
Jul 2026
James Garfield's Proof of the Pythagorean Theorem
In 1876, a congressman from Ohio proved a 2,400-year-old theorem in a hallway of the Capitol using nothing but a trapezoid. Five years later he was president.
ReadLong reads — science, math, history, and the web worth your attention.

Jul 2026
In 1876, a congressman from Ohio proved a 2,400-year-old theorem in a hallway of the Capitol using nothing but a trapezoid. Five years later he was president.
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Jul 2026
A hand-blown carbon-filament bulb in a Livermore fire station has burned for over 1,090,000 hours since June 1901 — while the industry around it later learned to make bulbs die in 1,000.
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Jul 2026
In 1733, a French naturalist showed that dropping a needle on a ruled floor produces π — exactly, without a circle in sight.
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Jul 2026
From Pythagoras to chaos theory — the seventeen short lines holding up the skeleton of civilization, and where each one still lives in everyday life.
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Jul 2026
In 1514, as Albrecht Dürer painted a portrait of sorrow, he pinned a talisman into its corner. That talisman is one of the most brilliant magic squares in all of European art.
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Jul 2026
Every one of them under 200 pages — classics, modern picks, novels, and a three-book starting route for beginners.
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Jul 2026
Cut two arcs from one template. Stack them. The lower one swells — yet a ruler says they are equal to the millimeter. Joseph Jastrow, 1892.
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Jun 2026
A four-year undergraduate physics reading list — the books a Harvard physics student actually used, from Feynman and Kleppner to Jackson, Sakurai, and Ashcroft & Mermin, with a note on why each earned its place.
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Jun 2026
Sixteen months after Arline died, the most rational physicist of his century wrote her a love letter he never mailed — and sealed it for forty-two years.
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Jun 2026
A half twist turns a two-sided loop into a one-sided object — from Möbius and Listing in 1858 to the recycling symbol in your pocket.
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Jun 2026
Not a pile of recommendations. A path — the order to read in, the choices to make, and the places people quietly give up.
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Jun 2026
In the middle of the Cold War, the Polish post gathered the spacecraft of the first six years onto a single sheet, drawn in thin lines.
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Jun 2026
A Beautiful Mind, Good Will Hunting, Pi, Proof, The Imitation Game, Hidden Figures — twenty-three films where the mathematics is never really about the numbers, but about the people wrestling with them.
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May 2026
A Beautiful Mind, Stand and Deliver, Hidden Figures, Moneyball, X+Y — five films where the mathematics is not decoration but the reason the movie exists, each adapted from a documented real life.
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May 2026
Ninety-four days after his friend died, Robert Thomason dreamed the idea that cracked a fifteen-year problem in algebraic K-theory — and listed the dead man as coauthor.
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May 2026
Riemann, Fermat, Poincaré, Goldbach, Gödel — twenty-three books that each orbit a single mathematical problem, a single question, sometimes a single number.
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May 2026
Pacioli, Dürer, Carroll, Borges, Xenakis — fourteen books on mathematics written by painters, composers, architects, and novelists who never held a faculty position.
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May 2026
Every May, the forests of Tennessee pulse with yellow-green light for two weeks. Tens of thousands of Photinus carolinus fireflies synchronize their flashes without any conductor — pure mathematics in action.
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May 2026
How one image fit the entire observable universe — 93 billion light-years across — into a circle you can hold. The idea came from folding paper for a birthday party.
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May 2026
Not the mug with the pi symbol. Thirteen objects — a Galton Board, a Klein bottle, a Helicone — each one built on a real mathematical idea.
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May 2026
The world's most recognized equation did not appear in its familiar form in 1905. The paper trail from Einstein's journal paper to the 1912 manuscript to the 1946 letter.
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May 2026
Mathematical thinking is a skill, not a talent. Five books that teach proof, logic, and the art of constructing an argument so airtight no counterexample can survive it.
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May 2026
In 1965, Magritte painted a woman on horseback through a forest. Everything is real. Nothing is possible. A 2023 study in the Journal of Vision finally explains exactly how he did it.
