Serves as an authoritative source for the interplay between mathematics and different disciplines and explores the most important questions on interdisciplinarity.

Table of Contents

• Part I. Mathematics, Art, and Aesthetics
• – Mathematics, Art, and Aesthetics: An Introduction - Bharath Sriraman and Kyeonghwa Lee
• – The Art of Modern Homo Habilis Mathematicus, or: What Would Jon Borwein Do? - Scott B. Lindstrom
• – The Beauty of Blaschke Products - Ulrich Daepp, Pamela Gorkin, Gunter Semmler, and Elias Wegert
• – Looking Through the Glass - Annalisa Crannell
• – Designing Binary Trees - Vincent J. Matsko
• – Homeomorphisms Between the Circular Disc and the Square - Chamberlain Fong
• – A Visual Overview of Coprime Numbers - Benjamin A. Itzá-Ortiz, Roberto Lopez-Hernandez, and Pedro Miramontes
• – Almost All Surfaces Are Made Out of Hexagons - Hyungryul Baik
• – Anamorphosis Reformed: From Optical Illusions to Immersive Perspectives - António B. Araújo
• – Anamorphosis: Between Perspective and Catoptrics - Agostino De Rosa and Alessio Bortot
• – Geometric and Aesthetic Concepts Based on Pentagonal Structures - Cornelie Leopold
• – Mathematics and Origami: The Art and Science of Folds - Natalija Budinski
• – Geometric Strategies in Creating Origami Paper Lampshades: Folding Miura-ori, Yoshimura, and Waterbomb Tessellations - Jiangmei Wu
• – Mathematical Design for Knotted Textiles - Nithikul Nimkulrat and Tuomas Nurmi
• – Art and Science of Rope - Alexander Åström and Christoffer Åström
• – A Survey of Cellular Automata in Fiber Arts - Joshua Holden and Lana Holden
• – Mathematics and Art: Connecting Mathematicians and Artists - Joseph Malkevitch
• – Mathematics and Art: Unifying Perspectives - Heather M. Russell and Radmila Sazdanovic
• – Spherical Perspective - Antonio B. Araujo
• – A Hidden Order: Revealing the Bonds Between Music and Geometric Art - Part One - Sama Mara and Lee Westwood
• – A Hidden Order: Revealing the Bonds Between Music and Geometric Art - Part Two - Lee Westwood and Sama Mara
• – Korean Traditional Patterns: Frieze and Wallpaper - Hyunyong Shin, Shilla Sheen, Hyeyoun Kwon, and Taeseon Mun
• – Projections of Knots and Links - Alexander Astrom and Christoffer Astrom
• – Comparative Temple Geometries - Kelly McGonigal
• – Wasan Geometry - Hiroshi Okumura
• – Geometries of Light and Shadows, from Piero della Francesca to James Turrell - Agostino De Rosa and Francesco Bergamo
• – TOND to TOND: Self-Similarity of Persian TOND Patterns, Through the Logic of the X-Tiles - Jean-Marc Castera
• – Artistic Manifestations of Topics in String Theory - Nadav Drukker
• – Cutting, Gluing, Squeezing, and Twisting: Visual Design of Real Algebraic Surfaces - Stephan Klaus
• – Double Layered Polyhedra - Rinus Roelofs
• Part II. Mathematics, Humanities, and the Language Arts
• – Mathematics, Humanities, and the Language Arts: An Introduction - Gizem Karaali and Bharath Sriraman
• – Mathematics and Poetry: Arts of the Heart - Gizem Karaali and Lawrence M. Lesser
• – “Elegance in Design”: Mathematics and the Works of Ted Chiang - Jessica K. Sklar
• – Running in Shackles: The Information-Theoretic Paradoxes of Poetry - Dmitri Manin
• – Metaphor: A Key Element of Beauty in Poetry and Mathematics - Sanziana Caraman and Lorelei Caraman
• – Poems Structured by Mathematics - Daniel May
• – Lewis Carroll's Defense of Euclid: Parallels or Contrariwise - Natalie Schuler Evers
• Part III. Mathematics and Architecture
• – Architecture and Mathematics: An Ancient Symbiosis - Michael J. Ostwald
• – Egyptian Architecture and Mathematics - Corinna Rossi
• – Labyrinth - Tessa Morrison
• – Classical Greek and Roman Architecture: Mathematical Theories and Concepts - Sylvie Duvernoy
• – Classical Greek and Roman Architecture: Examples and Typologies - Sylvie Duvernoy
• – Mathematics and the Art and Science of Building Medieval Cathedrals - Josep Lluis i Ginovart
• – Renaissance Architecture - Sylvie Duvernoy
• – Baroque Architecture - Sylvie Duvernoy
• – Temple of Solomon - Tessa Morrison
• – Utopian Cities - Tessa Morrison
• – Tessellated, Tiled, and Woven Surfaces in Architecture - Michael J. Ostwald
• – Stereotomy: Architecture and Mathematics - Giuseppe Fallacara and Roberta Gadaleta
• – Fractal Geometry in Architecture - Josephine Vaughan and Michael J. Ostwald
• – Parametric Design: Theoretical Development and Algorithmic Foundation for Design Generation in Architecture - Ning Gu, Rongrong Yu, and Peiman Amini Behbahani
• – Shape Grammars: A Key Generative Design Algorithm - Ning Gu and Peiman Amini Behbahani
• – Space Syntax: Mathematics and the Social Logic of Architecture - Michael J. Dawes and Michael J. Ostwald
• – Isovists: Spatio-visual Mathematics in Architecture - Michael J. Dawes and Michael J. Ostwald
• – Fractal Dimensions in Architecture: Measuring the Characteristic Complexity of Buildings - Michael J. Ostwald and Josephine Vaughan
• Part IV. Mathematics in Society
