The Mathematical Intelligencer

2005 - 2026

Current editor(s): Marjorie Senechal

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Volume 48, issue 3, 2026

Blanche Descartes and the Existence of Mathematicians pp. 203-219

Tommy R. Jensen, Richard Steinberg, Michael Stiebitz and Bjarne Toft

When Answers Are Automated: What Becomes of Mathematics? pp. 220-221

Bimal Kumar Mishra

Franel Numbers and a Continued Fraction Conjecture Discovered by the Ramanujan Machine pp. 222-227

Joseph Tonien

Existential Dread pp. 228-229

Colin Adams

A Remark on Levrie’s Proof of Heron’s Formula pp. 230-231

Michael Hardy

Sliding Block Puzzles with a Twist: On Segerman’s 15 + 4 Puzzle pp. 232-243

Patrick Garcia, Angela Hanson, David Jensen and Noah Owen

The Word Problem for Groups pp. 244-244

Curtis Franks

Plinths and Pedestals pp. 245-248

Oleg Ogievetsky and Senya Shlosman

A Synthetic Proof of the Spherical and Hyperbolic Pythagorean Theorem on Models in Euclidean and Minkowski Space pp. 249-252

Michaël Maex

Sectarian Algebras: A Wry Reflection on Mathematical Exposition pp. 253-256

Antonio J. Pan-Collantes

Ruler and Compass Constructions in the Lemniscate and the 17-gon pp. 257-265

Mariángeles Gómez-Molleda and Joan-C. Lario

“All Set at 4:13”: The Inversion of Pi in The Clocks pp. 266-267

Dirk Huylebrouck

Plane Geometry Proofs of Identities and Inequalities Among Classical Means pp. 268-269

Tuan Minh Le

A 250-Year-Old Theorem Walks into a Courtroom pp. 270-273

Tommy Andersson and Erik Angner

Cultivating a Culture of Success: The National Math Alliance’s Role in Fostering PhD Graduates in Iowa: A Reflection on Transformation and Community pp. 274-279

Syvillia Averett and Candice Price

The Rising Sea: Foundations of Algebraic Geometry pp. 281-284

Paolo Aluffi

Ad fontes – Die Entstehung der Naturwissenschaften im Blick auf Leibniz pp. 285-291

Johan C.-E. Stén

The Secret Lives of Numbers: A Hidden History of Math’s Unsung Trailblazers pp. 292-293

Jeff Suzuki

Billiards, Surfaces, and Geometry pp. 294-296

Ron Umble

The Circle Number π pp. 297-298

Robin Wilson

Volume 48, issue 2, 2026

Mathematics on TikTok: Democratization or Distortion? pp. 109-111

Andy Domínguez-Monterroza

Curve Stitching and Dancing Planets pp. 112-124

Frances Herr

How to Not Let Them Get Away With It: A Note on the Mathematics of Infinite Exploitation pp. 125-127

Rodrigo Treviño

The Equilateral Progeny of Napoleon and Fermat pp. 128-130

Raymond Viglione

Heirloom pp. 131-131

Pedro Poitevin

Associative and Commutative dg-Algebras in Positive Characteristic pp. 132-137

Oisín Flynn-Connolly

The Speaker pp. 138-140

Colin Adams

An Extension of the Mean Value Theorem pp. 141-143

Jean B. Lasserre

The Fundamental Theorem of Arithmetic in the Context of Linear Algebra pp. 144-148

Árpád Bényi and Branko Ćurgus

Dart-Shaped Visualization of a Square Number and a Companion Result pp. 149-149

Günhan Caglayan

A Spiral That Accommodates Both Wheels of a Bicycle pp. 150-157

Stan Wagon

All Correct: Excellently Solved, Set, and Embellished: Nineteenth-Century Fair Copy Books at the University of St Andrews pp. 158-166

Deborah Kent

The Wonderful World of Continued Fractions pp. 167-167

Paul Levrie

Mathematical Metamorphosis: From Kepler to STEAM Culture and Education in Linz, Austria pp. 168-176

Kristóf Fenyvesi, Daniel Jarvis, Guillermo Bautista, Markus Hohenwarter and Zsolt Lavicza

Doubling Modulo Odd Integers, Generalizations, and Unexpected Occurrences pp. 177-192

Jean-Paul Allouche, Manon Stipulanti and Jia-Yan Yao

Around the World in Eighty Games By Marcus du Sautoy pp. 194-196

Gizem Karaali

Do Plants Know Math? Unwinding the Story of Plant Spirals, from Leonardo da Vinci to Now pp. 197-199

Satyan L. Devadoss

AI Snake Oil: What Artificial Intelligence Can Do, What It Can’t, and How to Tell the Difference pp. 200-201

