10066nam 2200541 450 99649034740331620230720170456.03-030-92690-7(MiAaPQ)EBC7081064(Au-PeEL)EBL7081064(CKB)24786776500041(PPN)264958926(EXLCZ)992478677650004120230131d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierImagine math 8 dreaming Venice /edited by Michele EmmerCham, Switzerland :Springer,[2022]©20221 online resource (584 pages)Print version: Emmer, Michele Imagine Math 8 Cham : Springer International Publishing AG,c2022 9783030926892 Includes bibliographical references and index.Intro -- Preface -- Contents -- Editors and Contributors -- About the Editors -- Contributors -- Part I Homage to Mimmo Paladino -- 8 Works by Mimmo Paladino -- Mimmo Paladino -- Il Principio Della Prospettiva -- References -- Part II Dreaming in Venice -- Dreaming Venice -- References -- The Napoleonic Fresco in Palazzo Loredan, Thinkingof the Bicentennial -- MOSE: The Defence System to Safeguard Venice and Its Lagoon -- 1 Introduction -- 2 The Venice Lagoon -- 3 A Wounded Lagoon -- 4 A Long Story -- 5 Defence from Floods: Mobile Barriers at the Lagoon Inlets -- 6 How Do the Barriers Work -- 7 Recent Times -- 8 Since 2006 a Comparison with Other Countries Involved in Coastal Defence -- Part III Art and Mathematics -- The Rise of Abstractionism: Art and Mathematics -- 1 ``Breaking the Ties with the Concrete and Tangible'' -- 2 Italian Mathematicians Contribute to Construct a European Culture -- 2.1 Felice Casorati -- 2.2 Eugenio Beltrami -- 3 From Edgard Degas to Shigefumi Mori -- References -- Aestheticizing an Einsteinian World: The Idea of Space-Time in Russian Literary Theory and in Art Criticism -- 1 The Chronotope in Literary Theory and Beyond: Bakhtin -- 2 The Icon as a Chronotope: Florensky -- 3 Conclusion -- References -- Cagli, Olson, Coxeter -- References -- A Fault in the Order: Thoughts on Frayed Strings -- 1 Poems for Collapse from COVID -- 2 A Thread for Two -- The Multivalent Fourth Dimension and the Impact of Claude Bragdon's A Primer of Higher Space on Twentieth and Twenty-First Century Art -- References -- "Where Natural Law Holds No Sway": Geometrical Optics and Divine Light in Dante, Michelangelo, and Raphael -- 1 Dante and the Limits of Optics -- 2 Michelangelo and Raphael: Painted Light -- References -- On the Classification and Recording of Colours According to the Methods of the Painter Adolfo Ferraris: A Brief Note.References -- Colored Figurative Tilings in Pre-Incan Textiles -- 1 Introduction and Preliminaries -- 2 Pattern A -- 3 Pattern B -- 4 Pattern C -- 5 Pattern D -- 6 Patterns a, b, c, and d Woven in Other Techniques -- 6.1 Pattern a -- 6.2 Pattern b -- 6.3 Pattern c -- 6.4 Pattern d -- 7 Conclusion -- References -- The Artistic (and Practical) Utility of Hyperspace -- 1 Hypercubes Tessellated -- 2 Planar Rotations -- 3 Slices Vs. Projections -- 4 Fat Topology -- 5 Quasicrystals -- 6 Something from Nothing -- 7 Shape Shifting in the 1970s -- Appendix 1 -- Bibliography -- From Vision to Perception: Chardin's Eighteenth Century Cultural and Scientific Approach to Painting (and Soap Bubbles) -- 1 Conclusion: From the Objective Sharp Vision to a Human Perceptive Experience -- References -- Part IV Architecture and Mathematics -- Andrea Palladio and Zaha Hadid -- 1 Palladio, Villa Malcontenta -- 2 Venezia, Mostra Internazionale Di Architettura, 2008 -- 3 Conclusions -- Addendum -- References -- Sergio Musmeci and the Calculation of the Form -- 1 The First Experiences -- 2 Networks of Beams -- 3 Equicompressed Minimal Surfaces -- 4 Equi-Stressed Surfaces -- 5 The Nameless Shape Bridge -- References -- Twenty Years of Il Giardino di Archimede -- Part V Design and Mathematics -- The Multifaceted Abraham Sharp -- 1 Introduction -- 2 Abraham Sharp's Life and Work -- 3 Sharp's Boxwood Polyhedra Models -- 4 The "Sharpohedron" -- 5 Conclusion: Sharp the Artist -- References -- Learning by Metadesigning -- 1 Introduction by Giordano Bruno -- 2 The Projects -- 2.1 Raphaël -- 2.2 Paròla -- 2.3 Ápeiron - ἄπεo -- 2.4 Koi -- 2.5 Caustics -- 2.6 Tangle -- 2.7 Mutaforma -- 2.8 / Dis-còrde / -- 2.9 Tensioni -- References -- Part VI Homage to Roger Penrose -- A Little Homage to Roger Penrose -- 1 M. C. Escher and Penrose -- 2 Penrose and Quasi-Crystals -- References.Part VII Mathematics and Physics -- Identity and Difference: How Topology Helps to Understand Quantum Indiscernibility -- 1 Introduction -- 2 Old Puzzles -- 3 Quantum Abandon of Individuality -- 4 Superpositions, Interferences and Phases -- 5 Feynman's Paths -- 6 Where the Topological Properties Come From -- 7 Permutations and Braids -- References -- Physics in a Small Bedroom -- 1 