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Quantized Academy

cartoon of a red-headed woman holding a flashlight that illuminates certain numbers against a dark blue background
Quantized Academy

How Can Infinitely Many Primes Be Infinitely Far Apart?

By Patrick Honner
July 21, 2022
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Mathematicians have been studying the distribution of prime numbers for thousands of years. Recent results about a curious kind of prime offer a new take on how spread out they can be.

A brown chimpanzee is playing on a yellow smartphone. Three Wordle blocks are above his head, reading 'Bloat," "Watch," and "Chimp"
Quantized Academy

Why Claude Shannon Would Have Been Great at Wordle

By Patrick Honner
May 25, 2022
Read Later

A bit of information theory can help you analyze — and improve — your Wordle game.

Quantized Academy

What a Math Party Game Tells Us About Graph Theory

By Patrick Honner
March 24, 2022
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Play this simple math game with your friends to gain insights into fundamental principles of graph theory.

Quantized Academy

Why Triangles Are Easy and Tetrahedra Are Hard

By Patrick Honner
January 31, 2022
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The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?

Quantized Academy

What Hot Dogs Can Teach Us About Number Theory

By Patrick Honner
November 18, 2021
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The Chinese remainder theorem is an ancient and powerful extension of the simple math of least common multiples.

Quantized Academy

The Simple Math Behind the Mighty Roots of Unity

By Patrick Honner
September 23, 2021
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Solutions to the simplest polynomial equations — called “roots of unity” — have an elegant structure that mathematicians still use to study some of math’s greatest open questions.

Quantized Academy

How to Find Rational Points Like Your Job Depends on It

By Patrick Honner
July 22, 2021
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Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others.

Quantized Academy

How to Solve Equations That Are Stubborn as a Goat

By Patrick Honner
May 6, 2021
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Math teachers have stymied students for hundreds of years by sticking goats in strangely shaped fields. Learn why one grazing goat problem has stumped mathematicians for more than a century.

Quantized Academy

The Mysterious Math of Perfection

By Patrick Honner
March 15, 2021
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Enter the world of perfect numbers and explore the mystery mathematicians have spent thousands of years trying to solve.


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