## New this week

pioneerworks.org

### Picture This: The Hyperbolic Disk

pioneerworks.org

Sep 26th · Theoretical physicist Sean Carroll visualizes a mind-bending geometry that inspired many, from Einstein to Escher. · Shared by 62

kevingal.com

### Board games and Markov chains

kevingal.com

~16 min read · Sep 25th · Using Markov chains to model simple board games. · Shared by 16

Scientific American

### How Squishy Math Is Revealing Doughnuts in the Brain

Scientific American

~12 min read · Sep 17th · Topology, sometimes called rubber sheet geometry, is finding patterns in the brain, drugs and evolution · Shared by 7, including ProfGhristMath, Danielle! 🌩

Quanta Magazine

### The New Math of Wrinkling Patterns

Quanta Magazine

4 min read · Sep 22nd · A comprehensive mathematical framework treats wrinkling patterns as elegant solutions to geometric problems. · Shared by 5

The Point Magazine

### What Are Numbers?

The Point Magazine

1 min read · Sep 16th · What does it mean for a number to exist? In the philosophy of mathematics, there are two general camps when it comes to numbers: there are the Platonists—or the “realists”—who think numbers somehow… · Shared by 65

Quanta Magazine

### Richard Rusczyk Is a Math Evangelist Who Preaches Problem-Solving

Quanta Magazine

9 min read · Sep 13th · Richard Rusczyk, founder of Art of Problem Solving, has a vision for bringing “joyous, beautiful math” — and problem-solving — to classrooms everywhere. · Shared by 84

Quillette

### Math for Future Scientists: Require Statistics, Not Calculus

Quillette

7 min read · Sep 15th · The case for ending calculus requirements for science majors. · Shared by 117, including Steven Pinker, Brian Laung Aoaeh, CFA

## Recently popular

Quanta Magazine

### Chaos Researchers Can Now Predict Perilous Points of No Return

Quanta Magazine

4 min read · Sep 15th · A custom-built machine learning algorithm excels at the formidable task of predicting when a complex system is about to switch to a wildly different mode of behavior. · Shared by 411, including Esther Schindler

Quanta Magazine

### How Claude Shannon’s Concept of Entropy Quantifies Information

Quanta Magazine

4 min read · Sep 6th · What’s a message, really? Claude Shannon recognized that the elemental ingredient is surprise. · Shared by 361, including Josep M. Ganyet, Brian Laung Aoaeh, CFA

Big Think

### The biggest difference between physics and mathematics

Big Think

~11 min read · Aug 30th · If you can model anything in the Universe with an equation, mathematics is how you get the solution(s). Physics must go a step further. · Shared by 247

Quanta Magazine

### How Isaac Newton Discovered the Binomial Power Series

Quanta Magazine

7 min read · Aug 31st · Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums. · Shared by 237, including Christopher D. Long (Крістофер Д. Лонг), Brian Laung Aoaeh, CFA

Spektrum

### Why A4? – The Mathematical Beauty of Paper Size

Spektrum

5 min read · Sep 2nd · Unless you have skipped a lot of school, or work, or both – or you live in the USA – you have probably used an A4 sheet of paper before now. Have you ever wondered … · Shared by 196, including Michael Weibel

The New Yorker

### How Mathematics Changed Me

The New Yorker

4 min read · Sep 6th · If one is inclined toward mysteries, mathematics can lead one to the conclusion that behind the veil of life there is a structure and an order. · Shared by 147, including Charles Duhigg, davidabrock

Nautilus Magazine

### Are All Brains Good at Math?

Nautilus Magazine

~12 min read · Sep 1st · Math provokes dread in so many people—yet we are all born with a sense for numbers. · Shared by 131, including Anita Leirfall, Brian Laung Aoaeh, CFA

Quillette

### Math for Future Scientists: Require Statistics, Not Calculus

Quillette

7 min read · Sep 15th · The case for ending calculus requirements for science majors. · Shared by 117, including Steven Pinker, Brian Laung Aoaeh, CFA

Quanta Magazine

### Richard Rusczyk Is a Math Evangelist Who Preaches Problem-Solving

Quanta Magazine

9 min read · Sep 13th · Richard Rusczyk, founder of Art of Problem Solving, has a vision for bringing “joyous, beautiful math” — and problem-solving — to classrooms everywhere. · Shared by 84

