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What I learned building a math fact app for my third grader

2d ago · 3 min read · TL;DR I built a free math fact app for my third grader called MathBuilders. There's no growth story to tell, no users yet except my daughter, just a working tool and what I learned shipping it. The me

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I tested Bertrand's 1887 ballot formula on 648 vote splits and the answer was always (p-q)/(p+q).

2d ago · 6 min read · Part 100 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In 1887 Joseph Bertrand sent a four-page note to the Comptes Rendus of the French Academy. The question he ...

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I located the first 30 zeros of Riemann's zeta on the critical line. They all sat exactly where 1859 said they would.

2d ago · 6 min read · Part 95 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In November 1859, Bernhard Riemann submitted an eight-page memoir to the Berlin Academy. The paper was about...

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I sampled a million coin flips with decaying probabilities. The 1909 dividing line showed up exactly where Borel said it would.

2d ago · 6 min read · Part 96 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In 1909 Émile Borel was working through a problem about decimal expansions of real numbers, and he proved a ...

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Noether's 1918 theorem holds to 14 decimals in a symplectic Kepler orbit

2d ago · 7 min read · Part 91 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In July 1918, Emmy Noether published a short paper in the Göttingen Nachrichten with a title that sounds lik...

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Verhulst's 1838 logistic fits the US census 1790-1910 within 3.5%, then misses 2020 by 140 million

2d ago · 6 min read · Part 83 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. Pierre-François Verhulst was a Belgian mathematician writing in 1838, in direct reply to Malthus. Malthus ha...

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I checked Kepler's 1611 claim that F_{n+1}/F_n approaches phi. The match is exact, and the convergence rate hits log(1/phi^2) to six digits.

2d ago · 7 min read · Part 78 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In a letter written around 1611, Johannes Kepler pointed out something his contemporaries had mostly overloo...

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I counted every twin prime under ten million. Hardy and Littlewood's 1923 guess landed within 0.3%.

2d ago · 6 min read · Part 73 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. Twin primes are pairs of primes two apart: (3, 5), (5, 7), (11, 13), (17, 19), and on it goes. They get rare...

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Guthrie's 1852 four-color guess survives 1000 random planar graphs

2d ago · 6 min read · Part 72 of Forgotten Theories, a series re-testing old scientific claims with modern tools. Find the rest under the #forgotten-theories tag. In October 1852 a young law student named Francis Guthrie was coloring a map of the counties of England. He ...

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The Mathematical Impossibility of Blockchain Address Collisions: How 2^256 Protects Your Wealth

May 6 · 5 min read · WELCOME TO CURIOSITY CRUNCH — EPISODE 01 - A new series where we take the technical phenomena we blindly trust every day, stop ignoring them, and ruthlessly deconstruct the math, engineering, and arch

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What I learned building a math fact app for my third grader

I tested Bertrand's 1887 ballot formula on 648 vote splits and the answer was always (p-q)/(p+q).

I located the first 30 zeros of Riemann's zeta on the critical line. They all sat exactly where 1859 said they would.

I sampled a million coin flips with decaying probabilities. The 1909 dividing line showed up exactly where Borel said it would.

Noether's 1918 theorem holds to 14 decimals in a symplectic Kepler orbit

Verhulst's 1838 logistic fits the US census 1790-1910 within 3.5%, then misses 2020 by 140 million

I checked Kepler's 1611 claim that F_{n+1}/F_n approaches phi. The match is exact, and the convergence rate hits log(1/phi^2) to six digits.

I counted every twin prime under ten million. Hardy and Littlewood's 1923 guess landed within 0.3%.

Guthrie's 1852 four-color guess survives 1000 random planar graphs

The Mathematical Impossibility of Blockchain Address Collisions: How 2^256 Protects Your Wealth