Imagine Math 7: Between Culture and Mathematics PDF
Preview Imagine Math 7: Between Culture and Mathematics
Michele Emmer Marco Abate Editors Imagine Math 7 Between Culture and Mathematics Imagine Math 7 Michele Emmer • Marco Abate Editors Imagine Math 7 Between Culture and Mathematics Editors MicheleEmmer MarcoAbate SapienzaUniversityofRome(retired) MathematicsDepartment Rome,Italy UniversityofPisa and Pisa,Italy IVSLA–IstitutoVenetodiScienze LettereedArti Roma,Italy ISBN978-3-030-42652-1 ISBN978-3-030-42653-8 (eBook) https://doi.org/10.1007/978-3-030-42653-8 ©SpringerNatureSwitzerlandAG2020 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthors,andtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressedorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. Coverillustration:FromthecatalogueoftheexhibitionbyMimmoPaladino,SullaMathematica,Palazzo Loredan,IVSLA,Venice,March-April,2019,CentroInternazionaledellaGrafica,Venezia ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG. Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland To Nanni Balestrini Preface Imagineallthepeople Sharingalltheworld... JohnLennon Imaginebuildingmathematicalmodelsthatmakeitpossibletomanageourworld better,imaginesolvinggreatproblems,imaginenewproblemsneverbeforethought oforimaginecombiningmusic,art,poetry,literature,architecture,theatreandcin- ema with mathematics. Imaginethe unpredictableand sometimes counterintuitive applicationsofmathematicsinallareasofhumanendeavour. Imaginationandmathematics,imaginationandculture,cultureandmathematics. For some years now the world of mathematics has penetrated deeply into human culture,perhapsmoredeeplythaneverbefore,evenmorethanintheRenaissance. In theatre, stories of mathematicians are staged; in cinema Oscars are won by films about mathematicians; all over the world museums and science centres dedicated to mathematics are multiplying. Journals have been founded to explore the relationships between mathematics and contemporary art and architecture. Exhibitionsare mountedto presentmathematics, artand mathematicsand images relatedtotheworldofmathematics. The volumes in the series Imagine Math are intended to help readers grasp how much that is interesting and new is happening in the relationships between mathematics,imaginationandculture. ThisseventhvolumeisdedicatedtotheItalianpoet,visualartistandwriterNanni BalestriniwhodiedMay2019.Hetookpartinthe2015VeniceConferencewitha presentationandanexhibitiondedicatedtohiscombinatorialbookTristanoandhis combinatorialfilmTristanoil(ImagineMaths5,2016). The volume starts with a homage to the Italian artist Mimmo Paladino who createdexclusivelyfor theVeniceConference 2019ten originaland uniqueworks ofartpaperdedicatedtothethemesofthemeeting.Anexhibitionofthetenworks togetherwiththeseriesofsixetchingsentitledMathematicaopenedfor1monthin PalazzoLoredaninVenice,theothervenueoftheIstitutoVenetodiScienze,Lettere edArti,wheremanyconferencesonMathematicsandCulturehavetakenplacein recentyears. vii viii Preface After the Homage to the Anniversary of the Bauhaus (1 April 1919), a large section is dedicated to the most recent Fields Medals including a Homage to Maryam Mirzakhani and the story of soap bubbles in mathematics including a presentationoftheinternationalexhibitiononsoapbubblesinartandsciencewith works of art from many Museums of the world that took place in the Galleria Nazionaledell’Umbriain Perugia,March–June2019.A section oftheconference was dedicated to cinema and theatre including two living performancesby Claire Bardainne and Adrien Mondot and the Portuguese mathematician Telma Joao Santos.Apartoftheconferencefocusedonthecommunityofmathematiciansand theirroleinliteratureandeveninpoliticswiththeextraordinaryexampleofAntanas MockusMajorofBogotá,presentedbyCarloTognatooftheUniversidadNacional deColombia.Mathematicsinthe constructionsofbridges,in particularin Italyin the1960s,waspresentedbyTulliaIori.AveryparticularcontributiononOrigami byamathematician,MarcoAbate,andanartist,AlessandroBeber.Andmanyother topics. Asusualthetopicsaretreatedinawaythatisrigorousbutcaptivating,detailed and full of evocations. This is an all-embracing look at the world of mathematics andculture.1 Rome,Italy MicheleEmmer 1P.S.Theworld,life,culture,everythinghaschangedinafewweekswiththeCoronavirus.Culture, science are the main ways to safeguard people’s physical and social life. Trust in humanity’s creativityandability.ThemottotodayinItalyisEverythingwillbefine. Acknowledgement WethankMimmoPaladinoforhispermissiontoreusetheimagespublishedinthe catalogueoftheexhibitionMimmoPaladino,SullaMathematica,PalazzoLoredan, IVSLA,Venice,March–April,2019,CentroInternazionaledellaGrafica,Venezia. ix Contents PartI HomagetoBauhaus HomagetoBauhaus,April1,1919............................................. 3 MicheleEmmer PaulKlee’s“Honey-Writing”SomeReflectionsontheRelation ofAutomatism,Automation,Machines,andMathematics.................. 5 MichaelRottmann PartII FieldsMedals MaryamMirzakhani:AMathematicalPolyglot ............................. 33 ElisabettaStrickland FromSoapBubblestoFieldsMedals:AnExhibition........................ 45 MicheleEmmer PartIII MathematicsandCinema AlternativeMethodsforDigitalContrastRestoration....................... 73 AlicePlutinoandAlessandroRizzi MathematicallyBasedAlgorithmsforFilmDigitalRestoration ........... 89 SerenaBellotti,GiuliaBottaro,AlicePlutino,andMicheleValsesia HomagetoOctaviaSpencer..................................................... 105 MicheleEmmer PartIV MathematicsandOrigami GeometricOrigami .............................................................. 117 MarcoAbate OrigamiTessellations:DesigningPaperfoldedGeometricPatterns........ 135 AlessandroBeber xi xii Contents PartV MathematicsandArt GeometricConceptofaSmoothStaircase:SinusStairs..................... 151 CornelieLeopold SublimeExperience:NewStrategiesforMeasuringtheAesthetic ImpactoftheSublime ........................................................... 167 MaddalenaMazzocut-Mis,AndreaVisconti,HoomanTahayori, andMichelaCeria MathematicsinDisneyComics................................................. 189 AlbertoSaracco PartVI MathematicsandApplications TheLanguageofStructures .................................................... 213 TulliaIori MathematicalAspectsofLeonardo’sProductioninMilan ................. 231 ElenaMarchettiandLuisaRossiCosta AMathematicalImprovementoftheSkateCurves.......................... 247 EnricoPeranoandMarcoCodegone PartVII MathematicsandPhysics InfinityinPhysics ................................................................ 265 Jean-MarcLévy-Leblond PartVIII Mathematicsand ... HyperbolicHoneycomb ......................................................... 279 GianMarcoTodesco ExplainingCybersecuritywithFilmsandtheArts .......................... 297 LucaViganò PartIX Mathematicians APortraitoftheMathematicalTribe.......................................... 313 MarcoLiCalzi Creation/Representation/Transmission:Culture and/ofMathematicians’Autobiographies..................................... 333 OdileChatirichvili MathematicalImaginationand the Preparationof the Child forScience:SparksfromMaryEverestBoole................................ 347 PaolaMagroneandAnaMillánGasca AntanasMockusandtheCivilRoleofaMathematician.................... 363 CarloTognato
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