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May 2026
Erich Dieckmann's 1931 morphological matrix: 8 rows, 64 variations, from rigid geometry to near-abstraction. The clearest single-page argument for design research the Bauhaus produced.
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Apr 2026
In 1965, Feynman read 500 pounds of math textbooks and wrote the sharpest critique in the history of mathematics education. Sixty years later, the problem is still with us.
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Apr 2026
Written one year before its author died in the Mongol conquest of Khwarazm, al-Jaghmini's Mulakhkhas became the most widely copied Arabic astronomy textbook ever made.
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Apr 2026
Rafael Araujo spends 100 hours on a single drawing — no software, no undo. A selection of his most stunning hand-drawn golden ratio illustrations.
ReadApr 2026
It looks strange. It feels wrong. But 0.999… is not ‘almost 1’ — it is exactly 1. Here is the geometric series proof that settles the matter in five steps.
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Apr 2026
String theory, quantum mechanics, entropy, general relativity — 24 poster designs by 2046 Print Shop that turn physics concepts into beautiful objects worth hanging on a wall.
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Apr 2026
A Trip to Infinity, The Proof, N Is a Number — 25 documentaries that show the other face of mathematics: obsession, beauty, and the particular madness of chasing a question.
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Apr 2026
Numberphile, 3Blue1Brown, Eddie Woo, Socratica, Khan Academy — five YouTube channels built by people who loved mathematics first, and only then turned the camera on.
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Apr 2026
60 feet tall, 14 inches of ground contact. No aluminum tube touches another. The whole thing holds up because of what isn't there.
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Apr 2026
Most proofs that √2 is irrational use prime factorization. This one uses something simpler: if a smallest natural number witnessing rationality existed, you could always find a smaller one.
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Apr 2026
Victorian ornamental turning produced spirograph-like geometric forms of extraordinary precision — not drawn, not sculpted, but calculated by a machine that ran on mathematics.
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Apr 2026
In 1990, Marilyn vos Savant answered a probability puzzle correctly. Nearly 10,000 people — many of them academics — wrote to tell her she was wrong. She was not.
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Apr 2026
Dinara Kasko and artist José Margulis built kinetic sculptures from CNC-cut chocolate. They were assembled, admired, and eaten — which was the point.
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Apr 2026
The four-step learning method developed by Nobel Prize-winning physicist Richard Feynman. How it works, why it works, and how to apply it to anything.
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Apr 2026
On counting all valid 9×9 grids (6.7 sextillion), solving algorithms that work on paper, and why Sudoku is fundamentally a graph coloring problem.
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Apr 2026
Handwritten pages of spinor algebra, twistor diagrams, Penrose tiling prototypes, and Cayley algebra — alongside programs for a 1978 pocket calculator.
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Apr 2026
Arto Inkala's 2012 puzzle: 4.5% trivialization rate, 153 human attempts, three months to design — and what “hardest” actually measures.
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Apr 2026
MIT's first algebra entrance exam. The questions haven't changed. Everything else — tuition, class size, acceptance rate — is unrecognisable.
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Apr 2026
A Leicester paper applied Newtonian mechanics to Pinocchio’s nose — exponential growth, oak, and a hard limit at thirteen.
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Apr 2026
A Pringle is a hyperbolic paraboloid — stack, snap, can, and factory physics.
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Apr 2026
Zurich, 1912–1913 — puzzles, line elements, wrong turns, and the path to November 1915.
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Apr 2026
1897 — Indiana’s House passed a bill that implied π = 3.2. Then a mathematician walked in.
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Apr 2026
Maxwell in stone on Warsaw’s physics library — integral form, street level, no apologies.
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Apr 2026
A single red fox in the Pilliga vs. traps, baits, dogs — and a rewritten plan.
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Apr 2026
Henry Billingsley’s 1570 English Euclid — paper solids that still beat a headset
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Mar 2026
Peng Wang’s modular shelf — six rectangles, one famous sequence
ReadJan 2026
Not a chart to memorize — a pattern to understand on the unit circle
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