and Electronic Engineering,
Bogazici University, Istanbul, Turkey
Derong Liu, Department of Electrical and Computer Engineering, University
of Illinois at Chicago, Chicago, USA; Institute of Automation, Chinese Academy
of Sciences, Beijing, China
Witold Pedrycz, Department of Electrical and Computer Engineering,
University of Alberta, Alberta, Canada; Systems Research Institute,
Polish Academy of Sciences, Warsaw, Poland
Marios M. Polycarpou, Department of Electrical and Computer Engineering,
KIOSResearchCenterforIntelligentSystemsandNetworks,UniversityofCyprus,
Nicosia, Cyprus
Imre J. Rudas, Óbuda University, Budapest, Hungary
Jun Wang, Department of Computer Science, City University of Hong Kong,
Kowloon, Hong Kong
The series “Lecture Notes in Networks and Systems” publishes the latest
developmentsinNetworksandSystems—quickly,informallyandwithhighquality.
Originalresearchreportedin proceedings andpost-proceedings represents thecore
of LNNS.
VolumespublishedinLNNSembraceallaspectsandsubfieldsof,aswellasnew
challenges in, Networks and Systems.
The series contains proceedings and edited volumes in systems and networks,
spanning the areas of Cyber-Physical Systems, Autonomous Systems, Sensor
Networks, Control Systems, Energy Systems, Automotive Systems, Biological
Systems, Vehicular Networking and Connected Vehicles, Aerospace Systems,
Automation, Manufacturing, Smart Grids, Nonlinear Systems, Power Systems,
Robotics,SocialSystems,EconomicSystemsandother.Ofparticularvaluetoboth
the contributors and the readership are the short publication timeframe and the
world-wide distribution and exposure which enable both a wide and rapid
dissemination of research output.
Theseriescoversthetheory,applications,andperspectivesonthestateoftheart
andfuturedevelopmentsrelevanttosystemsandnetworks,decisionmaking,control,
complex processes and related areas, as embedded in the fields of interdisciplinary
andappliedsciences,engineering,computerscience,physics,economics,social,and
lifesciences,aswellastheparadigmsandmethodologiesbehindthem.
** Indexing: The books of this series are submitted to ISI Proceedings,
SCOPUS, Google Scholar and Springerlink **
More information about this series at http://www.springer.com/series/15179
fi
Paola Magnaghi-Del no
(cid:129)
Giampiero Mele Tullia Norando
(cid:129)
Editors
Faces of Geometry. From
Agnesi to Mirzakhani
123
Editors
PaolaMagnaghi-Delfino Giampiero Mele
Dipartimento di Matematica Universitàdegli Studi eCampus
Politecnico di Milano Novedrate, Italy
Milan,Italy
Tullia Norando
Dipartimento di Matematica
Politecnico di Milano
Milan,Italy
ISSN 2367-3370 ISSN 2367-3389 (electronic)
Lecture Notesin Networks andSystems
ISBN978-3-030-29795-4 ISBN978-3-030-29796-1 (eBook)
https://doi.org/10.1007/978-3-030-29796-1
©SpringerNatureSwitzerlandAG2020
Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart
of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations,
recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission
orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar
methodologynowknownorhereafterdeveloped.
The use of general descriptive names, registered names, trademarks, service marks, etc. in this
publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom
therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.
The publisher, the authors and the editors are safe to assume that the advice and information in this
book are believed to be true and accurate at the date of publication. Neither the publisher nor the
authors or the editors give a warranty, expressed or implied, with respect to the material contained
hereinorforanyerrorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregard
tojurisdictionalclaimsinpublishedmapsandinstitutionalaffiliations.
ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG
Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland
Indeed,Iamfullyconvincedthatinthisage…
every Woman ought to exert herself,
and endeavor to promote the glory of her sex,
and to contribute her utmost to increase that
luster…
(Maria Gaetana Agnesi, Analytical
Institutions, translated into English by the
late Rev. John Colson M.A.F.R.S., London,
1801)
Committees
Conference Organizing Board
Alessandra Capanna, Università di Roma “La Sapienza”, Roma, Italy
Luigi Cocchiarella, Dipartimento DASTU del Politecnico di Milano, Milano, Italy
Paola Magnaghi-Delfino, Dipartimento di Matematica del Politecnico di Milano,
Milano, Italy
Giampiero Mele, Università degli Studi eCampus, Novedrate, Italy
Tullia Norando, Dipartimento di Matematica del Politecnico di Milano, Milano,
Italy
Conference International Scientific Committee
Giuseppe Amoruso, Politecnico di Milano, Milano, Italy
Alessandra Capanna, Università di Roma “La Sapienza”, Roma, Italy
Stefano Chiarenza, Università Telematica San Raffaele, Roma, Italy
Luigi Cocchiarella, Politecnico di Milano, Milano, Italy
Marie Francoise Roy, Université de Rennes 1, Rennes, France
Kay Bea Jones, Knowlton School Ohio State University, Columbus, OH, USA
Cornelie Leopold, TU Kaiserslautern, Germany
Marcella Giulia Lorenzi, Università della Calabria, Italy
Giulio Magli, Politecnico di Milano, Milano, Italy
Paola Magnaghi-Delfino, Politecnico di Milano, Milano, Italy
Giampiero Mele, Università degli Studi eCampus, Novedrate, Italy
Tullia Norando, Politecnico di Milano, Milano, Italy
Mine Özkar Kabakçioğlu, Istanbul Technical University, Turkey
Giulia Pellegri, Università degli Studi di Genova, Genova, Italy
Michela Rossi, Politecnico di Milano, Milano, Italy
vii
viii Committees
Rossella Salerno, Politecnico di Milano, Milano, Italy
Laura Tedeschini Lalli, Università Roma Tre, Roma, Italy
Daniela Velichova, Slovak University of Technology in Bratislava, KMDG
Bratislava, Slovakia
Chiara Vernizzi, Università degli Studi di Parma, Parma, Italy
Maria Zdimalova, Slovak University of Technology in Bratislava, KMDG
Bratislava, Slovakia
Preface
Someintroductoryremarksaboutthereasonsthatmotivatedthechoiceofthetopics
of the Conference Faces of Geometry. From Agnesi to Mirzakhani.
We have two purposes, equally important.
First, we have the intent of promoting interdisciplinary discussions and con-
nections between theoretical researches and practical studies on geometric struc-
tures and its applications in architecture, arts, design, education, engineering,
mathematics.
Indeed,webelievethattheserelatedfieldsofstudymightenricheachotherand
renewcommoninterestsonthesetopicsthroughnetworksofcommoninspirations.
Weinviteresearchers,teachersandstudentstosharetheirideas,todiscusstheir
scientific opinions in teaching these disciplines, in order to enhance the quality of
geometry and graphics education.
Second, but not less important. We are sure that the scientific community and
mathematics, in particular, needs the contribution of women.
Women have made significant contributions to science from the earliest times.
Historians with an interest in gender and science have illuminated the scientific
endeavours and accomplishments of women, the barriers they have faced, and the
strategiestheyhaveimplementedtohavetheirworkpeer-reviewedandacceptedin
major scientific journals and other publications. The historical, critical and socio-
logical study of these issues has become an academic discipline in its own right.
In 2018, we celebrated, in Politecnico di Milano, the anniversary of Maria
Gaetana Agnesi, Milanese mathematician, the first woman to write the first ver-
nacular handbook of mathematics for learners.
Nowadays, we celebrate the first Women in Mathematics Day, dedicated to
Maryam Mirzakhani, the first woman that wins the Fields Medal.
TheTurkishmathematicianBetulTanbay,inhertributetoMirzakhani,recalled
theclassicgeometricproblem,calledilluminationproblem,andcomparedMaryam
Mirzakhani to the candle lighting the path for others to follow. Quoting, she said
“Maryam showed forever that excellence is not a matter of gender or geography.
Maths is a universal truth that is available to us all”.
ix
x Preface
During the conference, we commemorate Giuseppina Biggiogero, the first
woman that taught Descriptive Geometry in the Faculty of Architecture at
Politecnico di Milano.
The Organizing Board of the Conference announced the birth of The
International Association in Mathematics and Art—Italy (IAMAI), promoted by
Italian scholars from various academic, disciplinary and cultural backgrounds.
The Mission of the Association is the promotion of researches and the dis-
semination of results in the various application fields, in reference to national and
international contexts, enhancing the plots and convergences between areas that
linkMathematicstoArt,openedtoformsofcollaborationandinvolvementofother
subjects, institutions and organizations.
Mathematics is the fruit of the thought both creative and logical, inspired and
deeply linked to the Beauty, recognizable in various expressions of Art, from
Architecture to Design and Fashion, from Painting to Sculpture, from Music to
Dance and Theatre, including their digital and virtual expressions. For centuries,
ItalyhasbeenalandofpromotionandencounterbetweenArtandScienceandour
countryisfullofsignsoftheItalianCulturalHeritage.Theaimoftheassociationis
to give the maximum sharing to these witness through the appropriate communi-
cation and publishing channels.
Milan, Italy Paola Magnaghi-Delfino
Novedrate, Italy Giampiero Mele
Milan, Italy Tullia Norando
