Good for nothing·Good for everything
What Is Mathematics Good For? — Nobody loves a thing because it is useful. A manifesto on why mathematics is good for nothing — and, for that very reason, good for everything.
ManifestoFor curious minds
Long reads on mathematics, science, and corners of the web that still feel human — picked slowly, written by
Ali with a light touch, and meant to stick with you after you close the tab.
Articles
Long reads and sharp essays — science, math, and the web worth your attention.
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NewThe Unit Circle Inside the 3-4-5 TriangleThe largest circle that fits inside the right triangle with sides 3, 4 and 5 has a radius of exactly 1. There are three ways to see this, and the third one leads straight to the numbers 1, 2 and 3.

NewThe History of Mathematics, Written in the MarginsFrom a student's clay tablet to the prize Perelman turned down, four thousand years of mathematics copied from hand to hand.

Who Owns the Fruit on an Overhanging Branch?Roman law, an English court, the Turkish Civil Code and the Swedish constitution look at one branch crossing one fence and give four different answers.

NewThe USDA Pomological Watercolor CollectionIn the years when photography could not hold a colour, the US Department of Agriculture hired painters to record the country's fruit, and fifty-six years later it was left with an archive of 7,497 pages.

New1/998001: The Fraction That Lists Every Number but 998Divide 1 by 998001 and every three-digit number from 000 to 999 falls out after the decimal point in order, all except one.

The Best Calculators for Calculus StudentsWhen you are working through derivatives and integrals, the machine's job is not to hand you the answer. It is to let you see the thing you are thinking about.
Beyond Euclid
One email a week, handpicked by Ali. 235 issues so far.

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Videos
Lectures, short films and documentaries that explain one thing properly.
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Video · Mathematics · Physics
Lissajous Curves Explained: From Tuning Forks to Lidar
Tie two perpendicular oscillations to a single point and the pattern it draws tells you the ratio of the two frequencies and the phase between them.

Video · Woodwork · Puzzles
Kagen Sound's Puzzle Boxes: The Maze Is Not in the Box
Kagen Sound builds wooden puzzle boxes with no nails and no metal parts. What he is actually building is a maze, and the maze is not on the box.

Video · Kinetic Sculpture
Caterpillar with Chariot: Reuben Margolin's 20-Year Problem
Reuben Margolin's eighteen-foot wooden caterpillar came out of a math problem that took twenty years, started by a caterpillar he saw in Utah in 1994.

Video · Number Theory
What Is the Riemann Hypothesis? A 16-Minute Explanation
Alex Kontorovich takes someone with no advanced mathematics and, in sixteen minutes, leaves them genuinely understanding the greatest unsolved problem in the field.

Video · Physics · Photography
Why a Cat Always Lands on Its Feet
In 1894 Étienne-Jules Marey dropped a cat in front of a camera and ended the most stubborn physics argument of the nineteenth century.

Video · Geometry · Illusion
Impossible Triangle Explained: Henry Segerman's Real-Life Model
The impossible (Penrose) triangle can't exist. Henry Segerman built one anyway — then lit it in the one way that gives the cheat away.
Gadgets
Curated gadgets from the web — clever, useful, and a little fun, handpicked for your attention.
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Math, science, and voices that reward slow pages — the shelf we steal from between essays.
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Free Math Textbooks from University Mathematicians
Book list · Abakcus
125 free textbooks from university mathematicians, sorted by subject, level and format.

The 17 Best Books for Learning Mathematical Proofs
Book list · Abakcus
A reading order for anyone moving from computing answers to writing proofs, from the first textbook all the way to Gödel.

68 Best Geometry Books for Mathematicians and Designers
Book list · Abakcus
The beautiful, the rigorous, and the hard to find — six shelves running from Byrne's colored Euclid to the geometry of pasta.

25 Short Math Books You Can Finish in One Sitting
Book list · Abakcus
Every one of them under 200 pages — classics, modern picks, novels, and a three-book starting route.
Tools
Handpicked apps, sites, and extensions from the open web — useful, odd, and worth bookmarking.
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How Many People Are in Space Right Now? — One question, one huge numeral. Today it says ten — and it hasn't said zero since October 2000.

Fall Foliage Prediction Map — Every US county, coloured week by week from no change to past peak — and the 1918 four-day rule that explains the pattern.

A Quiet Place to Learn Mathematics — About 250 mathematics entries, every figure drawn by hand and downloadable as an SVG. One person wrote it all, and gave the whole thing away.

The Map of Mathematics — Quanta Magazine mapped the living frontier of mathematical research — 41 nodes, four territories, every connection a link to original reporting.

Pattern Radio: Whale Songs — Google AI and NOAA opened 8,000 hours of underwater recordings to anyone with a browser. Scroll through a year of ocean. Find the whales.

Save Everything. Organize Nothing. — mymind auto-tags every link, image, and note you save — then finds them when you search. No folders. No system. Just save.