Lew Ludwig

Games and Recreations 2 pp. 202-202

Robin Wilson

Volume 48, issue 1, 2026

On the Past of the Future pp. 1-7

John McCleary

Metrics over Merit: The Hidden Costs of Citation Impact in Research pp. 1-3

Vugar Ismailov

Exploring Mazes at Random pp. 4-8

Nikita Gladkov and Igor Pak

The Mathematician and the Devil pp. 8-11

Alexander Shnirelman

Does Newtonian Dynamics Need Euclidean Space? pp. 9-15

Alain Albouy

An Interview with Jean-Pierre Bourguignon pp. 12-21

Karen Hunger Parshall and Sergei Tabachnikov

The Role of MathSciNet and zbMATH Open in the Open Access Transition of Mathematical Journals pp. 16-17

Ravindra K. Bisht

Why Does the Person in a Photo Always Look at Us? pp. 18-19

Jaigyoung Choe

An Inequality for Anti-self-polar Polytopes pp. 20-21

Mikhail G. Katz

Euclid’s Theorem, Eureka! pp. 22-22

Josh Hiller

Publisher Correction: An Interview with Jean-Pierre Bourguignon pp. 22-22

Karen Hunger Parshall and Sergei Tabachnikov

Letter of Recommendation Colin Adams pp. 23-24

Colin Adams

The Smooth Power of the Neandertal Method pp. 23-33

Aaron Montag, Tim Reinhardt and Jürgen Richter-Gebert

A Surprising Magic Trick, Its Mathematical Background, and Some Generalizations pp. 25-32

Ehrhard Behrends

Proof Without Words: Sums of Odd Squares pp. 33-34

Stephan Berendonk

The Doors of Wisdom Are Never Shut pp. 34-38

Colin Adams

Reflections on Riemann’s Most Famous Lecture pp. 35-45

David E. Rowe

Diamond Open Access: The AMR Experiment pp. 39-42

Alex Kontorovich

An Episode in pp. 43-49

Christoph Lamm

Growth Forms of Tilings pp. 46-56

Peter Hilgers and Anton Shutov

J. R. Kline: Unsung Hero of the First International Congress of Mathematicians in the USA pp. 50-57

Karen Hunger Parshall

The Mathematical Structure of Pythagorean-like Tuning Systems pp. 57-65

Götz Kersting

Quantum Mechanics for Daily Use pp. 58-66

Tadashi Tokieda

Seeing Through Ice pp. 66-70

Olga Anosova and Marjorie Senechal

You Can Nominate the Next Abel Laureate! pp. 67-70

Helge Holden

The Mathematical Tourist in and Around Philadelphia pp. 71-76

Jonathan Block

In the Beginning Was... Gaussian Topology?! pp. 71-88

Robert J. Adler

They Must Form International Unions! A Glimpse into the Past pp. 77-79

Marjorie Senechal

Ptolemy’s Equation and Kin pp. 80-86

Katie Waddle

What It Takes to Film Mathematics pp. 87-93

Oliver Gross

Wheels of Time: Reading the Konark Sun Temple’s Stone Sundials pp. 89-92

Suvendu Nayak

Iterating Sine, Equivalence Classes of Variable Changes, and Groups with Few Conjugacy Classes pp. 93-98

Pavel Etingof

A Cultural History of Mathematics in Antiquity Edited by Michael N. Fried pp. 96-98

Victor Katz

A Cultural History of Mathematics in the Medieval Age Edited by Joseph W. Dauben, Clemency Montelle, and Kim Plofker pp. 99-101

Jens Høyrup

The Mending of Broken Bones: A Modern Guide to Classical Algebra by Paul Lockhart pp. 100-101

Thomas Hunter

A Cultural History of Mathematics in the Early Modern Age pp. 102-104

Robert E. Bradley

The Five Sides of Marjorie Rice: How to Discover a Shape pp. 102-103

Marjorie Senechal

Nonstandard Notebook: Mathematically Ruled Pages for Unruly Thoughts pp. 104-105

John McCleary

A Cultural History of Mathematics in the Eighteenth Century Edited by Maarten Bullynck pp. 105-107

Niccolò Guicciardini

Everything Is Predictable: How Bayesian Statistics Explain Our World pp. 106-107

Johanna Hardin

A Cultural History of Mathematics in the Nineteenth Century Edited by Maarten Bullynck pp. 108-112

John McCleary

Games and Recreations 1 pp. 108-108

Robin Wilson

A Cultural History of Mathematics in the Modern Age pp. 113-116

Norbert Schappacher

International Congresses pp. 117-117

Robin Wilson