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An illustration of a mathematician staring up at an infinite pile of cubes of varying sizes and colors.
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Why the Sum of Three Cubes Is a Hard Math Problem

November 5, 2019

Looking for answers in infinite space is hard. High school math can help narrow your search.

Two competitors are racing to solve the multiplication problem 25 times 63 in two separate lanes of a running track. One competitor is using the standard multiplication algorithm while the other is using Karatsuba method.
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On Your Mark, Get Set, Multiply

September 23, 2019

The way you learned to multiply works, but computers employ a faster algorithm.

Art for "Color Me Polynomial"
Quantized Academy

Color Me Polynomial

August 13, 2019

Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.

Art for "How Geometry, Data and Neighbors Predict Your Favorite Movies"
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How Geometry, Data and Neighbors Predict Your Favorite Movies

May 22, 2019

A little high school geometry can help you understand the basic math behind movie recommendation engines.

Art for "Where Proof, Evidence and Imagination Intersect"
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Where Proof, Evidence and Imagination Intersect

March 14, 2019

In mathematics, where proofs are everything, evidence is important too. But evidence is only as good as the model, and modeling can be dangerous business. So how much evidence is enough?

Art for "Unscrambling the Hidden Secrets of Superpermutations"
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Unscrambling the Hidden Secrets of Superpermutations

January 16, 2019

A science fiction novelist and an internet commenter made breakthroughs on a longstanding problem about the number of ways you can arrange a set of items. What did they discover?

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The (Imaginary) Numbers at the Edge of Reality

October 25, 2018

Odd enough to potentially model the strangeness of the physical world, complex numbers with “imaginary” components are rooted in the familiar.

Art for "How Network Math Can Help You Make Friends"
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How Network Math Can Help You Make Friends

August 20, 2018

Studying the structure of existing friendships in your community can help you forge the best connections when forming a new circle of friends.

Illustration for "Four Is Not Enough"
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Four Is Not Enough

June 18, 2018

How many colors do you need to color an infinite plane so that no points 1 unit apart are the same color?