• – Mathematics in Society: An Introduction - Bharath Sriraman
• – Probabilistic Thinking from Elementary Grades to Graduate School - John Beam
• – Risk and Decision Making: Modeling and Statistics in Medicine - Fundamental Aspects - Manfred Borovcnik
• – Risk and Decision Making: Modeling and Statistics in Medicine - Case Studies - Manfred Borovcnik
• – To Justice Through Statistics - Mary W. Gray
• – Actuarial (Mathematical) Modeling of Mortality and Survival Curves - Patrick L. Brockett and Yuxin Zhang
• – Mathematics in the Maritime - Kyra Mycroft and Bharath Sriraman
• – Mathematics and Economics, with Special Attention to Social Choice Theory - Maurice Salles
• – Social Algorithms and Optimization - Xin-She Yang
• – Applications of the Gini Index Beyond Economics and Statistics - Roberta La Haye and Petr Zizler
• – A Computational Music Theory of Everything: Dream or Project? - Guerino Mazzola
• – Groovy Mathematics: Toward a Theoretical Model of Rhythm - Carl Haakon Waadeland
• – Music, Dance, and Differential Equations - Lorelei Koss
• – Breaking the Ice: Figure Skating - Diana Cheng
• – The Mathematical Foundations of the Science of Cities - Christa Brelsford and Taylor Martin
• – Gilles Deleuze's The Fold: Calculus and Curvilinear Design - Menno Hubregtse
• – Mathematics and Oenology: Exploring an Unlikely Pairing - Lucio Cadeddu, Alessandra Cauli, and Stefano De Marchi
• – CombinArtorial Games - Urban Larsson
• – Combinatorial Artists: Counting, Permutations, and Other Discrete Structures in Art - Lali Barrière
• Part V. Mathematics, Science, and Dynamical Systems
• – Mathematics, Science, and Dynamical Systems: An Introduction - Torsten Lindström and Bharath Sriraman
• – Modern Ergodic Theory: From a Physics Hypothesis to a Mathematical Theory with Transformative Interdisciplinary Impact - Doğan Çömez
• – Two-Way Thermodynamics - L. S. Schulman
• – Visualizing Four Dimensions in Special and General Relativity - Magdalena Kersting
• – Coevolution of Mathematics, Statistics, and Genetics - Yun Joo Yoo
• – Topology in Biology - Ann Sizemore Blevins and Danielle S. Bassett
• – Dynamical Systems and Fitness Maximization in Evolutionary Biology - William Basener, Salvador Cordova, Ola Hössjer, and John Sanford
• – Damped Dynamical Systems for Solving Equations and Optimization Problems - Mårten Gulliksson, Magnus Ögren, Anna Oleynik, and Ye Zhang
• – Mathematics and Climate Change - Gerrit Lohmann
• – Mathematical Models Can Predict the Spread of an Invasive Species - John G. Alford
• – Mathematics and Recurrent Population Outbreaks - Torsten Lindström
• – Limit Cycles in Planar Systems of Ordinary Differential Equations - Torsten Lindström
• – Mathematical Models in Neuroscience: Approaches to Experimental Design and Reliable Parameter Determination - Denis Shchepakin, Leonid Kalachev and Michael Kavanaugh
• – Interdisciplinary Mathematics and Sciences in Schematic Ocean Current Maps in the Seas Around Korea - Kyung-Ae Park, Jae-Jin Park, Ji-Eun Park, Byoung-Ju Choi, Sang-Ho Lee, Do-Seong Byun, Eun-Il Lee, Boon-Soon Kang, Hong-Ryeol Shin, and Sang-Ryong Lee
• Part VI. Mathematics, History, and Philosophy
• – Mathematics, History, and Philosophy: An Introduction - Bharath Sriraman
• – Writing the History of Mathematics: Interpretations of the Mathematics of the Past and Its Relation to the Mathematics of Today - Johanna Pejlare and Kajsa Brating
• – Mathematics and Cultures Across the Chessboard: The Wheat and Chessboard Problem - Alberto Bardi
• – Ancient Greek Methods of Measuring Astronomical Sizes - Adam Clinch
• – Space and Time in the Foundations of Mathematics, or Some Challenges in the Interactions with Other Sciences - Giuseppe Longo
• – Baroquian Folds: Leibniz on Folded Fabrics and the Disruption of Geometry - Michael Friedman
• – Nyaya Methodology and Western Mathematical Logic: Origins and Implications - Martin Schmidt and Bharath Sriraman
• – Reception and Contestation: Mathematics and Esoteric Spirituality, 1875-1915 - K. G. Valente
• – Islamic Design and Its Relation to Mathematics - Brian Wichmann and David Wade
• – Mathematical Explanations and Mathematical Applications - Markus Pantsar
• Part VII. Mathematical Influences and New Directions
• – Introduction to Mathematical Influences and New Directions - K. G. Valente
• – Ethnomodelling as the Translation of Diverse Cultural Mathematical Practices - Milton Rosa and Daniel Clark Orey
• – Cognition, Interdisciplinarity, and Equity - Aditya P. Adiredja
• – Mathematics and Rhetoric - G. Mitchell Reyes
• – Modes and Modalities of Mathematical Authority: Disseminating the “New Infinite,” 1870-1920 - K. G. Valente
• – “Bok Bok”: Exploring the Game of Chicken in Film - Jennifer Firkins Nordstrom and Jessica K. Sklar
• – Moral Mathematics - Sarah Voss
• – Feminist Theories Informing Mathematical Practice - Linda McGuire
• – Queer(y)ing Mathematical Knowledge and Practices - K. G. Valente