The Point Magazine

### What Are Numbers?

The Point Magazine

1 min read · Sep 16th · What does it mean for a number to exist? In the philosophy of mathematics, there are two general camps when it comes to numbers: there are the Platonists—or the “realists”—who think numbers somehow… · Shared by 65

## All-time favorites

ciechanow.ski

### Mechanical Watch – Bartosz Ciechanowski

ciechanow.ski

20+ min read · May 4th · Interactive article explaining how a mechanical watch works. · Shared by 1489, including David Papandrew, Colin Wright, Carlos Scheidegger, Max Roser, Chris Heilmann, Eric Vitiello, Paul Graham, Nils Hitze, Nico Luchsinger, Tim Holman, tanh(mmalex) 🇺🇦, Leo Polovets, Romain Guy, Tactical Tech, Michael Bench-Capon, Craig Mod, Krzysztof Zabłocki, Esther Schindler, Oliver Reichenstein, Ben Thompson

Quanta Magazine

### In Mathematics, It Often Takes a Good Map to Find Answers

Quanta Magazine

5 min read · From 2020 · Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead. · Shared by 1427, including Evan (he/him), Luminous Kaleidoscope, Mario Clemente, Mike Tamir, PhD, Christian Surchi, Anne-Laure Le Cunff

Quanta Magazine

### Computing Expert Says Programmers Need More Math

Quanta Magazine

9 min read · May 17th · Leslie Lamport revolutionized how computers talk to each other. Now he’s working on how engineers talk to their machines. · Shared by 1395, including Ines Bieler, Evan Kirstel the $B2B Techfluencer, Nico Müller 🇺🇦, Marcos, Ben Lorica 罗瑞卡, Steven Sinofsky, Christopher D. Long (Крістофер Д. Лонг), Matthew Turland

Farnam Street

### Predicting the Future with Bayes’ Theorem

Farnam Street

5 min read · May 30th · Baye’s theorem is a useful tool that helps us make more accurate predictions about the likelihood of potential outcomes. · Shared by 680, including Scott Monty, Jason Lauritsen

Quanta Magazine

### The Map of Mathematics

Quanta Magazine

From 2020 · Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe. · Shared by 673, including Brian Laung Aoaeh, CFA, Liv 😷, Fabricio Teixeira, Katja Evertz, Logical Analysis, luis antónio santos, Nico Müller 🇺🇦, Oleg Baskov, Philipp Laurim, Ziad Shihab, Merkstatt, Kat, Cameron Yick, Matthias Lampe, Guy Longworth, Jennifer Ouellette, Mark Brandon, Dr. Ganapathi Pulipaka 🇺🇸, Kim Albrecht, William El Kaim

Farnam Street

### Math Makes Life Beautiful.

Farnam Street

5 min read · May 10th · Math has long been the language of science, engineering, and finance, but can math help you feel calm on a turbulent flight? Get a date? Make better decisions? Here are some heroic ways math shows up… · Shared by 660, including Leonardo Sumulong, Marcos, Jason Lauritsen, Mike Taylor, Scott Monty, Massimiliano Aroffo

Quanta Magazine

### The Secret Math Behind Mind-Reading Magic Tricks

Quanta Magazine

~12 min read · May 27th · Four puzzle solutions reveal different ways to divine someone’s hidden number with impossibly little information. · Shared by 633, including Howard Getson

Quanta Magazine

### The Computer Scientist Who Parlays Failures Into Breakthroughs

Quanta Magazine

8 min read · Jun 13th · Daniel Spielman solves important problems by thinking hard — about other questions. · Shared by 604, including Evan Kirstel the $B2B Techfluencer, Howard Getson, Pascal Sulser, Nico Müller 🇺🇦, Brian Laung Aoaeh, CFA, Ines Bieler

neilwithdata.com

### Mathematics for the adventurous self-learner

neilwithdata.com

~20 min read · From 2020 · For over six years now, I've been studying mathematics on my own in my spare time - working my way through books, exercises, and online courses. In this post I'll share what books and resources I've… · Shared by 562, including ΛLΞX TRΞJʘ, Kenneth Kalmer, Liv 😷, Kevin Roberts, Mattia Fregola 🤔, ash, Jonathan Kogan, sircharlsxavier, Desmond Williams, Matthias Lampe, rohit