Physics Teaching and Research in the Time of the Covid Pandemic -- 2 Toying with Hard Spheres -- 3 Playing with Soft Bubbles -- 4 Colours Brighten up a Dull Day -- 5 Putting a Spin on the Lock-in -- 6 Return to the Lab -- References -- Part VIII Mathematics and Applications -- The Train of Artificial Intelligence -- 1 AI Is Everywhere -- 2 AI Origins and Developments -- 3 Machine Learning and Training -- 4 Looking for a Clapperboard via AI -- 4.1 Experiments -- 5 Conclusions -- References -- Origami and Fractal Solutions of Differential Systems -- 1 A Mathematical Origami from the Analytic Point of View -- 2 The Fractal Nature of the Solutions of the Dirichlet Problem -- 3 A Strategy to Solve the Differential Problem -- 4 The Dirichlet Problem with Non-homogeneous Boundary Condition -- References -- The Tangled Allure of Recursion -- 1 Tower of Hanoi -- 2 Anagrams -- 3 Visual Recursion -- 4 Sierpiński Triangle -- 5 Natural Shapes -- 6 3D -- 7 Alexander's Horned Sphere -- References -- Desert Locusts: Can Mathematical Models Help to Control Them? -- 1 From Outbreaks to Plagues -- 2 Impacts -- 3 Current Situation -- 4 Controls/Programmes -- 5 Models and Data -- 6 Conclusions -- References -- Part IX Literature and Mathematics -- Soul Searchin' -- 1 The Algebraic Playground -- Disclaimer -- Reference -- Geometric Metaphors and Linguistic Genealogy -- 1 Similarities and Differences Among Languages.2 Trees and Waves in the Representation of the Relationships Between Languages: From the Discrete to the Continuous -- 3 Stairways, Chains, and Ropes: From the Continuous to the Discrete -- References -- A Mathematical Physicist in Hell -- 1 The Pure Tuscan Language -- 2 The Intervals Between the Skies -- 3 For a Few Reasons of Our Own -- 4 A Line That Leads Naturally Towards the Centre -- 5 In Search of the Size of a Giant -- 6 By Inviting Him to Press the Pace -- 7 …to Give Others the Opportunity to Interfere so Much More… -- Annex 1 The Volume of Hell -- Annex 2 Gravity in Hell -- References -- footlnk::333! -- Don't Tell Me the Cybersecurity Moon Is Shining… -- 1 Show, Don't Tell! -- 2 Show and Tell -- 3 Cybersecurity Show and Tell -- 3.1 ``Yes, I Am a Criminal. My Crime Is that of Curiosity. I Am a Hacker, and This Is My Manifesto.'' Hackers -- 3.2 ``I Have Said Enough to Convince You that Ciphers of This Nature Are Readily Soluble.'' TheGoldBug -- 3.3 ``I'm in a Secret Club.'' Peppa -- 3.4 ``I'm Spartacus!'' Spartacus -- 4 Conclusions -- References -- Part X Music and Mathematics -- Sounds, Numbers and Other Fancies -- 1 Invisible Polyphony -- 2 Natural Counterpoint -- 3 Ghost Notes -- 4 Converging and Diverging Forms -- 5 Space Translation -- 6 Time -- References -- Euler and MusicMusing Euler's Identity -- 1 Introduction -- 2 Euler and Music -- 3 Euler Seen by an Eighteenth-Century Musician -- 4 Musing the Euler Equation: From Equation to Counterpoint -- 5 Euler's Equation -- 6 The Number of Napier as a Musical Theme and Sine and Cosine as a Mutation of a Musical Canon -- Further Reading -- The Shapes of Violin -- 1 From Fidula to Violin -- 2 Echoes from Ancient World -- 3 The Elegance of Scroll -- 4 Straightedge and Compass Construction -- 5 Acoustic Surfaces -- 6 Conclusions -- Iconographic References -- References.Part XI Women and Mathematics -- Women, Academia, Math: An Ephemeral Golden Braid -- 1 Introduction -- 2 Two Faces of an Old Problem: The Leaky Pipeline and the Glass Ceiling -- 3 A New Problem: The Glass Door -- 4 Good Practices and Affirmative Actions for the General Public -- References -- Women in Charge of Mathematics -- References -- Part XII Comics and Mathematics -- Without Title -- 2012 -2021: A Comics&amp -- Science Experience -- Is Math Useful? -- Introduction -- 1 Is Math Useful? -- 2 How Is Math Used in War Time? -- 3 How Can Pure Math be Useful? -- 3.1 Number Theory and Cryptography -- 3.1.1 Number Theory -- 3.1.2 Cryptography -- 3.1.3 Number Theory and Cryptography -- 3.2 Radon-Nikodym Antitransformation and Computed Axial Tomography -- 4 Why Politicians Should Know Math? -- 4.1 Education System in the US, Covid-19 Death Toll and Simpson's Paradox -- 5 How Do Politicians Use Math? -- 5.1 Paradoxes of Elections -- 6 Is Math Useful to Me? -- 7 Is Math Usefulness Relevant to Learners? -- 8 Is Math Popularization Useful?: A Math Popularizer's Apology -- Figures and acknowledgements -- References.MathematicsMathematicsSocial aspectsMatemàticathubCondicions socialsthubLlibres electrònicsthubMathematics.MathematicsSocial aspects.MatemàticaCondicions socials510Emmer MicheleMiAaPQMiAaPQMiAaPQBOOK996490347403316Imagine math 83004696UNISA