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Intro; Imagine Math 6; Contents; Editors and Contributors; About the Editors; Contributors; Introduction; Part I: Homage to Zaha Hadid; ZHA, Zaha Hadid Architects; References; Mathematics: The Winton Gallery, Science Museum, London (2016); Serpentine Sackler Gallery, Royal Park of Kensington Gardens, London (2013); Investcorp Building for Oxford University's Middle East Centre at St Antony's College (2015); Zaha Hadid: Fluid and Topological Architecture; New Geometries, New Spaces: Topology and Architecture; Zaha Hadid in Venice; Conclusions; References; Part II: Mathematics & Media.
A Mathematician at MUSE, the Science Museum of TrentoMUSE, the Science Museum of Trento; Some Important Features of MUSE; The Activity of the Museum Measured by Numbers; Temporary Exhibition; an Example with Math; Conclusion; References; To Bring Math to the World, Start with Mathematicians; My Life in the Shape of Maupertuis; Resurrecting Maupertuis; Maupertuis's Other Achievements; On Screen and Stage; References; Part III: Mathematics & Music; From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology.
The "Mathemusical" Dynamics Between Music and Mathematics (via Computer Science)The Originality of a Structural Approach in MIR (Music Information Research); A (Very) Short Journey Through Some Tools and Research Axes of the SMIR Project; The Interplay Between Mathematical Morphology and Formal Concept Analysis in Computational Musicology; Generalized Tonnetze, Persistent Homology and Automatic Classi cation of Musical Styles; Category Theory and Transformational (Computer-Aided) Music Analysis; References; Mathematics and Labyrinths in Twentieth Century's Music; Introduction.
Claude Debussy and the Golden SectionOlivier Messiaen, Palindromes and Prime Numbers; Georgy Ligeti: Fractal Geometry and Chaos Theory; Conclusions; References; Part IV: Mathematics & Applications; How to Prevent Crimes Using Earthquakes; Minority Report; Preventing vs. Predicting; Earthquakes and Crimes; The Model; Final Thoughts; References; A Negative Number as Sum of All Natural Numbers; Introduction; Standard De nition of Convergence; Cesaro Summation and a Theorem by Abel; Ramanujan's Computation; Analytical Continuation and Smoothed Asymptotics; Conclusion; References.
The Arch of Titus at the Circus Maximus: From Mathematical Models to Virtual ReconstructionIntroduction; The 3D Model; Column Radius; The Epigraph; Conclusions; References; The Space of Planar Soap Bubble Clusters; Soap Bubble Clusters; Dimension of Equilibria; Small Clusters; 3D Clusters; de Sitter Spacetime; Appendix: Decoration; References; Mathematics as a Social Language: A (Past and Present) Phenomenology; Part V: Visual Mathematics; Balance in ... Forms; Mathematics and Balance; Course in Theory of the Form; Course in Mathematics for Design; The Projects; References.
A Mathematician at MUSE, the Science Museum of TrentoMUSE, the Science Museum of Trento; Some Important Features of MUSE; The Activity of the Museum Measured by Numbers; Temporary Exhibition; an Example with Math; Conclusion; References; To Bring Math to the World, Start with Mathematicians; My Life in the Shape of Maupertuis; Resurrecting Maupertuis; Maupertuis's Other Achievements; On Screen and Stage; References; Part III: Mathematics & Music; From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology.
The "Mathemusical" Dynamics Between Music and Mathematics (via Computer Science)The Originality of a Structural Approach in MIR (Music Information Research); A (Very) Short Journey Through Some Tools and Research Axes of the SMIR Project; The Interplay Between Mathematical Morphology and Formal Concept Analysis in Computational Musicology; Generalized Tonnetze, Persistent Homology and Automatic Classi cation of Musical Styles; Category Theory and Transformational (Computer-Aided) Music Analysis; References; Mathematics and Labyrinths in Twentieth Century's Music; Introduction.
Claude Debussy and the Golden SectionOlivier Messiaen, Palindromes and Prime Numbers; Georgy Ligeti: Fractal Geometry and Chaos Theory; Conclusions; References; Part IV: Mathematics & Applications; How to Prevent Crimes Using Earthquakes; Minority Report; Preventing vs. Predicting; Earthquakes and Crimes; The Model; Final Thoughts; References; A Negative Number as Sum of All Natural Numbers; Introduction; Standard De nition of Convergence; Cesaro Summation and a Theorem by Abel; Ramanujan's Computation; Analytical Continuation and Smoothed Asymptotics; Conclusion; References.
The Arch of Titus at the Circus Maximus: From Mathematical Models to Virtual ReconstructionIntroduction; The 3D Model; Column Radius; The Epigraph; Conclusions; References; The Space of Planar Soap Bubble Clusters; Soap Bubble Clusters; Dimension of Equilibria; Small Clusters; 3D Clusters; de Sitter Spacetime; Appendix: Decoration; References; Mathematics as a Social Language: A (Past and Present) Phenomenology; Part V: Visual Mathematics; Balance in ... Forms; Mathematics and Balance; Course in Theory of the Form; Course in Mathematics for Design; The Projects; References.