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cartoon illustration of a female teacher surrounded by students throwing paper airplanes covered in equations against a bright orange background
Quantized Academy

The Basic Algebra Behind Secret Codes and Space Communication

By Patrick Honner
January 23, 2023
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Whether you’re passing secret notes in class or downloading images from a space probe, Reed-Solomon codes offer an ingenious way to embed information and correct for errors.

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The Simple Geometry Behind Brownie Bake Offs and Equal Areas

By Patrick Honner
November 21, 2022
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Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces.

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How Big Is Infinity?

By Patrick Honner
September 27, 2022
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Of all the endless questions children and mathematicians have asked about infinity, one of the biggest has to do with its size.

cartoon of a red-headed woman holding a flashlight that illuminates certain numbers against a dark blue background
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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
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A bit of information theory can help you analyze — and improve — your Wordle game.

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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.

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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?

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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.

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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.


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