The Mathematical Intelligencer

2005 - 2025

Current editor(s): Marjorie Senechal

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Volume 43, issue 4, 2021

On Translations of Hilbert’s Grundlagen pp. 1-1

Albert C. Lewis

A Direct Proof of the Steiner–Lehmus Theorem pp. 2-2

Victor Pambuccian

Is There a Direct Geometric Proof of the Steiner–Lehmus Theorem? pp. 3-4

O. A. S. Karamzadeh

Not Just an Idle Game pp. 5-15

Ronald Brown

Self-Crossing Geodesics pp. 16-18

Anton Petrunin

Lessons from the German Tank Problem pp. 19-28

George Clark, Alex Gonye and Steven J. Miller

All Tied Up pp. 29-31

Colin Adams

Proof without Words: Inequality for the Sum of the Diagonals pp. 32-32

Nenad Stojanović

A History of Mathematics in South Africa: Modern Milestones pp. 33-47

Tomoko L. Kitagawa and Eder Kikianty

A Replication Crisis in Mathematics? pp. 48-52

Anthony Bordg

Sandstone Geometry on the Colorado Plateau pp. 53-59

Stan Wagon and H. Allen Curran

Proof Without Words: Sums of Powers of Eight pp. 60-61

Rajib Mukherjee

On Mathematical Towers of Babel and “Translation” as an Epistemic Category pp. 62-73

Michael Friedman

Final Integer pp. 74-75

Thomas Reed Willemain

Changing the Rules: The Legacy of Robert Abbott pp. 76-81

Jim Henle

The Secret Formula by Fabio Toscano pp. 83-84

Andrew J. Simoson

The Great Rift: Literacy, Numeracy, and the Religion–Science Divide by Michael E. Hobart pp. 85-88

Sam Williams

What’s Next? The Mathematical Legacy of William P. Thurston Edited by Dylan Thurston pp. 89-93

Athanase Papadopoulos

Biographie. Felix Hausdorff, Gesammelte Werke. Band IB. by Egbert Brieskorn and Walter Purkert pp. 94-98

Gert Schubring

The Tenth Muse by Catherine Chung pp. 99-100

Mary Gray

Mathematics in Nature pp. 102-102

Robin Wilson

Volume 43, issue 3, 2021

Banach’s Doctorate: A Case of Mistaken Identity pp. 1-7

Danuta Ciesielska and Krzysztof Ciesielski

Variations on the Tait–Kneser Theorem pp. 8-14

Gil Bor, Connor Jackman and Serge Tabachnikov

A Planar Cubic Derived from the Logarithm of the Dedekind $$\eta $$ η -Function pp. 15-26

C. A. Lütken

A Denial pp. 27-28

Colin Adams

Proof Without Words: From Floor to Stairs pp. 29-29

Julije Jakšetić

A Q&A with a Very Young Popular Math and Science Author pp. 30-34

Joseph Mazur and Hamza Emad Alsamraee

On Nondeductive Mathematics pp. 35-39

Zvonimir Šikić

Cutting Cakes and Kissing Circles pp. 40-44

Alexander Müller-Hermes

The Traditional Academy of Mathematics at the Fenglong Mountain of China pp. 45-49

Pengfei Liu

A Figure with Heesch Number 6: Pushing a Two-Decade-Old Boundary pp. 50-53

Bojan Bašić

A History of Gaps pp. 54-59

Bogdan Suceavă

A Competent Translation/A Pitiful Bungle: The Foundations of Geometry pp. 60-70

Jemma Lorenat

A Square Root’s Take on the Pandemic pp. 71-72

Tom Blackford

Mathematics That Dances pp. 73-79

Jim Henle

Mathematics Disputes with Death, and the Devil Intervenes pp. 80-81

Thomas Reed Willemain

In The Shadow of Euler’s Greatness: Adventures in the Rediscovery of an Intriguing Sum pp. 82-91

Seán M. Stewart

Mathematics for Human Flourishing by Francis Su, with reflections by Christopher Jackson pp. 93-94

Pamela Gorkin

The Eighth Detective (Eight Detectives) by Alex Pavesi pp. 95-96

Mary W. Gray

100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection by Stephan Garcia and Steven Miller pp. 97-98

Andrew Simoson

Leonhard Euler’s Letters to a German Princess: A Milestone in the History of Physics Textbooks and More pp. 99-102

Johan C.-E. Stén

Thin Objects: An Abstractionist Account by Øystein Linnebo pp. 103-106

Inger Bakken Pedersen

Correction to: John Conway: The Man Who Played Mathematics pp. 107-107

Dierk Schleicher

Mathematics in Art pp. 108-108

Robin Wilson

Volume 43, issue 2, 2021

Conway’s Cat pp. 2-2

Siobhan Roberts

Conway’s Work on Iteration In memory of John Horton Conway (1937–2020) pp. 3-9

Jeffrey C. Lagarias

J. H. Conway and the End of the Story of Numbers pp. 10-14

Jim Henle

Conway and Aperiodic Tilings pp. 15-20

Charles Radin

Conway’s Knotty Past pp. 21-26

Colin Adams

The-Square-and-Add Markov Chain pp. 27-36

Persi Diaconis, Jimmy He and I. Martin Isaacs

A Symmetric 3D Proof of Heron’s Formula pp. 37-39

Jean-Marc Lévy-Leblond

Conway’s Influence on the Study of Random Tilings pp. 40-46

Jim Propp

Frieze Patterns of Integers pp. 47-54

Karin Baur

The John Conway Hour, NTBA pp. 55-60

Mira Bernstein

Quantum Numbers and q-Deformed Conway–Coxeter Friezes pp. 61-70

Sophie Morier-Genoud and Valentin Ovsienko

Pentasia pp. 71-72

Barry Cipra

John Conway and Mathematical Communities pp. 73-75

Marjorie Senechal

An Elementary-Minded Mathematician pp. 76-78

O. A. S. Karamzadeh

John Conway: The Man Who Played Mathematics pp. 79-91

Dierk Schleicher

Sorted Fibs in Base 3/2 pp. 92-98

Ben Chen, Richard Chen, Joshua Guo, Tanya Khovanova, Shane Lee, Neil Malur, Nastia Polina, Poonam Sahoo, Anuj Sakarda, Nathan Sheffield and Armaan Tipirneni

A Prettier Shell on the Seashore: The Conway Criterion pp. 99-107

Jin Akiyama and Kiyoko Matsunaga

New Stellations pp. 108-114

G. Stuart Pawley

The Surreal Eulogy pp. 115-116

Idriss Aberkane

The Artist pp. 117-123

Jim Henle

John Conway, Tilings, and Me pp. 124-129

Doris Schattschneider

A Hyperbolic Proof of Pascal’s Theorem pp. 130-133

Miguel Acosta and Jean-Marc Schlenker

Biased Coin Puzzles pp. 134-137

Peter Winkler

Mathematics, Magic, and Mischief with John H. Conway pp. 138-141

Colm Mulcahy

Winning Ways for Your Mathematical Plays by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy (On Numbers and Games by John H. Conway) pp. 143-145

Robert A. Hearn

The On-Line Encyclopedia of Integer Sequences pp. 146-147

Steven Finch

Cubed: The Puzzle of Us All by Ernő Rubik pp. 148-149

Osmo Pekonen

Volume 43, issue 1, 2021

Memories with Marjorie: A Historian’s Appreciation pp. 1-4

David E. Rowe

Passing the Editorship pp. 5-6

Chandler Davis

Mister Mary Somerville: Husband and Secretary pp. 7-18

Brigitte Stenhouse

Which Is Greater? pp. 19-19

Peter R. Mercer

Polar Bear or Penguin? Musings on Earth Cartography and Chebyshev Nets pp. 20-24

Boris Khesin and Serge Tabachnikov

Dynamical Systems, Celestial Mechanics, and Music: Pythagoras Revisited pp. 25-39

Julyan H. E. Cartwright, Diego L. González and Oreste Piro

Hyperbolic 3-Manifolds Boot Camp pp. 40-41

Colin Adams

Von Neumann Explains His Game Theory to Gödel, September 1940 pp. 42-44

Jan Plato

The Impact of Emigration on Slovak Mathematics: The Case of the Bratislava Graph Theory Seminar pp. 45-53

Robert Jajcay and Milan Lekár

Food for Thought? pp. 54-54

Lisa Fine and Stan Wagon

Knotted Portals in Virtual Reality pp. 55-63

Moritz L. Sümmermann

Johannes Kepler in Ulm Revisited: New Aspects of Old Known Facts— pp. 64-77

Hans-Joachim Albinus and Detlef Suckrau

Big Math and the One-Brain Barrier: The Tetrapod Model of Mathematical Knowledge pp. 78-87

Jacques Carette, William M. Farmer, Michael Kohlhase and Florian Rabe

On the Pleasures and Pitfalls of Mathematical Storytelling: Conversations with Constance Reid pp. 88-96

David E. Rowe

God Whispered to Cantor pp. 97-97

Josh Hiller

Art for One pp. 98-103

Jim Henle

Factor!al Countdown pp. 104-104

Lawrence M. Lesser

Statistical Analysis of the International Mathematical Olympiad pp. 105-112

Arthur Berg

Addicted to Proof pp. 113-113

Peter Shor

Prime Suspects by Andrew Granville, Jennifer Granville, and Robert J. Lewis pp. 115-116

Marco Abate

Pythagoras’ LegacyEdited by Marcel Danesi pp. 117-119

Andrew J. Simoson

Foolproof, and Other Mathematical Meditations by Brian Hayes pp. 120-122

Colin Beveridge

A Brain for Numbers: The Biology of the Number Instinct by Andreas Nieder pp. 123-127

Larry R. Vandervert

Number Theory Revealed: An Introduction by Andrew Granville pp. 128-129

Marco Abate

Computing: More Recent Developments pp. 130-130

Robin Wilson and Martin Campbell-Kelly